λ
Harmonic Matrix

75,412

22 × 17 × 1109
Deficient Even Composite

75,412 has digital root 1. The neighboring primes are 75407 and 75431; its proper-divisor sum differs from the starting integer by -10,964.

Prime Factor Structure

Factorization String 2^2 × 17 × 1109
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 139,860
Proper Divisor Sum 64,448
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #75407 ← → #75431

Radix Representation

Decimal 75412
Binary 10010011010010100 (17 bits)
Octal 0o223224
Hexadecimal 0x12694

Divisor Catalog (12)

Collatz Trajectory (156 steps to reach 1)

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

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