731,436

2² × 3 × 60953

731,436 factors as 2^2 × 3 × 60953. Its 12 positive divisors give a proper-divisor sum of 975,276, so this integer is abundant. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 60953

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,706,712

Proper Divisor Sum 975,276

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #731413 ← → #731447

Radix Representation

Decimal	731436
Binary	10110010100100101100 (20 bits)
Octal	0o2624454
Hexadecimal	0xB292C

Divisor Catalog (12)

1 2 3 4 6 12 60,953 121,906 182,859 243,812 365,718 731,436

Collatz Trajectory (180 steps to reach 1)

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

731,436 365,718 182,859 548,578 274,289 822,868 411,434 205,717 617,152 308,576 154,288 77,144 38,572 19,286 9,643 28,930 14,465 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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