25,038,328

2³ × 7 × 31 × 14423

25,038,328 factors as 2^3 × 7 × 31 × 14423. Its 32 positive divisors give a proper-divisor sum of 30,349,832, so this integer is abundant. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 31 × 14423

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 55,388,160

Proper Divisor Sum 30,349,832

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #25038289 ← → #25038347

Radix Representation

Decimal	25038328
Binary	1011111100000110111111000 (25 bits)
Octal	0o137406770
Hexadecimal	0x17E0DF8

Divisor Catalog (32)

Collatz Trajectory (136 steps to reach 1)

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

25,038,328 12,519,164 6,259,582 3,129,791 9,389,374 4,694,687 14,084,062 7,042,031 21,126,094 10,563,047 31,689,142 15,844,571 47,533,714 23,766,857 71,300,572 35,650,286 17,825,143 53,475,430 26,737,715 80,213,146 40,106,573 120,319,720 60,159,860 30,079,930 15,039,965 45,119,896 22,559,948 11,279,974 5,639,987 16,919,962 8,459,981 25,379,944 12,689,972 6,344,986 3,172,493 9,517,480 4,758,740 2,379,370 1,189,685 3,569,056 1,784,528 892,264 446,132 223,066 111,533 334,600 167,300 83,650 41,825 125,476 62,738 31,369 94,108 47,054 23,527 70,582 35,291 105,874 52,937 158,812

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