λ
Prime Ledger

634,439

13 × 37 × 1319
Deficient Odd Composite

634,439 has the prime decomposition 13 × 37 × 1319. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 37 × 1319
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 702,240
Proper Divisor Sum 67,801
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #634421 ← → #634441

Radix Representation

Decimal 634439
Binary 10011010111001000111 (20 bits)
Octal 0o2327107
Hexadecimal 0x9AE47

Divisor Catalog (8)

1 13 37 481 1,319 17,147 48,803 634,439

Collatz Trajectory (203 steps to reach 1)

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

634,439 1,903,318 951,659 2,854,978 1,427,489 4,282,468 2,141,234 1,070,617 3,211,852 1,605,926 802,963 2,408,890 1,204,445 3,613,336 1,806,668 903,334 451,667 1,355,002 677,501 2,032,504 1,016,252 508,126 254,063 762,190 381,095 1,143,286 571,643 1,714,930 857,465 2,572,396 1,286,198 643,099 1,929,298 964,649 2,893,948 1,446,974 723,487 2,170,462 1,085,231 3,255,694 1,627,847 4,883,542 2,441,771 7,325,314 3,662,657 10,987,972 5,493,986 2,746,993 8,240,980 4,120,490 2,060,245 6,180,736 3,090,368 1,545,184 772,592 386,296 193,148 96,574 48,287 144,862

More profiles

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