728,872

2³ × 31 × 2939

728,872 factors as 2^3 × 31 × 2939. Its 16 positive divisors give a proper-divisor sum of 682,328, so this integer is deficient. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2^3 × 31 × 2939

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,411,200

Proper Divisor Sum 682,328

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #728869 ← → #728873

Radix Representation

Decimal	728872
Binary	10110001111100101000 (20 bits)
Octal	0o2617450
Hexadecimal	0xB1F28

Divisor Catalog (16)

1 2 4 8 31 62 124 248 2,939 5,878 11,756 23,512 91,109 182,218 364,436 728,872

Collatz Trajectory (87 steps to reach 1)

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

728,872 364,436 182,218 91,109 273,328 136,664 68,332 34,166 17,083 51,250 25,625 76,876 38,438 19,219 57,658 28,829 86,488 43,244 21,622 10,811 32,434 16,217 48,652 24,326 12,163 36,490 18,245 54,736 27,368 13,684 6,842 3,421 10,264 5,132 2,566 1,283 3,850 1,925 5,776 2,888 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130

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