72,088,696

2³ × 277 × 32531

72,088,696 factors as 2^3 × 277 × 32531. Its 16 positive divisors give a proper-divisor sum of 63,569,744, so this integer is deficient. The Collatz stopping time is 321 steps.

Prime Factor Structure

Factorization String 2^3 × 277 × 32531

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 135,658,440

Proper Divisor Sum 63,569,744

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #72088673 ← → #72088697

Radix Representation

Decimal	72088696
Binary	100010010111111110001111000 (27 bits)
Octal	0o422776170
Hexadecimal	0x44BFC78

Divisor Catalog (16)

1 2 4 8 277 554 1,108 2,216 32,531 65,062 130,124 260,248 9,011,087 18,022,174 36,044,348 72,088,696

Collatz Trajectory (321 steps to reach 1)

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

72,088,696 36,044,348 18,022,174 9,011,087 27,033,262 13,516,631 40,549,894 20,274,947 60,824,842 30,412,421 91,237,264 45,618,632 22,809,316 11,404,658 5,702,329 17,106,988 8,553,494 4,276,747 12,830,242 6,415,121 19,245,364 9,622,682 4,811,341 14,434,024 7,217,012 3,608,506 1,804,253 5,412,760 2,706,380 1,353,190 676,595 2,029,786 1,014,893 3,044,680 1,522,340 761,170 380,585 1,141,756 570,878 285,439 856,318 428,159 1,284,478 642,239 1,926,718 963,359 2,890,078 1,445,039 4,335,118 2,167,559 6,502,678 3,251,339 9,754,018 4,877,009 14,631,028 7,315,514 3,657,757 10,973,272 5,486,636 2,743,318

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