10152 is the number following 10151 and preceding 10153.
Properties
- Its factors are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 47, 54, 72, 94, 108, 141, 188, 216, 282, 376, 423, 564, 846, 1128, 1269, 1692, 2538, 3384, 5076 and 10152, making it a composite number.[1][2][3]
- 10152 is an even number[4][5] .
- 10152 is a happy number.[6][7]
- 10152 is abundant.[8]
- Its prime factorization is 23 × 33 × 471.
- 10152 is a Harshad number, meaning it is divisible by the sum of its digits.[9]
Approximations
| Notation | Lower bound | Upper bound | |
|---|---|---|---|
| Up-arrow notation | 101 ↑ 2 | ||
| Scientific notation | 1.015 x 104 | 1.016 x 104 | |
| Slow-growing hierarchy | \(g_{\omega^{\omega}}(5)\) | \(g_{\omega^{\omega}}(6)\) | |
| Copy notation | 9[4] | 1[5] | |
| Chained arrow notation | 101 → 2 | ||
| Bowers' Exploding Array Function/Bird's array notation | {101,2} | ||
| Fast-growing hierarchy | f2(9) | f2(10) | |
| Hardy hierarchy | Hω(5076) | Hω(5076) | |
| Middle-growing hierarchy | m(ω,13) | m(ω,14) | |
| Hyper-E notation | E4.0066 | ||
| Hyper-E notation (non-10 base) | \(E[101]2\) | ||
| Hyperfactorial array notation | 7! | 8! | |
| X-Sequence Hyper-Exponential Notation | 101{1}2 | ||
| Steinhaus-Moser Notation | 5[3] | 6[3] | |
| PlantStar's Debut Notation | [2] | [3] | |
| H* function | H(0.3) | H(0.4) | |
| Bashicu matrix system with respect to version 4 | (0)[100] | (0)[101] | |
| m(n) map | m(1)(5) | m(1)(6) | |
| s(n) map | \(s(1)(\lambda x . x+1)(5075)\) | \(s(1)(\lambda x . x+1)(5076)\) | |
Sources
- ↑ OEIS A002808 - Composite numbers
- ↑ Wolfram Alpha Is 10152 composite?
- ↑ Wolfram Alpha 10152's factors
- ↑ OEIS A005843 - Even numbers
- ↑ Wolfram Alpha Is 10152 even?
- ↑ Wolfram Alpha Happy Numbers
- ↑ OEIS A007770 - Happy Numbers
- ↑ OEIS A005101 - Abundant numbers
- ↑ OEIS A005349 - Harshad numbers