λ
Harmonic Matrix

432,242

2 × 17 × 12713
Deficient Even Composite

432,242 has digital root 8. The neighboring primes are 432241 and 432251; its proper-divisor sum differs from the starting integer by -177,928.

Prime Factor Structure

Factorization String 2 × 17 × 12713
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 686,556
Proper Divisor Sum 254,314
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #432241 ← → #432251

Radix Representation

Decimal 432242
Binary 1101001100001110010 (19 bits)
Octal 0o1514162
Hexadecimal 0x69872

Divisor Catalog (8)

1 2 17 34 12,713 25,426 216,121 432,242

Collatz Trajectory (143 steps to reach 1)

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

432,242 216,121 648,364 324,182 162,091 486,274 243,137 729,412 364,706 182,353 547,060 273,530 136,765 410,296 205,148 102,574 51,287 153,862 76,931 230,794 115,397 346,192 173,096 86,548 43,274 21,637 64,912 32,456 16,228 8,114 4,057 12,172 6,086 3,043 9,130 4,565 13,696 6,848 3,424 1,712 856 428 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466

More profiles

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