737,425

5² × 13 × 2269

737,425 factors as 5^2 × 13 × 2269. Its 12 positive divisors give a proper-divisor sum of 247,755, so this integer is deficient. The Collatz stopping time is 242 steps.

Prime Factor Structure

Factorization String 5^2 × 13 × 2269

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 985,180

Proper Divisor Sum 247,755

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #737423 ← → #737431

Radix Representation

Decimal	737425
Binary	10110100000010010001 (20 bits)
Octal	0o2640221
Hexadecimal	0xB4091

Divisor Catalog (12)

1 5 13 25 65 325 2,269 11,345 29,497 56,725 147,485 737,425

Collatz Trajectory (242 steps to reach 1)

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

737,425 2,212,276 1,106,138 553,069 1,659,208 829,604 414,802 207,401 622,204 311,102 155,551 466,654 233,327 699,982 349,991 1,049,974 524,987 1,574,962 787,481 2,362,444 1,181,222 590,611 1,771,834 885,917 2,657,752 1,328,876 664,438 332,219 996,658 498,329 1,494,988 747,494 373,747 1,121,242 560,621 1,681,864 840,932 420,466 210,233 630,700 315,350 157,675 473,026 236,513 709,540 354,770 177,385 532,156 266,078 133,039 399,118 199,559 598,678 299,339 898,018 449,009 1,347,028 673,514 336,757 1,010,272

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