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Atlas › Integer Profiles › Node 25,757,730

25,757,730

2 × 33 × 5 × 19 × 5021
Abundant Even Composite

25,757,730 factors as 2 × 3^3 × 5 × 19 × 5021. Its 64 positive divisors give a proper-divisor sum of 46,559,070, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 19 × 5021
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 72,316,800
Proper Divisor Sum 46,559,070
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #25757707 ← → #25757741

Radix Representation

Decimal 25757730
Binary 1100010010000100000100010 (25 bits)
Octal 0o142204042
Hexadecimal 0x1890822

Divisor Catalog (60 of 64)

1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1,026 1,710 2,565 5,021 5,130 10,042 15,063 25,105 30,126 45,189 50,210 75,315 90,378 95,399 135,567 150,630 190,798 225,945 271,134 286,197 451,890 476,995 572,394 677,835 858,591 953,990 1,355,670 1,430,985 1,717,182 2,575,773 2,861,970 4,292,955

Collatz Trajectory (167 steps to reach 1)

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

25,757,730 12,878,865 38,636,596 19,318,298 9,659,149 28,977,448 14,488,724 7,244,362 3,622,181 10,866,544 5,433,272 2,716,636 1,358,318 679,159 2,037,478 1,018,739 3,056,218 1,528,109 4,584,328 2,292,164 1,146,082 573,041 1,719,124 859,562 429,781 1,289,344 644,672 322,336 161,168 80,584 40,292 20,146 10,073 30,220 15,110 7,555 22,666 11,333 34,000 17,000 8,500 4,250 2,125 6,376 3,188 1,594 797 2,392 1,196 598 299 898 449 1,348 674 337 1,012 506 253 760

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