λ
Prime Ledger

32,282

2 × 16141
Deficient Even Composite

32,282 has the prime decomposition 2 × 16141. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 16141
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 48,426
Proper Divisor Sum 16,144
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #32261 ← → #32297

Radix Representation

Decimal 32282
Binary 111111000011010 (15 bits)
Octal 0o77032
Hexadecimal 0x7E1A

Divisor Catalog (4)

1 2 16,141 32,282

Collatz Trajectory (72 steps to reach 1)

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

32,282 16,141 48,424 24,212 12,106 6,053 18,160 9,080 4,540 2,270 1,135 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35

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