λ
Integer Codex

682,399

29 × 23531
Deficient Odd Composite

For 682,399, the 4 positive divisors have a total of 705,960. Removing 682,399 leaves 23,561, which gives the deficient classification.

Prime Factor Structure

Factorization String 29 × 23531
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 705,960
Proper Divisor Sum 23,561
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #682373 ← → #682411

Radix Representation

Decimal 682399
Binary 10100110100110011111 (20 bits)
Octal 0o2464637
Hexadecimal 0xA699F

Divisor Catalog (4)

1 29 23,531 682,399

Collatz Trajectory (198 steps to reach 1)

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

682,399 2,047,198 1,023,599 3,070,798 1,535,399 4,606,198 2,303,099 6,909,298 3,454,649 10,363,948 5,181,974 2,590,987 7,772,962 3,886,481 11,659,444 5,829,722 2,914,861 8,744,584 4,372,292 2,186,146 1,093,073 3,279,220 1,639,610 819,805 2,459,416 1,229,708 614,854 307,427 922,282 461,141 1,383,424 691,712 345,856 172,928 86,464 43,232 21,616 10,808 5,404 2,702 1,351 4,054 2,027 6,082 3,041 9,124 4,562 2,281 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333

More profiles

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