| 6400 | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| All Numbers | |||||||||
| 6400 | 6401 | 6402 | 6403 | 6404 | 6405 | 6406 | 6407 | 6408 | 6409 |
| 6410 | 6411 | 6412 | 6413 | 6414 | 6415 | 6416 | 6417 | 6418 | 6419 |
| 6420 | 6421 | 6422 | 6423 | 6424 | 6425 | 6426 | 6427 | 6428 | 6429 |
| 6430 | 6431 | 6432 | 6433 | 6434 | 6435 | 6436 | 6437 | 6438 | 6439 |
| 6440 | 6441 | 6442 | 6443 | 6444 | 6445 | 6446 | 6447 | 6448 | 6449 |
| 6450 | 6451 | 6452 | 6453 | 6454 | 6455 | 6456 | 6457 | 6458 | 6459 |
| 6460 | 6461 | 6462 | 6463 | 6464 | 6465 | 6466 | 6467 | 6468 | 6469 |
| 6470 | 6471 | 6472 | 6473 | 6474 | 6475 | 6476 | 6477 | 6478 | 6479 |
| 6480 | 6481 | 6482 | 6483 | 6484 | 6485 | 6486 | 6487 | 6488 | 6489 |
| 6490 | 6491 | 6492 | 6493 | 6494 | 6495 | 6496 | 6497 | 6498 | 6499 |
6400 is the number following 6399 and preceding 6401.
Properties
- Its factors are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 256, 320, 400, 640, 800, 1280, 1600, 3200 and 6400, making it a composite number.[1][2][3]
- 6400 is an even number[4][5] .
- 6400 is an unhappy number.[6][7]
- 6400 is a centered octagonal number.[8]
- 6400 is abundant.[9]
- Its prime factorization is 28 × 52.
- 6400 is a Harshad number, meaning it is divisible by the sum of its digits.[10]
Approximations
| Notation | Lower bound | Upper bound | |
|---|---|---|---|
| Up-arrow notation | 80 ↑ 2 | ||
| Scientific notation | 6.4 x 103 | 6.401 x 103 | |
| Slow-growing hierarchy | \(g_{\omega^{\omega}}(5)\) | \(g_{\omega^{\omega}}(6)\) | |
| Copy notation | 63[2] | 64[2] | |
| Chained arrow notation | 80 → 2 | ||
| Bowers' Exploding Array Function/Bird's array notation | {80,2} | ||
| Fast-growing hierarchy | f2(9) | f2(10) | |
| Hardy hierarchy | Hω(3200) | Hω(3200) | |
| Middle-growing hierarchy | m(ω,12) | m(ω,13) | |
| Hyper-E notation | E3.8062 | ||
| Hyper-E notation (non-10 base) | \(E[80]2\) | ||
| Hyperfactorial array notation | 7! | 8! | |
| X-Sequence Hyper-Exponential Notation | 80{1}2 | ||
| Steinhaus-Moser Notation | 5[3] | 6[3] | |
| PlantStar's Debut Notation | [2] | [3] | |
| H* function | H(0.2) | H(0.3) | |
| Bashicu matrix system with respect to version 4 | (0)[80] | (0)[80] | |
| m(n) map | m(1)(5) | m(1)(6) | |
| s(n) map | \(s(1)(\lambda x . x+1)(3199)\) | \(s(1)(\lambda x . x+1)(3200)\) | |
Sources
- ↑ OEIS A002808 - Composite numbers
- ↑ Wolfram Alpha Is 6400 composite?
- ↑ Wolfram Alpha 6400's factors
- ↑ OEIS A005843 - Even numbers
- ↑ Wolfram Alpha Is 6400 even?
- ↑ Wolfram Alpha Unhappy Numbers
- ↑ OEIS A031177 - Unhappy Numbers
- ↑ OEIS A016754 - Centered octagonal numbers
- ↑ OEIS A005101 - Abundant numbers
- ↑ OEIS A005349 - Harshad numbers