10017 is the number following 10016 and preceding 10018.
Properties
- Its factors are 1, 3, 7, 9, 21, 27, 53, 63, 159, 189, 371, 477, 1113, 1431, 3339 and 10017, making it a composite number.[1][2][3]
- 10017 is an odd number[4][5] .
- 10017 is an unhappy number.[6][7]
- 10017 is deficient.[8]
- Its prime factorization is 33 × 71 × 531.
- 10017 is a Harshad number, meaning it is divisible by the sum of its digits.[9]
Approximations
| Notation | Lower bound | Upper bound | |
|---|---|---|---|
| Up-arrow notation | 100 ↑ 2 | ||
| Scientific notation | 1.002 x 104 | 1.003 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(5008) | Hω(5009) | |
| Middle-growing hierarchy | m(ω,13) | m(ω,14) | |
| Hyper-E notation | E4.0007 | ||
| 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 | \(s(1)(\lambda x . x+1)(5007)\) | \(s(1)(\lambda x . x+1)(5008)\) | |
Sources
- ↑ OEIS A002808 - Composite numbers
- ↑ Wolfram Alpha Is 10017 composite?
- ↑ Wolfram Alpha 10017's factors
- ↑ OEIS A005408 - Odd numbers
- ↑ Wolfram Alpha Is 10017 odd?
- ↑ Wolfram Alpha Unhappy Numbers
- ↑ OEIS A031177 - Unhappy Numbers
- ↑ OEIS A005100 - Deficient numbers
- ↑ OEIS A005349 - Harshad numbers