| 2401 | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| All Numbers | |||||||||
| 2400 | 2401 | 2402 | 2403 | 2404 | 2405 | 2406 | 2407 | 2408 | 2409 |
| 2410 | 2411 | 2412 | 2413 | 2414 | 2415 | 2416 | 2417 | 2418 | 2419 |
| 2420 | 2421 | 2422 | 2423 | 2424 | 2425 | 2426 | 2427 | 2428 | 2429 |
| 2430 | 2431 | 2432 | 2433 | 2434 | 2435 | 2436 | 2437 | 2438 | 2439 |
| 2440 | 2441 | 2442 | 2443 | 2444 | 2445 | 2446 | 2447 | 2448 | 2449 |
| 2450 | 2451 | 2452 | 2453 | 2454 | 2455 | 2456 | 2457 | 2458 | 2459 |
| 2460 | 2461 | 2462 | 2463 | 2464 | 2465 | 2466 | 2467 | 2468 | 2469 |
| 2470 | 2471 | 2472 | 2473 | 2474 | 2475 | 2476 | 2477 | 2478 | 2479 |
| 2480 | 2481 | 2482 | 2483 | 2484 | 2485 | 2486 | 2487 | 2488 | 2489 |
| 2490 | 2491 | 2492 | 2493 | 2494 | 2495 | 2496 | 2497 | 2498 | 2499 |
2401 is the number following 2400 and preceding 2402[1].
Properties
- Its factors are 1, 7, 49, 343 and 2401, making it a composite number.[2][3][4]
- 2401 is an odd number[5][6] .
- 2401 is an unhappy number.[7][8]
- 2401 is a centered octagonal number.[9]
- 2401 is deficient.[10]
- Its prime factorization is 74.
- 2401 is a Harshad number, meaning it is divisible by the sum of its digits.[11]
- 2401 is a fourth power, as it is equal to \(7^4\).
Approximations
| Notation | Lower bound | Upper bound | |
|---|---|---|---|
| Up-arrow notation | 49 ↑ 2 | ||
| Scientific notation | 2.401 x 103 | 2.402 x 103 | |
| Slow-growing hierarchy | \(g_{\omega^{\omega}}(4)\) | \(g_{\omega^{\omega}}(5)\) | |
| Copy notation | 23[2] | 24[2] | |
| Chained arrow notation | 49 → 2 | ||
| Bowers' Exploding Array Function/Bird's array notation | {49,2} | ||
| Fast-growing hierarchy | f2(8) | f2(9) | |
| Hardy hierarchy | Hω(1200) | Hω(1201) | |
| Middle-growing hierarchy | m(ω,11) | m(ω,12) | |
| Hyper-E notation | E3.3804 | ||
| Hyper-E notation (non-10 base) | \(E[49]2\) | ||
| Hyperfactorial array notation | 6! | 7! | |
| X-Sequence Hyper-Exponential Notation | 49{1}2 | ||
| Steinhaus-Moser Notation | 4[3] | 5[3] | |
| PlantStar's Debut Notation | [2] | [3] | |
| H* function | H(0.1) | H(0.2) | |
| Bashicu matrix system with respect to version 4 | (0)[49] | (0)[49] | |
| m(n) map | m(1)(4) | m(1)(5) | |
| s(n) map | \(s(1)(\lambda x . x+1)(1199)\) | \(s(1)(\lambda x . x+1)(1200)\) | |
Sources
- ↑ Wolfram Alpha 2401
- ↑ OEIS A002808 - Composite numbers
- ↑ Wolfram Alpha Is 2401 composite?
- ↑ Wolfram Alpha 2401's factors
- ↑ OEIS A005408 - Odd numbers
- ↑ Wolfram Alpha Is 2401 odd?
- ↑ Wolfram Alpha Unhappy Numbers
- ↑ OEIS A031177 - Unhappy Numbers
- ↑ OEIS A016754 - Centered octagonal numbers
- ↑ OEIS A005100 - Deficient numbers
- ↑ OEIS A005349 - Harshad numbers