746,629

13 × 79 × 727

746,629 factors as 13 × 79 × 727. Its 8 positive divisors give a proper-divisor sum of 68,731, so this integer is deficient. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 13 × 79 × 727

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 815,360

Proper Divisor Sum 68,731

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #746597 ← → #746653

Radix Representation

Decimal	746629
Binary	10110110010010000101 (20 bits)
Octal	0o2662205
Hexadecimal	0xB6485

Divisor Catalog (8)

1 13 79 727 1,027 9,451 57,433 746,629

Collatz Trajectory (87 steps to reach 1)

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

746,629 2,239,888 1,119,944 559,972 279,986 139,993 419,980 209,990 104,995 314,986 157,493 472,480 236,240 118,120 59,060 29,530 14,765 44,296 22,148 11,074 5,537 16,612 8,306 4,153 12,460 6,230 3,115 9,346 4,673 14,020 7,010 3,505 10,516 5,258 2,629 7,888 3,944 1,972 986 493 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134

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