731,340

2² × 3² × 5 × 17 × 239

For 731,340, the 72 positive divisors have a total of 2,358,720. Removing 731,340 leaves 1,627,380, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 17 × 239

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 2,358,720

Proper Divisor Sum 1,627,380

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #731333 ← → #731359

Radix Representation

Decimal	731340
Binary	10110010100011001100 (20 bits)
Octal	0o2624314
Hexadecimal	0xB28CC

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 239 255 306 340 478 510 612 717 765 956 1,020 1,195 1,434 1,530 2,151 2,390 2,868 3,060 3,585 4,063 4,302 4,780 7,170 8,126 8,604 10,755 12,189 14,340 16,252 20,315 21,510 24,378 36,567

Collatz Trajectory (61 steps to reach 1)

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

731,340 365,670 182,835 548,506 274,253 822,760 411,380 205,690 102,845 308,536 154,268 77,134 38,567 115,702 57,851 173,554 86,777 260,332 130,166 65,083 195,250 97,625 292,876 146,438 73,219 219,658 109,829 329,488 164,744 82,372 41,186 20,593 61,780 30,890 15,445 46,336 23,168 11,584 5,792 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4

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