10164 is the number following 10163 and preceding 10165.
Properties[]
- Its factors are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 121, 132, 154, 231, 242, 308, 363, 462, 484, 726, 847, 924, 1452, 1694, 2541, 3388, 5082 and 10164, making it a composite number.[1][2][3] It is also a cubefree number.[4]
- 10164 is an even number[5][6] .
- 10164 is an unhappy number.[7][8]
- 10164 is abundant.[9]
- Its prime factorization is 22 × 31 × 71 × 112.
Approximations[]
| Notation | Lower bound | Upper bound | |
|---|---|---|---|
| Up-arrow notation | 101 ↑ 2 | ||
| Scientific notation | 1.016 x 104 | 1.017 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(5082) | Hω(5082) | |
| Middle-growing hierarchy | m(ω,13) | m(ω,14) | |
| Hyper-E notation | E4.0071 | ||
| 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 | \(s(1)(\lambda x . x+1)(5081)\) | \(s(1)(\lambda x . x+1)(5082)\) | |
Sources[]
- ↑ OEIS A002808 - Composite numbers
- ↑ Wolfram Alpha Is 10164 composite?
- ↑ Wolfram Alpha 10164's factors
- ↑ OEIS A004709 - Cubefree numbers
- ↑ OEIS A005843 - Even numbers
- ↑ Wolfram Alpha Is 10164 even?
- ↑ Wolfram Alpha Unhappy Numbers
- ↑ OEIS A031177 - Unhappy Numbers
- ↑ OEIS A005101 - Abundant numbers