13,137,004

2² × 53 × 61967

13,137,004 factors as 2^2 × 53 × 61967. Its 12 positive divisors give a proper-divisor sum of 10,286,900, so this integer is deficient. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 2^2 × 53 × 61967

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 23,423,904

Proper Divisor Sum 10,286,900

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #13136957 ← → #13137011

Radix Representation

Decimal	13137004
Binary	110010000111010001101100 (24 bits)
Octal	0o62072154
Hexadecimal	0xC8746C

Divisor Catalog (12)

1 2 4 53 106 212 61,967 123,934 247,868 3,284,251 6,568,502 13,137,004

Collatz Trajectory (166 steps to reach 1)

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

13,137,004 6,568,502 3,284,251 9,852,754 4,926,377 14,779,132 7,389,566 3,694,783 11,084,350 5,542,175 16,626,526 8,313,263 24,939,790 12,469,895 37,409,686 18,704,843 56,114,530 28,057,265 84,171,796 42,085,898 21,042,949 63,128,848 31,564,424 15,782,212 7,891,106 3,945,553 11,836,660 5,918,330 2,959,165 8,877,496 4,438,748 2,219,374 1,109,687 3,329,062 1,664,531 4,993,594 2,496,797 7,490,392 3,745,196 1,872,598 936,299 2,808,898 1,404,449 4,213,348 2,106,674 1,053,337 3,160,012 1,580,006 790,003 2,370,010 1,185,005 3,555,016 1,777,508 888,754 444,377 1,333,132 666,566 333,283 999,850 499,925

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