λ
Prime Ledger

113,840

24 × 5 × 1423
Abundant Even Composite

113,840 has the prime decomposition 2^4 × 5 × 1423. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 5 × 1423
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 264,864
Proper Divisor Sum 151,024
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #113837 ← → #113843

Radix Representation

Decimal 113840
Binary 11011110010110000 (17 bits)
Octal 0o336260
Hexadecimal 0x1BCB0

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 1,423 2,846 5,692 7,115 11,384 14,230 22,768 28,460 56,920 113,840

Collatz Trajectory (61 steps to reach 1)

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

113,840 56,920 28,460 14,230 7,115 21,346 10,673 32,020 16,010 8,005 24,016 12,008 6,004 3,002 1,501 4,504 2,252 1,126 563 1,690 845 2,536 1,268 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4

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