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Atlas › Integer Profiles › Node 31,171,672

31,171,672

23 × 7 × 233 × 2389
Abundant Even Composite

31,171,672 factors as 2^3 × 7 × 233 × 2389. Its 32 positive divisors give a proper-divisor sum of 35,939,528, so this integer is abundant. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 233 × 2389
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 67,111,200
Proper Divisor Sum 35,939,528
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #31171643 ← → #31171681

Radix Representation

Decimal 31171672
Binary 1110110111010010001011000 (25 bits)
Octal 0o166722130
Hexadecimal 0x1DBA458

Divisor Catalog (32)

1 2 4 7 8 14 28 56 233 466 932 1,631 1,864 2,389 3,262 4,778 6,524 9,556 13,048 16,723 19,112 33,446 66,892 133,784 556,637 1,113,274 2,226,548 3,896,459 4,453,096 7,792,918 15,585,836 31,171,672

Collatz Trajectory (95 steps to reach 1)

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

31,171,672 15,585,836 7,792,918 3,896,459 11,689,378 5,844,689 17,534,068 8,767,034 4,383,517 13,150,552 6,575,276 3,287,638 1,643,819 4,931,458 2,465,729 7,397,188 3,698,594 1,849,297 5,547,892 2,773,946 1,386,973 4,160,920 2,080,460 1,040,230 520,115 1,560,346 780,173 2,340,520 1,170,260 585,130 292,565 877,696 438,848 219,424 109,712 54,856 27,428 13,714 6,857 20,572 10,286 5,143 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917

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