731,682

2 × 3² × 7 × 5807

For 731,682, the 24 positive divisors have a total of 1,812,096. Removing 731,682 leaves 1,080,414, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 5807

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,812,096

Proper Divisor Sum 1,080,414

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #731681 ← → #731683

Radix Representation

Decimal	731682
Binary	10110010101000100010 (20 bits)
Octal	0o2625042
Hexadecimal	0xB2A22

Divisor Catalog (24)

1 2 3 6 7 9 14 18 21 42 63 126 5,807 11,614 17,421 34,842 40,649 52,263 81,298 104,526 121,947 243,894 365,841 731,682

Collatz Trajectory (136 steps to reach 1)

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

731,682 365,841 1,097,524 548,762 274,381 823,144 411,572 205,786 102,893 308,680 154,340 77,170 38,585 115,756 57,878 28,939 86,818 43,409 130,228 65,114 32,557 97,672 48,836 24,418 12,209 36,628 18,314 9,157 27,472 13,736 6,868 3,434 1,717 5,152 2,576 1,288 644 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790

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