λ
Integer Codex

782,653

79 × 9907
Deficient Odd Composite

For 782,653, the 4 positive divisors have a total of 792,640. Removing 782,653 leaves 9,987, which gives the deficient classification.

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Prime Factor Structure

Factorization String 79 × 9907
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 792,640
Proper Divisor Sum 9,987
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #782641 ← → #782659

Radix Representation

Decimal 782653
Binary 10111111000100111101 (20 bits)
Octal 0o2770475
Hexadecimal 0xBF13D

Divisor Catalog (4)

1 79 9,907 782,653

Collatz Trajectory (162 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

782,653 2,347,960 1,173,980 586,990 293,495

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