749,316

2² × 3 × 41 × 1523

749,316 factors as 2^2 × 3 × 41 × 1523. Its 24 positive divisors give a proper-divisor sum of 1,042,908, so this integer is abundant. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 41 × 1523

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,792,224

Proper Divisor Sum 1,042,908

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #749299 ← → #749323

Radix Representation

Decimal	749316
Binary	10110110111100000100 (20 bits)
Octal	0o2667404
Hexadecimal	0xB6F04

Divisor Catalog (24)

1 2 3 4 6 12 41 82 123 164 246 492 1,523 3,046 4,569 6,092 9,138 18,276 62,443 124,886 187,329 249,772 374,658 749,316

Collatz Trajectory (110 steps to reach 1)

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

749,316 374,658 187,329 561,988 280,994 140,497 421,492 210,746 105,373 316,120 158,060 79,030 39,515 118,546 59,273 177,820 88,910 44,455 133,366 66,683 200,050 100,025 300,076 150,038 75,019 225,058 112,529 337,588 168,794 84,397 253,192 126,596 63,298 31,649 94,948 47,474 23,737 71,212 35,606 17,803 53,410 26,705 80,116 40,058 20,029 60,088 30,044 15,022 7,511 22,534 11,267 33,802 16,901 50,704 25,352 12,676 6,338 3,169 9,508 4,754

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