λ
Integer Codex

339,599

13 × 151 × 173
Deficient Odd Composite

For 339,599, the 8 positive divisors have a total of 370,272. Removing 339,599 leaves 30,673, which gives the deficient classification.

Prime Factor Structure

Factorization String 13 × 151 × 173
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 370,272
Proper Divisor Sum 30,673
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #339589 ← → #339601

Radix Representation

Decimal 339599
Binary 1010010111010001111 (19 bits)
Octal 0o1227217
Hexadecimal 0x52E8F

Divisor Catalog (8)

1 13 151 173 1,963 2,249 26,123 339,599

Collatz Trajectory (109 steps to reach 1)

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

339,599 1,018,798 509,399 1,528,198 764,099 2,292,298 1,146,149 3,438,448 1,719,224 859,612 429,806 214,903 644,710 322,355 967,066 483,533 1,450,600 725,300 362,650 181,325 543,976 271,988 135,994 67,997 203,992 101,996 50,998 25,499 76,498 38,249 114,748 57,374 28,687 86,062 43,031 129,094 64,547 193,642 96,821 290,464 145,232 72,616 36,308 18,154 9,077 27,232 13,616 6,808 3,404 1,702 851 2,554 1,277 3,832 1,916 958 479 1,438 719 2,158

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