24,251,328

2⁶ × 3² × 71 × 593

24,251,328 factors as 2^6 × 3^2 × 71 × 593. Its 84 positive divisors give a proper-divisor sum of 46,358,640, so this integer is abundant. The Collatz stopping time is 221 steps.

Prime Factor Structure

Factorization String 2^6 × 3^2 × 71 × 593

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 70,609,968

Proper Divisor Sum 46,358,640

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #24251327 ← → #24251347

Radix Representation

Decimal	24251328
Binary	1011100100000101111000000 (25 bits)
Octal	0o134405700
Hexadecimal	0x1720BC0

Divisor Catalog (60 of 84)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 142 144 192 213 284 288 426 568 576 593 639 852 1,136 1,186 1,278 1,704 1,779 2,272 2,372 2,556 3,408 3,558 4,544 4,744 5,112 5,337 6,816 7,116 9,488 10,224 10,674 13,632 14,232 18,976 20,448 21,348 28,464 37,952 40,896 42,103 42,696 56,928

Collatz Trajectory (221 steps to reach 1)

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

24,251,328 12,125,664 6,062,832 3,031,416 1,515,708 757,854 378,927 1,136,782 568,391 1,705,174 852,587 2,557,762 1,278,881 3,836,644 1,918,322 959,161 2,877,484 1,438,742 719,371 2,158,114 1,079,057 3,237,172 1,618,586 809,293 2,427,880 1,213,940 606,970 303,485 910,456 455,228 227,614 113,807 341,422 170,711 512,134 256,067 768,202 384,101 1,152,304 576,152 288,076 144,038 72,019 216,058 108,029 324,088 162,044 81,022 40,511 121,534 60,767 182,302 91,151 273,454 136,727 410,182 205,091 615,274 307,637 922,912

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