λ
Harmonic Matrix

7,567,930

2 × 5 × 59 × 101 × 127
Deficient Even Composite

7,567,930 has digital root 1. The neighboring primes are 7567919 and 7567933; its proper-divisor sum differs from the starting integer by -1,035,380.

Prime Factor Structure

Factorization String 2 × 5 × 59 × 101 × 127
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,100,480
Proper Divisor Sum 6,532,550
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7567919 ← → #7567933

Radix Representation

Decimal 7567930
Binary 11100110111101000111010 (23 bits)
Octal 0o34675072
Hexadecimal 0x737A3A

Divisor Catalog (32)

Collatz Trajectory (173 steps to reach 1)

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

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