10032 is the number following 10031 and preceding 10033.
Properties[]
- Its factors are 1, 2, 3, 4, 6, 8, 11, 12, 16, 19, 22, 24, 33, 38, 44, 48, 57, 66, 76, 88, 114, 132, 152, 176, 209, 228, 264, 304, 418, 456, 528, 627, 836, 912, 1254, 1672, 2508, 3344, 5016 and 10032, making it a composite number.[1][2][3]
- 10032 is an even number[4][5] .
- 10032 is an unhappy number.[6][7]
- 10032 is abundant.[8]
- Its prime factorization is 24 × 31 × 111 × 191.
Approximations[]
| Notation | Lower bound | Upper bound | |
|---|---|---|---|
| Up-arrow notation | 100 ↑ 2 | ||
| Scientific notation | 1.003 x 104 | 1.004 x 104 | |
| Slow-growing hierarchy | \(g_{\omega^{\omega}}(5)\) | \(g_{\omega^{\omega}}(6)\) | |
| Copy notation | 9[4] | 1[5] | |
| Chained arrow notation | 100 → 2 | ||
| Bowers' Exploding Array Function/Bird's array notation | {100,2} | ||
| Fast-growing hierarchy | f2(9) | f2(10) | |
| Hardy hierarchy | Hω(5016) | Hω(5016) | |
| Middle-growing hierarchy | m(ω,13) | m(ω,14) | |
| Hyper-E notation | E4.0014 | ||
| Hyper-E notation (non-10 base) | \(E[100]2\) | ||
| Hyperfactorial array notation | 7! | 8! | |
| X-Sequence Hyper-Exponential Notation | 100{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 | \(s(1)(\lambda x . x+1)(5015)\) | \(s(1)(\lambda x . x+1)(5016)\) | |
Sources[]
- ↑ OEIS A002808 - Composite numbers
- ↑ Wolfram Alpha Is 10032 composite?
- ↑ Wolfram Alpha 10032's factors
- ↑ OEIS A005843 - Even numbers
- ↑ Wolfram Alpha Is 10032 even?
- ↑ Wolfram Alpha Unhappy Numbers
- ↑ OEIS A031177 - Unhappy Numbers
- ↑ OEIS A005101 - Abundant numbers