λ
Prime Ledger

87,466

2 × 101 × 433
Deficient Even Composite

87,466 has the prime decomposition 2 × 101 × 433. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 101 × 433
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 132,804
Proper Divisor Sum 45,338
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #87443 ← → #87473

Radix Representation

Decimal 87466
Binary 10101010110101010 (17 bits)
Octal 0o252652
Hexadecimal 0x155AA

Divisor Catalog (8)

1 2 101 202 433 866 43,733 87,466

Collatz Trajectory (45 steps to reach 1)

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

87,466 43,733 131,200 65,600 32,800 16,400 8,200 4,100 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 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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