λ
Harmonic Matrix

17,120

25 × 5 × 107
Abundant Even Composite

17,120 has digital root 2. The neighboring primes are 17117 and 17123; its proper-divisor sum differs from the starting integer by 6,584.

Prime Factor Structure

Factorization String 2^5 × 5 × 107
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 40,824
Proper Divisor Sum 23,704
Digit Sum / Digital Root 11 (Root: 2)
Adjacent Primes #17117 ← → #17123

Radix Representation

Decimal 17120
Binary 100001011100000 (15 bits)
Octal 0o41340
Hexadecimal 0x42E0

Divisor Catalog (24)

Collatz Trajectory (27 steps to reach 1)

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

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