746,902

2 × 13 × 23 × 1249

746,902 factors as 2 × 13 × 23 × 1249. Its 16 positive divisors give a proper-divisor sum of 513,098, so this integer is deficient. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2 × 13 × 23 × 1249

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,260,000

Proper Divisor Sum 513,098

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #746899 ← → #746903

Radix Representation

Decimal	746902
Binary	10110110010110010110 (20 bits)
Octal	0o2662626
Hexadecimal	0xB6596

Divisor Catalog (16)

1 2 13 23 26 46 299 598 1,249 2,498 16,237 28,727 32,474 57,454 373,451 746,902

Collatz Trajectory (87 steps to reach 1)

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

746,902 373,451 1,120,354 560,177 1,680,532 840,266 420,133 1,260,400 630,200 315,100 157,550 78,775 236,326 118,163 354,490 177,245 531,736 265,868 132,934 66,467 199,402 99,701 299,104 149,552 74,776 37,388 18,694 9,347 28,042 14,021 42,064 21,032 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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