λ
Prime Ledger

864,607

137 × 6311
Deficient Odd Composite

864,607 has the prime decomposition 137 × 6311. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 137 × 6311
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 871,056
Proper Divisor Sum 6,449
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #864587 ← → #864613

Radix Representation

Decimal 864607
Binary 11010011000101011111 (20 bits)
Octal 0o3230537
Hexadecimal 0xD315F

Divisor Catalog (4)

1 137 6,311 864,607

Collatz Trajectory (188 steps to reach 1)

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

864,607 2,593,822 1,296,911 3,890,734 1,945,367 5,836,102 2,918,051 8,754,154 4,377,077 13,131,232 6,565,616 3,282,808 1,641,404 820,702 410,351 1,231,054 615,527 1,846,582 923,291 2,769,874 1,384,937 4,154,812 2,077,406 1,038,703 3,116,110 1,558,055 4,674,166 2,337,083 7,011,250 3,505,625 10,516,876 5,258,438 2,629,219 7,887,658 3,943,829 11,831,488 5,915,744 2,957,872 1,478,936 739,468 369,734 184,867 554,602 277,301 831,904 415,952 207,976 103,988 51,994 25,997 77,992 38,996 19,498 9,749 29,248 14,624 7,312 3,656 1,828 914

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