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Atlas › Integer Profiles › Node 25,014,352

25,014,352

24 × 11 × 311 × 457
Abundant Even Composite

25,014,352 factors as 2^4 × 11 × 311 × 457. Its 40 positive divisors give a proper-divisor sum of 28,142,960, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 311 × 457
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 53,157,312
Proper Divisor Sum 28,142,960
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #25014349 ← → #25014359

Radix Representation

Decimal 25014352
Binary 1011111011011000001010000 (25 bits)
Octal 0o137330120
Hexadecimal 0x17DB050

Divisor Catalog (40)

1 2 4 8 11 16 22 44 88 176 311 457 622 914 1,244 1,828 2,488 3,421 3,656 4,976 5,027 6,842 7,312 10,054 13,684 20,108 27,368 40,216 54,736 80,432 142,127 284,254 568,508 1,137,016 1,563,397 2,274,032 3,126,794 6,253,588 12,507,176 25,014,352

Collatz Trajectory (167 steps to reach 1)

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

25,014,352 12,507,176 6,253,588 3,126,794 1,563,397 4,690,192 2,345,096 1,172,548 586,274 293,137 879,412 439,706 219,853 659,560 329,780 164,890 82,445 247,336 123,668 61,834 30,917 92,752 46,376 23,188 11,594 5,797 17,392 8,696 4,348 2,174 1,087 3,262 1,631 4,894 2,447 7,342 3,671 11,014 5,507 16,522 8,261 24,784 12,392 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124

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