72,004,309

13² × 426061

72,004,309 factors as 13^2 × 426061. Its 6 positive divisors give a proper-divisor sum of 5,965,037, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 13^2 × 426061

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 77,969,346

Proper Divisor Sum 5,965,037

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #72004307 ← → #72004321

Radix Representation

Decimal	72004309
Binary	100010010101011001011010101 (27 bits)
Octal	0o422531325
Hexadecimal	0x44AB2D5

Divisor Catalog (6)

1 13 169 426,061 5,538,793 72,004,309

Collatz Trajectory (114 steps to reach 1)

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

72,004,309 216,012,928 108,006,464 54,003,232 27,001,616 13,500,808 6,750,404 3,375,202 1,687,601 5,062,804 2,531,402 1,265,701 3,797,104 1,898,552 949,276 474,638 237,319 711,958 355,979 1,067,938 533,969 1,601,908 800,954 400,477 1,201,432 600,716 300,358 150,179 450,538 225,269 675,808 337,904 168,952 84,476 42,238 21,119 63,358 31,679 95,038 47,519 142,558 71,279 213,838 106,919 320,758 160,379 481,138 240,569 721,708 360,854 180,427 541,282 270,641 811,924 405,962 202,981 608,944 304,472 152,236 76,118

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