31,627,723

19 × 97 × 131²

31,627,723 factors as 19 × 97 × 131^2. Its 12 positive divisors give a proper-divisor sum of 2,266,557, so this integer is deficient. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 19 × 97 × 131^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 33,894,280

Proper Divisor Sum 2,266,557

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #31627721 ← → #31627727

Radix Representation

Decimal	31627723
Binary	1111000101001100111001011 (25 bits)
Octal	0o170514713
Hexadecimal	0x1E299CB

Divisor Catalog (12)

1 19 97 131 1,843 2,489 12,707 17,161 241,433 326,059 1,664,617 31,627,723

Collatz Trajectory (126 steps to reach 1)

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

31,627,723 94,883,170 47,441,585 142,324,756 71,162,378 35,581,189 106,743,568 53,371,784 26,685,892 13,342,946 6,671,473 20,014,420 10,007,210 5,003,605 15,010,816 7,505,408 3,752,704 1,876,352 938,176 469,088 234,544 117,272 58,636 29,318 14,659 43,978 21,989 65,968 32,984 16,492 8,246 4,123 12,370 6,185 18,556 9,278 4,639 13,918 6,959 20,878 10,439 31,318 15,659 46,978 23,489 70,468 35,234 17,617 52,852 26,426 13,213 39,640 19,820 9,910 4,955 14,866 7,433 22,300 11,150 5,575

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