5,745,584

2⁴ × 13 × 23 × 1201

5,745,584 has the prime decomposition 2^4 × 13 × 23 × 1201. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 13 × 23 × 1201

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 12,520,032

Proper Divisor Sum 6,774,448

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #5745583 ← → #5745599

Radix Representation

Decimal	5745584
Binary	10101111010101110110000 (23 bits)
Octal	0o25725660
Hexadecimal	0x57ABB0

Divisor Catalog (40)

1 2 4 8 13 16 23 26 46 52 92 104 184 208 299 368 598 1,196 1,201 2,392 2,402 4,784 4,804 9,608 15,613 19,216 27,623 31,226 55,246 62,452 110,492 124,904 220,984 249,808 359,099 441,968 718,198 1,436,396 2,872,792 5,745,584

Collatz Trajectory (214 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

5,745,584 2,872,792 1,436,396 718,198 359,099 1,077,298 538,649 1,615,948 807,974 403,987 1,211,962 605,981 1,817,944 908,972 454,486 227,243 681,730 340,865 1,022,596 511,298 255,649 766,948 383,474 191,737 575,212 287,606 143,803 431,410 215,705 647,116 323,558 161,779 485,338 242,669 728,008 364,004 182,002 91,001 273,004 136,502 68,251 204,754 102,377 307,132 153,566 76,783 230,350 115,175 345,526 172,763 518,290 259,145 777,436 388,718 194,359 583,078 291,539 874,618 437,309 1,311,928

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