26,315,412

2² × 3 × 29 × 75619

26,315,412 factors as 2^2 × 3 × 29 × 75619. Its 24 positive divisors give a proper-divisor sum of 37,205,388, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 29 × 75619

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 63,520,800

Proper Divisor Sum 37,205,388

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #26315363 ← → #26315413

Radix Representation

Decimal	26315412
Binary	1100100011000101010010100 (25 bits)
Octal	0o144305224
Hexadecimal	0x1918A94

Divisor Catalog (24)

Collatz Trajectory (118 steps to reach 1)

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

26,315,412 13,157,706 6,578,853 19,736,560 9,868,280 4,934,140 2,467,070 1,233,535 3,700,606 1,850,303 5,550,910 2,775,455 8,326,366 4,163,183 12,489,550 6,244,775 18,734,326 9,367,163 28,101,490 14,050,745 42,152,236 21,076,118 10,538,059 31,614,178 15,807,089 47,421,268 23,710,634 11,855,317 35,565,952 17,782,976 8,891,488 4,445,744 2,222,872 1,111,436 555,718 277,859 833,578 416,789 1,250,368 625,184 312,592 156,296 78,148 39,074 19,537 58,612 29,306 14,653 43,960 21,980 10,990 5,495 16,486 8,243 24,730 12,365 37,096 18,548 9,274 4,637

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