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733,716

22 × 32 × 89 × 229
Abundant Even Composite

733,716 factors as 2^2 × 3^2 × 89 × 229. Its 36 positive divisors give a proper-divisor sum of 1,149,984, so this integer is abundant. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 89 × 229
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 1,883,700
Proper Divisor Sum 1,149,984
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #733697 ← → #733741

Radix Representation

Decimal 733716
Binary 10110011001000010100 (20 bits)
Octal 0o2631024
Hexadecimal 0xB3214

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 89 178 229 267 356 458 534 687 801 916 1,068 1,374 1,602 2,061 2,748 3,204 4,122 8,244 20,381 40,762 61,143 81,524 122,286 183,429 244,572 366,858 733,716

Collatz Trajectory (74 steps to reach 1)

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

733,716 366,858 183,429 550,288 275,144 137,572 68,786 34,393 103,180 51,590 25,795 77,386 38,693 116,080 58,040 29,020 14,510 7,255 21,766 10,883 32,650 16,325 48,976 24,488 12,244 6,122 3,061 9,184 4,592 2,296 1,148 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22

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