λ
Harmonic Matrix

432,485

5 × 67 × 1291
Deficient Odd Composite

432,485 has digital root 8. The neighboring primes are 432479 and 432491; its proper-divisor sum differs from the starting integer by -337,834.

Prime Factor Structure

Factorization String 5 × 67 × 1291
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 527,136
Proper Divisor Sum 94,651
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #432479 ← → #432491

Radix Representation

Decimal 432485
Binary 1101001100101100101 (19 bits)
Octal 0o1514545
Hexadecimal 0x69965

Divisor Catalog (8)

1 5 67 335 1,291 6,455 86,497 432,485

Collatz Trajectory (68 steps to reach 1)

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

432,485 1,297,456 648,728 324,364 162,182 81,091 243,274 121,637 364,912 182,456 91,228 45,614 22,807 68,422 34,211 102,634 51,317 153,952 76,976 38,488 19,244 9,622 4,811 14,434 7,217 21,652 10,826 5,413 16,240 8,120 4,060 2,030 1,015 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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