747,669

3 × 13 × 19 × 1009

747,669 factors as 3 × 13 × 19 × 1009. Its 16 positive divisors give a proper-divisor sum of 383,531, so this integer is deficient. The Collatz stopping time is 224 steps.

Prime Factor Structure

Factorization String 3 × 13 × 19 × 1009

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,131,200

Proper Divisor Sum 383,531

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #747647 ← → #747673

Radix Representation

Decimal	747669
Binary	10110110100010010101 (20 bits)
Octal	0o2664225
Hexadecimal	0xB6895

Divisor Catalog (16)

1 3 13 19 39 57 247 741 1,009 3,027 13,117 19,171 39,351 57,513 249,223 747,669

Collatz Trajectory (224 steps to reach 1)

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

747,669 2,243,008 1,121,504 560,752 280,376 140,188 70,094 35,047 105,142 52,571 157,714 78,857 236,572 118,286 59,143 177,430 88,715 266,146 133,073 399,220 199,610 99,805 299,416 149,708 74,854 37,427 112,282 56,141 168,424 84,212 42,106 21,053 63,160 31,580 15,790 7,895 23,686 11,843 35,530 17,765 53,296 26,648 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750

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