635,427

3² × 13 × 5431

635,427 factors as 3^2 × 13 × 5431. Its 12 positive divisors give a proper-divisor sum of 353,197, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 3^2 × 13 × 5431

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 988,624

Proper Divisor Sum 353,197

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #635423 ← → #635431

Radix Representation

Decimal	635427
Binary	10011011001000100011 (20 bits)
Octal	0o2331043
Hexadecimal	0x9B223

Divisor Catalog (12)

1 3 9 13 39 117 5,431 16,293 48,879 70,603 211,809 635,427

Collatz Trajectory (172 steps to reach 1)

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

635,427 1,906,282 953,141 2,859,424 1,429,712 714,856 357,428 178,714 89,357 268,072 134,036 67,018 33,509 100,528 50,264 25,132 12,566 6,283 18,850 9,425 28,276 14,138 7,069 21,208 10,604 5,302 2,651 7,954 3,977 11,932 5,966 2,983 8,950 4,475 13,426 6,713 20,140 10,070 5,035 15,106 7,553 22,660 11,330 5,665 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036

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