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Atlas › Integer Profiles › Node 31,085,656

31,085,656

23 × 7 × 17 × 32653
Abundant Even Composite

31,085,656 factors as 2^3 × 7 × 17 × 32653. Its 32 positive divisors give a proper-divisor sum of 39,446,984, so this integer is abundant. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 17 × 32653
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 70,532,640
Proper Divisor Sum 39,446,984
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #31085647 ← → #31085657

Radix Representation

Decimal 31085656
Binary 1110110100101010001011000 (25 bits)
Octal 0o166452130
Hexadecimal 0x1DA5458

Divisor Catalog (32)

1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 952 32,653 65,306 130,612 228,571 261,224 457,142 555,101 914,284 1,110,202 1,828,568 2,220,404 3,885,707 4,440,808 7,771,414 15,542,828 31,085,656

Collatz Trajectory (95 steps to reach 1)

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

31,085,656 15,542,828 7,771,414 3,885,707 11,657,122 5,828,561 17,485,684 8,742,842 4,371,421 13,114,264 6,557,132 3,278,566 1,639,283 4,917,850 2,458,925 7,376,776 3,688,388 1,844,194 922,097 2,766,292 1,383,146 691,573 2,074,720 1,037,360 518,680 259,340 129,670 64,835 194,506 97,253 291,760 145,880 72,940 36,470 18,235 54,706 27,353 82,060 41,030 20,515 61,546 30,773 92,320 46,160 23,080 11,540 5,770 2,885 8,656 4,328 2,164 1,082 541 1,624 812 406 203 610 305 916

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