432,552

2³ × 3 × 67 × 269

Starting at 432,552, the Collatz iteration reaches 1 after 42 steps. The first transition is 216276; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 67 × 269

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,101,600

Proper Divisor Sum 669,048

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #432539 ← → #432557

Radix Representation

Decimal	432552
Binary	1101001100110101000 (19 bits)
Octal	0o1514650
Hexadecimal	0x699A8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 67 134 201 268 269 402 536 538 804 807 1,076 1,608 1,614 2,152 3,228 6,456 18,023 36,046 54,069 72,092 108,138 144,184 216,276 432,552

Collatz Trajectory (42 steps to reach 1)

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

432,552 216,276 108,138 54,069 162,208 81,104 40,552 20,276 10,138 5,069 15,208 7,604 3,802 1,901 5,704 2,852 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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