λ
Integer Codex

565,304

23 × 70663
Deficient Even Composite

For 565,304, the 8 positive divisors have a total of 1,059,960. Removing 565,304 leaves 494,656, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^3 × 70663
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,059,960
Proper Divisor Sum 494,656
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #565303 ← → #565319

Radix Representation

Decimal 565304
Binary 10001010000000111000 (20 bits)
Octal 0o2120070
Hexadecimal 0x8A038

Divisor Catalog (8)

1 2 4 8 70,663 141,326 282,652 565,304

Collatz Trajectory (58 steps to reach 1)

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

565,304 282,652 141,326 70,663 211,990 105,995 317,986 158,993 476,980 238,490 119,245 357,736 178,868 89,434 44,717 134,152 67,076 33,538 16,769 50,308 25,154 12,577 37,732 18,866 9,433 28,300 14,150 7,075 21,226 10,613 31,840 15,920 7,960 3,980 1,990 995 2,986 1,493 4,480 2,240 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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