λ
Harmonic Matrix

113,094

2 × 32 × 61 × 103
Abundant Even Composite

113,094 has digital root 9. The neighboring primes are 113093 and 113111; its proper-divisor sum differs from the starting integer by 25,284.

Prime Factor Structure

Factorization String 2 × 3^2 × 61 × 103
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 251,472
Proper Divisor Sum 138,378
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #113093 ← → #113111

Radix Representation

Decimal 113094
Binary 11011100111000110 (17 bits)
Octal 0o334706
Hexadecimal 0x1B9C6

Divisor Catalog (24)

1 2 3 6 9 18 61 103 122 183 206 309 366 549 618 927 1,098 1,854 6,283 12,566 18,849 37,698 56,547 113,094

Collatz Trajectory (35 steps to reach 1)

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

113,094 56,547 169,642 84,821 254,464 127,232 63,616 31,808 15,904 7,952 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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