λ
Prime Ledger

432,340

22 × 5 × 21617
Abundant Even Composite

432,340 has the prime decomposition 2^2 × 5 × 21617. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 21617
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 907,956
Proper Divisor Sum 475,616
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #432337 ← → #432343

Radix Representation

Decimal 432340
Binary 1101001100011010100 (19 bits)
Octal 0o1514324
Hexadecimal 0x698D4

Divisor Catalog (12)

1 2 4 5 10 20 21,617 43,234 86,468 108,085 216,170 432,340

Collatz Trajectory (42 steps to reach 1)

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

432,340 216,170 108,085 324,256 162,128 81,064 40,532 20,266 10,133 30,400 15,200 7,600 3,800 1,900 950 475 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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