13,036,972

2² × 13 × 239 × 1049

13,036,972 factors as 2^2 × 13 × 239 × 1049. Its 24 positive divisors give a proper-divisor sum of 11,659,028, so this integer is deficient. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 239 × 1049

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 24,696,000

Proper Divisor Sum 11,659,028

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #13036967 ← → #13036973

Radix Representation

Decimal	13036972
Binary	110001101110110110101100 (24 bits)
Octal	0o61566654
Hexadecimal	0xC6EDAC

Divisor Catalog (24)

Collatz Trajectory (210 steps to reach 1)

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

13,036,972 6,518,486 3,259,243 9,777,730 4,888,865 14,666,596 7,333,298 3,666,649 10,999,948 5,499,974 2,749,987 8,249,962 4,124,981 12,374,944 6,187,472 3,093,736 1,546,868 773,434 386,717 1,160,152 580,076 290,038 145,019 435,058 217,529 652,588 326,294 163,147 489,442 244,721 734,164 367,082 183,541 550,624 275,312 137,656 68,828 34,414 17,207 51,622 25,811 77,434 38,717 116,152 58,076 29,038 14,519 43,558 21,779 65,338 32,669 98,008 49,004 24,502 12,251 36,754 18,377 55,132 27,566 13,783

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