25,902,504

2³ × 3⁴ × 71 × 563

25,902,504 factors as 2^3 × 3^4 × 71 × 563. Its 80 positive divisors give a proper-divisor sum of 47,801,016, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^3 × 3^4 × 71 × 563

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 73,703,520

Proper Divisor Sum 47,801,016

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #25902497 ← → #25902521

Radix Representation

Decimal	25902504
Binary	1100010110011110110101000 (25 bits)
Octal	0o142636650
Hexadecimal	0x18B3DA8

Divisor Catalog (60 of 80)

1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 81 108 142 162 213 216 284 324 426 563 568 639 648 852 1,126 1,278 1,689 1,704 1,917 2,252 2,556 3,378 3,834 4,504 5,067 5,112 5,751 6,756 7,668 10,134 11,502 13,512 15,201 15,336 20,268 23,004 30,402 39,973 40,536 45,603 46,008 60,804 79,946 91,206 119,919

Collatz Trajectory (105 steps to reach 1)

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

25,902,504 12,951,252 6,475,626 3,237,813 9,713,440 4,856,720 2,428,360 1,214,180 607,090 303,545 910,636 455,318 227,659 682,978 341,489 1,024,468 512,234 256,117 768,352 384,176 192,088 96,044 48,022 24,011 72,034 36,017 108,052 54,026 27,013 81,040 40,520 20,260 10,130 5,065 15,196 7,598 3,799 11,398 5,699 17,098 8,549 25,648 12,824 6,412 3,206 1,603 4,810 2,405 7,216 3,608 1,804 902 451 1,354 677 2,032 1,016 508 254 127

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