| 2880 | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| All Numbers | |||||||||
| 2800 | 2801 | 2802 | 2803 | 2804 | 2805 | 2806 | 2807 | 2808 | 2809 |
| 2810 | 2811 | 2812 | 2813 | 2814 | 2815 | 2816 | 2817 | 2818 | 2819 |
| 2820 | 2821 | 2822 | 2823 | 2824 | 2825 | 2826 | 2827 | 2828 | 2829 |
| 2830 | 2831 | 2832 | 2833 | 2834 | 2835 | 2836 | 2837 | 2838 | 2839 |
| 2840 | 2841 | 2842 | 2843 | 2844 | 2845 | 2846 | 2847 | 2848 | 2849 |
| 2850 | 2851 | 2852 | 2853 | 2854 | 2855 | 2856 | 2857 | 2858 | 2859 |
| 2860 | 2861 | 2862 | 2863 | 2864 | 2865 | 2866 | 2867 | 2868 | 2869 |
| 2870 | 2871 | 2872 | 2873 | 2874 | 2875 | 2876 | 2877 | 2878 | 2879 |
| 2880 | 2881 | 2882 | 2883 | 2884 | 2885 | 2886 | 2887 | 2888 | 2889 |
| 2890 | 2891 | 2892 | 2893 | 2894 | 2895 | 2896 | 2897 | 2898 | 2899 |
2880 is the number following 2879 and preceding 2881[1].
Properties[]
- Its factors are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 144, 160, 180, 192, 240, 288, 320, 360, 480, 576, 720, 960, 1440 and 2880, making it a composite number.[2][3][4]
- 2880 is an even number[5][6] .
- 2880 is an unhappy number.[7][8]
- 2880 is abundant.[9]
- Its prime factorization is 26 × 32 × 51.
- 2880 is a Harshad number, meaning it is divisible by the sum of its digits.[10]
- 2880 is the smallest number with exactly n divisors.[11]
- 2880 divides the (right) concatenation of all numbers <= 2880 written in base 25 (most significant digit on left).[12]
- 2880 is the number of graphs with 6 nodes on a circle without crossing edges.[13]
- 2880 is a minimal number.[14]
- 2880 is a highly factorable numbers: a number with a record number of proper factorizations.[15]
- First positive integer with the 43rd omega-sequence.[16]
Approximations[]
| Notation | Lower bound | Upper bound | |
|---|---|---|---|
| Up-arrow notation | 54 ↑ 2 | ||
| Scientific notation | 2.88 x 103 | 2.881 x 103 | |
| Slow-growing hierarchy | \(g_{\omega^{\omega}}(4)\) | \(g_{\omega^{\omega}}(5)\) | |
| Copy notation | 28[2] | 29[2] | |
| Chained arrow notation | 54 → 2 | ||
| Bowers' Exploding Array Function/Bird's array notation | {54,2} | ||
| Fast-growing hierarchy | f2(8) | f2(9) | |
| Hardy hierarchy | Hω(1440) | Hω(1440) | |
| Middle-growing hierarchy | m(ω,11) | m(ω,12) | |
| Hyper-E notation | E3.4594 | ||
| Hyper-E notation (non-10 base) | \(E[54]2\) | ||
| Hyperfactorial array notation | 6! | 7! | |
| X-Sequence Hyper-Exponential Notation | 54{1}2 | ||
| Steinhaus-Moser Notation | 4[3] | 5[3] | |
| PlantStar's Debut Notation | [2] | [3] | |
| H* function | H(0.1) | H(0.2) | |
| Bashicu matrix system with respect to version 4 | (0)[53] | (0)[54] | |
| m(n) map | m(1)(4) | m(1)(5) | |
| s(n) map | \(s(1)(\lambda x . x+1)(1439)\) | \(s(1)(\lambda x . x+1)(1440)\) | |
Sources[]
- ↑ Wolfram Alpha 2880
- ↑ OEIS A002808 - Composite numbers
- ↑ Wolfram Alpha Is 2880 composite?
- ↑ Wolfram Alpha 2880's factors
- ↑ OEIS A005843 - Even numbers
- ↑ Wolfram Alpha Is 2880 even?
- ↑ Wolfram Alpha Unhappy Numbers
- ↑ OEIS A031177 - Unhappy Numbers
- ↑ OEIS A005101 - Abundant numbers
- ↑ OEIS A005349 - Harshad numbers
- ↑ https://oeis.org/A005179
- ↑ https://oeis.org/A029470
- ↑ https://oeis.org/A054726
- ↑ https://oeis.org/A007416
- ↑ https://oeis.org/A033833
- ↑ https://oeis.org/A325238