25,932,550

2 × 5² × 7 × 74093

25,932,550 factors as 2 × 5^2 × 7 × 74093. Its 24 positive divisors give a proper-divisor sum of 29,193,386, so this integer is abundant. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 74093

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 55,125,936

Proper Divisor Sum 29,193,386

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #25932521 ← → #25932563

Radix Representation

Decimal	25932550
Binary	1100010111011001100000110 (25 bits)
Octal	0o142731406
Hexadecimal	0x18BB306

Divisor Catalog (24)

Collatz Trajectory (211 steps to reach 1)

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

25,932,550 12,966,275 38,898,826 19,449,413 58,348,240 29,174,120 14,587,060 7,293,530 3,646,765 10,940,296 5,470,148 2,735,074 1,367,537 4,102,612 2,051,306 1,025,653 3,076,960 1,538,480 769,240 384,620 192,310 96,155 288,466 144,233 432,700 216,350 108,175 324,526 162,263 486,790 243,395 730,186 365,093 1,095,280 547,640 273,820 136,910 68,455 205,366 102,683 308,050 154,025 462,076 231,038 115,519 346,558 173,279 519,838 259,919 779,758 389,879 1,169,638 584,819 1,754,458 877,229 2,631,688 1,315,844 657,922 328,961 986,884

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