731,626

2 × 7 × 52259

For 731,626, the 8 positive divisors have a total of 1,254,240. Removing 731,626 leaves 522,614, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 7 × 52259

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,254,240

Proper Divisor Sum 522,614

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #731623 ← → #731639

Radix Representation

Decimal	731626
Binary	10110010100111101010 (20 bits)
Octal	0o2624752
Hexadecimal	0xB29EA

Divisor Catalog (8)

1 2 7 14 52,259 104,518 365,813 731,626

Collatz Trajectory (180 steps to reach 1)

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

731,626 365,813 1,097,440 548,720 274,360 137,180 68,590 34,295 102,886 51,443 154,330 77,165 231,496 115,748 57,874 28,937 86,812 43,406 21,703 65,110 32,555 97,666 48,833 146,500 73,250 36,625 109,876 54,938 27,469 82,408 41,204 20,602 10,301 30,904 15,452 7,726 3,863 11,590 5,795 17,386 8,693 26,080 13,040 6,520 3,260 1,630 815 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648

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