λ
Sigma Notebook

432,252

22 × 32 × 12007
Abundant Even Composite

432,252 is even and not a perfect square. Its factorization is 2^2 × 3^2 × 12007 and its 18 divisors sum to 1,092,728.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 12007
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 1,092,728
Proper Divisor Sum 660,476
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #432251 ← → #432277

Radix Representation

Decimal 432252
Binary 1101001100001111100 (19 bits)
Octal 0o1514174
Hexadecimal 0x6987C

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 12,007 24,014 36,021 48,028 72,042 108,063 144,084 216,126 432,252

Collatz Trajectory (143 steps to reach 1)

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

432,252 216,126 108,063 324,190 162,095 486,286 243,143 729,430 364,715 1,094,146 547,073 1,641,220 820,610 410,305 1,230,916 615,458 307,729 923,188 461,594 230,797 692,392 346,196 173,098 86,549 259,648 129,824 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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