λ
Prime Ledger

87,682

2 × 7 × 6263
Deficient Even Composite

87,682 has the prime decomposition 2 × 7 × 6263. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 6263
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 150,336
Proper Divisor Sum 62,654
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #87679 ← → #87683

Radix Representation

Decimal 87682
Binary 10101011010000010 (17 bits)
Octal 0o253202
Hexadecimal 0x15682

Divisor Catalog (8)

1 2 7 14 6,263 12,526 43,841 87,682

Collatz Trajectory (45 steps to reach 1)

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

87,682 43,841 131,524 65,762 32,881 98,644 49,322 24,661 73,984 36,992 18,496 9,248 4,624 2,312 1,156 578 289 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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