723,982

2 × 7 × 51713

723,982 factors as 2 × 7 × 51713. Its 8 positive divisors give a proper-divisor sum of 517,154, so this integer is deficient. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2 × 7 × 51713

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,241,136

Proper Divisor Sum 517,154

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #723977 ← → #723997

Radix Representation

Decimal	723982
Binary	10110000110000001110 (20 bits)
Octal	0o2606016
Hexadecimal	0xB0C0E

Divisor Catalog (8)

1 2 7 14 51,713 103,426 361,991 723,982

Collatz Trajectory (105 steps to reach 1)

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

723,982 361,991 1,085,974 542,987 1,628,962 814,481 2,443,444 1,221,722 610,861 1,832,584 916,292 458,146 229,073 687,220 343,610 171,805 515,416 257,708 128,854 64,427 193,282 96,641 289,924 144,962 72,481 217,444 108,722 54,361 163,084 81,542 40,771 122,314 61,157 183,472 91,736 45,868 22,934 11,467 34,402 17,201 51,604 25,802 12,901 38,704 19,352 9,676 4,838 2,419 7,258 3,629 10,888 5,444 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766

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