31,612,349

29² × 37589

31,612,349 factors as 29^2 × 37589. Its 6 positive divisors give a proper-divisor sum of 1,128,541, so this integer is deficient. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 29^2 × 37589

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 32,740,890

Proper Divisor Sum 1,128,541

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #31612313 ← → #31612351

Radix Representation

Decimal	31612349
Binary	1111000100101110110111101 (25 bits)
Octal	0o170456675
Hexadecimal	0x1E25DBD

Divisor Catalog (6)

1 29 841 37,589 1,090,081 31,612,349

Collatz Trajectory (149 steps to reach 1)

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

31,612,349 94,837,048 47,418,524 23,709,262 11,854,631 35,563,894 17,781,947 53,345,842 26,672,921 80,018,764 40,009,382 20,004,691 60,014,074 30,007,037 90,021,112 45,010,556 22,505,278 11,252,639 33,757,918 16,878,959 50,636,878 25,318,439 75,955,318 37,977,659 113,932,978 56,966,489 170,899,468 85,449,734 42,724,867 128,174,602 64,087,301 192,261,904 96,130,952 48,065,476 24,032,738 12,016,369 36,049,108 18,024,554 9,012,277 27,036,832 13,518,416 6,759,208 3,379,604 1,689,802 844,901 2,534,704 1,267,352 633,676 316,838 158,419 475,258 237,629 712,888 356,444 178,222 89,111 267,334 133,667 401,002 200,501

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