635,709

3 × 29 × 7307

635,709 factors as 3 × 29 × 7307. Its 8 positive divisors give a proper-divisor sum of 241,251, so this integer is deficient. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 3 × 29 × 7307

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 876,960

Proper Divisor Sum 241,251

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #635707 ← → #635711

Radix Representation

Decimal	635709
Binary	10011011001100111101 (20 bits)
Octal	0o2331475
Hexadecimal	0x9B33D

Divisor Catalog (8)

1 3 29 87 7,307 21,921 211,903 635,709

Collatz Trajectory (128 steps to reach 1)

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

635,709 1,907,128 953,564 476,782 238,391 715,174 357,587 1,072,762 536,381 1,609,144 804,572 402,286 201,143 603,430 301,715 905,146 452,573 1,357,720 678,860 339,430 169,715 509,146 254,573 763,720 381,860 190,930 95,465 286,396 143,198 71,599 214,798 107,399 322,198 161,099 483,298 241,649 724,948 362,474 181,237 543,712 271,856 135,928 67,964 33,982 16,991 50,974 25,487 76,462 38,231 114,694 57,347 172,042 86,021 258,064 129,032 64,516 32,258 16,129 48,388 24,194

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