λ
Prime Ledger

108,390

2 × 3 × 5 × 3613
Abundant Even Composite

108,390 has the prime decomposition 2 × 3 × 5 × 3613. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 3613
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 260,208
Proper Divisor Sum 151,818
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #108379 ← → #108401

Radix Representation

Decimal 108390
Binary 11010011101100110 (17 bits)
Octal 0o323546
Hexadecimal 0x1A766

Divisor Catalog (16)

1 2 3 5 6 10 15 30 3,613 7,226 10,839 18,065 21,678 36,130 54,195 108,390

Collatz Trajectory (48 steps to reach 1)

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

108,390 54,195 162,586 81,293 243,880 121,940 60,970 30,485 91,456 45,728 22,864 11,432 5,716 2,858 1,429 4,288 2,144 1,072 536 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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