747,546

2 × 3 × 23 × 5417

747,546 factors as 2 × 3 × 23 × 5417. Its 16 positive divisors give a proper-divisor sum of 812,838, so this integer is abundant. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2 × 3 × 23 × 5417

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,560,384

Proper Divisor Sum 812,838

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #747529 ← → #747547

Radix Representation

Decimal	747546
Binary	10110110100000011010 (20 bits)
Octal	0o2664032
Hexadecimal	0xB681A

Divisor Catalog (16)

1 2 3 6 23 46 69 138 5,417 10,834 16,251 32,502 124,591 249,182 373,773 747,546

Collatz Trajectory (110 steps to reach 1)

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

747,546 373,773 1,121,320 560,660 280,330 140,165 420,496 210,248 105,124 52,562 26,281 78,844 39,422 19,711 59,134 29,567 88,702 44,351 133,054 66,527 199,582 99,791 299,374 149,687 449,062 224,531 673,594 336,797 1,010,392 505,196 252,598 126,299 378,898 189,449 568,348 284,174 142,087 426,262 213,131 639,394 319,697 959,092 479,546 239,773 719,320 359,660 179,830 89,915 269,746 134,873 404,620 202,310 101,155 303,466 151,733 455,200 227,600 113,800 56,900 28,450

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