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Atlas › Integer Profiles › Node 25,831,704

25,831,704

23 × 3 × 17 × 63313
Abundant Even Composite

25,831,704 factors as 2^3 × 3 × 17 × 63313. Its 32 positive divisors give a proper-divisor sum of 42,547,416, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 17 × 63313
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 68,379,120
Proper Divisor Sum 42,547,416
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #25831703 ← → #25831739

Radix Representation

Decimal 25831704
Binary 1100010100010100100011000 (25 bits)
Octal 0o142424430
Hexadecimal 0x18A2918

Divisor Catalog (32)

1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 63,313 126,626 189,939 253,252 379,878 506,504 759,756 1,076,321 1,519,512 2,152,642 3,228,963 4,305,284 6,457,926 8,610,568 12,915,852 25,831,704

Collatz Trajectory (118 steps to reach 1)

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

25,831,704 12,915,852 6,457,926 3,228,963 9,686,890 4,843,445 14,530,336 7,265,168 3,632,584 1,816,292 908,146 454,073 1,362,220 681,110 340,555 1,021,666 510,833 1,532,500 766,250 383,125 1,149,376 574,688 287,344 143,672 71,836 35,918 17,959 53,878 26,939 80,818 40,409 121,228 60,614 30,307 90,922 45,461 136,384 68,192 34,096 17,048 8,524 4,262 2,131 6,394 3,197 9,592 4,796 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556

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