24,257,838

2 × 3 × 11² × 33413

24,257,838 factors as 2 × 3 × 11^2 × 33413. Its 24 positive divisors give a proper-divisor sum of 29,070,906, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2 × 3 × 11^2 × 33413

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 53,328,744

Proper Divisor Sum 29,070,906

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #24257837 ← → #24257843

Radix Representation

Decimal	24257838
Binary	1011100100010010100101110 (25 bits)
Octal	0o134422456
Hexadecimal	0x172252E

Divisor Catalog (24)

Collatz Trajectory (185 steps to reach 1)

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

24,257,838 12,128,919 36,386,758 18,193,379 54,580,138 27,290,069 81,870,208 40,935,104 20,467,552 10,233,776 5,116,888 2,558,444 1,279,222 639,611 1,918,834 959,417 2,878,252 1,439,126 719,563 2,158,690 1,079,345 3,238,036 1,619,018 809,509 2,428,528 1,214,264 607,132 303,566 151,783 455,350 227,675 683,026 341,513 1,024,540 512,270 256,135 768,406 384,203 1,152,610 576,305 1,728,916 864,458 432,229 1,296,688 648,344 324,172 162,086 81,043 243,130 121,565 364,696 182,348 91,174 45,587 136,762 68,381 205,144 102,572 51,286 25,643

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