72,088,677

3³ × 2669951

72,088,677 factors as 3^3 × 2669951. Its 8 positive divisors give a proper-divisor sum of 34,709,403, so this integer is deficient. The Collatz stopping time is 259 steps.

Prime Factor Structure

Factorization String 3^3 × 2669951

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 106,798,080

Proper Divisor Sum 34,709,403

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #72088673 ← → #72088697

Radix Representation

Decimal	72088677
Binary	100010010111111110001100101 (27 bits)
Octal	0o422776145
Hexadecimal	0x44BFC65

Divisor Catalog (8)

1 3 9 27 2,669,951 8,009,853 24,029,559 72,088,677

Collatz Trajectory (259 steps to reach 1)

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

72,088,677 216,266,032 108,133,016 54,066,508 27,033,254 13,516,627 40,549,882 20,274,941 60,824,824 30,412,412 15,206,206 7,603,103 22,809,310 11,404,655 34,213,966 17,106,983 51,320,950 25,660,475 76,981,426 38,490,713 115,472,140 57,736,070 28,868,035 86,604,106 43,302,053 129,906,160 64,953,080 32,476,540 16,238,270 8,119,135 24,357,406 12,178,703 36,536,110 18,268,055 54,804,166 27,402,083 82,206,250 41,103,125 123,309,376 61,654,688 30,827,344 15,413,672 7,706,836 3,853,418 1,926,709 5,780,128 2,890,064 1,445,032 722,516 361,258 180,629 541,888 270,944 135,472 67,736 33,868 16,934 8,467 25,402 12,701

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