31,652,012

2² × 7 × 1130429

31,652,012 factors as 2^2 × 7 × 1130429. Its 12 positive divisors give a proper-divisor sum of 31,652,068, so this integer is abundant. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 1130429

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 63,304,080

Proper Divisor Sum 31,652,068

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #31651993 ← → #31652017

Radix Representation

Decimal	31652012
Binary	1111000101111100010101100 (25 bits)
Octal	0o170574254
Hexadecimal	0x1E2F8AC

Divisor Catalog (12)

1 2 4 7 14 28 1,130,429 2,260,858 4,521,716 7,913,003 15,826,006 31,652,012

Collatz Trajectory (188 steps to reach 1)

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

31,652,012 15,826,006 7,913,003 23,739,010 11,869,505 35,608,516 17,804,258 8,902,129 26,706,388 13,353,194 6,676,597 20,029,792 10,014,896 5,007,448 2,503,724 1,251,862 625,931 1,877,794 938,897 2,816,692 1,408,346 704,173 2,112,520 1,056,260 528,130 264,065 792,196 396,098 198,049 594,148 297,074 148,537 445,612 222,806 111,403 334,210 167,105 501,316 250,658 125,329 375,988 187,994 93,997 281,992 140,996 70,498 35,249 105,748 52,874 26,437 79,312 39,656 19,828 9,914 4,957 14,872 7,436 3,718 1,859 5,578

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