731,479

7 × 83 × 1259

731,479 factors as 7 × 83 × 1259. Its 8 positive divisors give a proper-divisor sum of 115,241, so this integer is deficient. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 7 × 83 × 1259

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 846,720

Proper Divisor Sum 115,241

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #731447 ← → #731483

Radix Representation

Decimal	731479
Binary	10110010100101010111 (20 bits)
Octal	0o2624527
Hexadecimal	0xB2957

Divisor Catalog (8)

1 7 83 581 1,259 8,813 104,497 731,479

Collatz Trajectory (180 steps to reach 1)

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

731,479 2,194,438 1,097,219 3,291,658 1,645,829 4,937,488 2,468,744 1,234,372 617,186 308,593 925,780 462,890 231,445 694,336 347,168 173,584 86,792 43,396 21,698 10,849 32,548 16,274 8,137 24,412 12,206 6,103 18,310 9,155 27,466 13,733 41,200 20,600 10,300 5,150 2,575 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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