747,649

7 × 29² × 127

747,649 factors as 7 × 29^2 × 127. Its 12 positive divisors give a proper-divisor sum of 144,255, so this integer is deficient. The Collatz stopping time is 224 steps.

Prime Factor Structure

Factorization String 7 × 29^2 × 127

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 891,904

Proper Divisor Sum 144,255

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #747647 ← → #747673

Radix Representation

Decimal	747649
Binary	10110110100010000001 (20 bits)
Octal	0o2664201
Hexadecimal	0xB6881

Divisor Catalog (12)

1 7 29 127 203 841 889 3,683 5,887 25,781 106,807 747,649

Collatz Trajectory (224 steps to reach 1)

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

747,649 2,242,948 1,121,474 560,737 1,682,212 841,106 420,553 1,261,660 630,830 315,415 946,246 473,123 1,419,370 709,685 2,129,056 1,064,528 532,264 266,132 133,066 66,533 199,600 99,800 49,900 24,950 12,475 37,426 18,713 56,140 28,070 14,035 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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