| 8100 | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| All Numbers | |||||||||
| 8100 | 8101 | 8102 | 8103 | 8104 | 8105 | 8106 | 8107 | 8108 | 8109 |
| 8110 | 8111 | 8112 | 8113 | 8114 | 8115 | 8116 | 8117 | 8118 | 8119 |
| 8120 | 8121 | 8122 | 8123 | 8124 | 8125 | 8126 | 8127 | 8128 | 8129 |
| 8130 | 8131 | 8132 | 8133 | 8134 | 8135 | 8136 | 8137 | 8138 | 8139 |
| 8140 | 8141 | 8142 | 8143 | 8144 | 8145 | 8146 | 8147 | 8148 | 8149 |
| 8150 | 8151 | 8152 | 8153 | 8154 | 8155 | 8156 | 8157 | 8158 | 8159 |
| 8160 | 8161 | 8162 | 8163 | 8164 | 8165 | 8166 | 8167 | 8168 | 8169 |
| 8170 | 8171 | 8172 | 8173 | 8174 | 8175 | 8176 | 8177 | 8178 | 8179 |
| 8180 | 8181 | 8182 | 8183 | 8184 | 8185 | 8186 | 8187 | 8188 | 8189 |
| 8190 | 8191 | 8192 | 8193 | 8194 | 8195 | 8196 | 8197 | 8198 | 8199 |
8100 is the number following 8099 and preceding 8101[1].
Properties
- Its factors are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 81, 90, 100, 108, 135, 150, 162, 180, 225, 270, 300, 324, 405, 450, 540, 675, 810, 900, 1350, 1620, 2025, 2700, 4050 and 8100, making it a composite number.[2][3][4]
- 8100 is an even number[5][6] .
- 8100 is an unhappy number.[7][8]
- 8100 is a centered octagonal number.[9]
- 8100 is abundant.[10]
- Its prime factorization is 22 × 34 × 52.
- 8100 is a Harshad number, meaning it is divisible by the sum of its digits.[11]
Approximations
| Notation | Lower bound | Upper bound | |
|---|---|---|---|
| Up-arrow notation | 90 ↑ 2 | ||
| Scientific notation | 8.1 x 103 | 8.101 x 103 | |
| Slow-growing hierarchy | \(g_{\omega^{\omega}}(5)\) | \(g_{\omega^{\omega}}(6)\) | |
| Copy notation | 80[2] | 81[2] | |
| Chained arrow notation | 90 → 2 | ||
| Bowers' Exploding Array Function/Bird's array notation | {90,2} | ||
| Fast-growing hierarchy | f2(9) | f2(10) | |
| Hardy hierarchy | Hω(4050) | Hω(4050) | |
| Middle-growing hierarchy | m(ω,12) | m(ω,13) | |
| Hyper-E notation | E3.9085 | ||
| Hyper-E notation (non-10 base) | \(E[90]2\) | ||
| Hyperfactorial array notation | 7! | 8! | |
| X-Sequence Hyper-Exponential Notation | 90{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)[90] | (0)[90] | |
| m(n) map | m(1)(5) | m(1)(6) | |
| s(n) map | \(s(1)(\lambda x . x+1)(4049)\) | \(s(1)(\lambda x . x+1)(4050)\) | |
Sources
- ↑ Wolfram Alpha 8100
- ↑ OEIS A002808 - Composite numbers
- ↑ Wolfram Alpha Is 8100 composite?
- ↑ Wolfram Alpha 8100's factors
- ↑ OEIS A005843 - Even numbers
- ↑ Wolfram Alpha Is 8100 even?
- ↑ Wolfram Alpha Unhappy Numbers
- ↑ OEIS A031177 - Unhappy Numbers
- ↑ OEIS A016754 - Centered octagonal numbers
- ↑ OEIS A005101 - Abundant numbers
- ↑ OEIS A005349 - Harshad numbers