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Atlas › Integer Profiles › Node 25,577,652

25,577,652

22 × 3 × 29 × 67 × 1097
Abundant Even Composite

25,577,652 factors as 2^2 × 3 × 29 × 67 × 1097. Its 48 positive divisors give a proper-divisor sum of 37,140,108, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 29 × 67 × 1097
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 62,717,760
Proper Divisor Sum 37,140,108
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #25577599 ← → #25577659

Radix Representation

Decimal 25577652
Binary 1100001100100100010110100 (25 bits)
Octal 0o141444264
Hexadecimal 0x18648B4

Divisor Catalog (48)

1 2 3 4 6 12 29 58 67 87 116 134 174 201 268 348 402 804 1,097 1,943 2,194 3,291 3,886 4,388 5,829 6,582 7,772 11,658 13,164 23,316 31,813 63,626 73,499 95,439 127,252 146,998 190,878 220,497 293,996 381,756 440,994 881,988 2,131,471 4,262,942 6,394,413 8,525,884 12,788,826 25,577,652

Collatz Trajectory (123 steps to reach 1)

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

25,577,652 12,788,826 6,394,413 19,183,240 9,591,620 4,795,810 2,397,905 7,193,716 3,596,858 1,798,429 5,395,288 2,697,644 1,348,822 674,411 2,023,234 1,011,617 3,034,852 1,517,426 758,713 2,276,140 1,138,070 569,035 1,707,106 853,553 2,560,660 1,280,330 640,165 1,920,496 960,248 480,124 240,062 120,031 360,094 180,047 540,142 270,071 810,214 405,107 1,215,322 607,661 1,822,984 911,492 455,746 227,873 683,620 341,810 170,905 512,716 256,358 128,179 384,538 192,269 576,808 288,404 144,202 72,101 216,304 108,152 54,076 27,038

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