λ
Harmonic Matrix

111,016

23 × 13877
Deficient Even Composite

111,016 has digital root 1. The neighboring primes are 110989 and 111029; its proper-divisor sum differs from the starting integer by -13,862.

Prime Factor Structure

Factorization String 2^3 × 13877
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 208,170
Proper Divisor Sum 97,154
Digit Sum / Digital Root 10 (Root: 1)
Adjacent Primes #110989 ← → #111029

Radix Representation

Decimal 111016
Binary 11011000110101000 (17 bits)
Octal 0o330650
Hexadecimal 0x1B1A8

Divisor Catalog (8)

Collatz Trajectory (35 steps to reach 1)

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

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