λ
Harmonic Matrix

31,376

24 × 37 × 53
Abundant Even Composite

31,376 has digital root 2. The neighboring primes are 31357 and 31379; its proper-divisor sum differs from the starting integer by 860.

Prime Factor Structure

Factorization String 2^4 × 37 × 53
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 63,612
Proper Divisor Sum 32,236
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #31357 ← → #31379

Radix Representation

Decimal 31376
Binary 111101010010000 (15 bits)
Octal 0o75220
Hexadecimal 0x7A90

Divisor Catalog (20)

Collatz Trajectory (178 steps to reach 1)

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

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