432,601

13 × 107 × 311

For 432,601, the 8 positive divisors have a total of 471,744. Removing 432,601 leaves 39,143, which gives the deficient classification.

Prime Factor Structure

Factorization String 13 × 107 × 311

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 471,744

Proper Divisor Sum 39,143

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #432589 ← → #432613

Radix Representation

Decimal	432601
Binary	1101001100111011001 (19 bits)
Octal	0o1514731
Hexadecimal	0x699D9

Divisor Catalog (8)

1 13 107 311 1,391 4,043 33,277 432,601

Collatz Trajectory (68 steps to reach 1)

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

432,601 1,297,804 648,902 324,451 973,354 486,677 1,460,032 730,016 365,008 182,504 91,252 45,626 22,813 68,440 34,220 17,110 8,555 25,666 12,833 38,500 19,250 9,625 28,876 14,438 7,219 21,658 10,829 32,488 16,244 8,122 4,061 12,184 6,092 3,046 1,523 4,570 2,285 6,856 3,428 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13

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