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Atlas › Integer Profiles › Node 25,452,294

25,452,294

2 × 3 × 7 × 691 × 877
Abundant Even Composite

25,452,294 factors as 2 × 3 × 7 × 691 × 877. Its 32 positive divisors give a proper-divisor sum of 32,875,002, so this integer is abundant. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 691 × 877
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 58,327,296
Proper Divisor Sum 32,875,002
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #25452289 ← → #25452313

Radix Representation

Decimal 25452294
Binary 1100001000101111100000110 (25 bits)
Octal 0o141057406
Hexadecimal 0x1845F06

Divisor Catalog (32)

1 2 3 6 7 14 21 42 691 877 1,382 1,754 2,073 2,631 4,146 4,837 5,262 6,139 9,674 12,278 14,511 18,417 29,022 36,834 606,007 1,212,014 1,818,021 3,636,042 4,242,049 8,484,098 12,726,147 25,452,294

Collatz Trajectory (110 steps to reach 1)

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

25,452,294 12,726,147 38,178,442 19,089,221 57,267,664 28,633,832 14,316,916 7,158,458 3,579,229 10,737,688 5,368,844 2,684,422 1,342,211 4,026,634 2,013,317 6,039,952 3,019,976 1,509,988 754,994 377,497 1,132,492 566,246 283,123 849,370 424,685 1,274,056 637,028 318,514 159,257 477,772 238,886 119,443 358,330 179,165 537,496 268,748 134,374 67,187 201,562 100,781 302,344 151,172 75,586 37,793 113,380 56,690 28,345 85,036 42,518 21,259 63,778 31,889 95,668 47,834 23,917 71,752 35,876 17,938 8,969 26,908

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