12,472,013

31 × 53 × 7591

12,472,013 factors as 31 × 53 × 7591. Its 8 positive divisors give a proper-divisor sum of 646,963, so this integer is deficient. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 31 × 53 × 7591

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,118,976

Proper Divisor Sum 646,963

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #12471973 ← → #12472039

Radix Representation

Decimal	12472013
Binary	101111100100111011001101 (24 bits)
Octal	0o57447315
Hexadecimal	0xBE4ECD

Divisor Catalog (8)

1 31 53 1,643 7,591 235,321 402,323 12,472,013

Collatz Trajectory (91 steps to reach 1)

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

12,472,013 37,416,040 18,708,020 9,354,010 4,677,005 14,031,016 7,015,508 3,507,754 1,753,877 5,261,632 2,630,816 1,315,408 657,704 328,852 164,426 82,213 246,640 123,320 61,660 30,830 15,415 46,246 23,123 69,370 34,685 104,056 52,028 26,014 13,007 39,022 19,511 58,534 29,267 87,802 43,901 131,704 65,852 32,926 16,463 49,390 24,695 74,086 37,043 111,130 55,565 166,696 83,348 41,674 20,837 62,512 31,256 15,628 7,814 3,907 11,722 5,861 17,584 8,792 4,396 2,198

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