10048 is the number following 10047 and preceding 10049.
Properties
- Its factors are 1, 2, 4, 8, 16, 32, 64, 157, 314, 628, 1256, 2512, 5024 and 10048, making it a composite number.[1][2][3]
- 10048 is an even number[4][5] .
- 10048 is an unhappy number.[6][7]
- 10048 is deficient.[8]
- Its prime factorization is 26 × 1571.
Approximations
| Notation | Lower bound | Upper bound | |
|---|---|---|---|
| Up-arrow notation | 100 ↑ 2 | ||
| Scientific notation | 1.005 x 104 | 1.006 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(5024) | Hω(5024) | |
| Middle-growing hierarchy | m(ω,13) | m(ω,14) | |
| Hyper-E notation | E4.0021 | ||
| 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 | \(s(1)(\lambda x . x+1)(5023)\) | \(s(1)(\lambda x . x+1)(5024)\) | |
Sources
- ↑ OEIS A002808 - Composite numbers
- ↑ Wolfram Alpha Is 10048 composite?
- ↑ Wolfram Alpha 10048's factors
- ↑ OEIS A005843 - Even numbers
- ↑ Wolfram Alpha Is 10048 even?
- ↑ Wolfram Alpha Unhappy Numbers
- ↑ OEIS A031177 - Unhappy Numbers
- ↑ OEIS A005100 - Deficient numbers