λ
Harmonic Matrix

3,157,686

2 × 32 × 7 × 19 × 1319
Abundant Even Composite

3,157,686 has digital root 9. The neighboring primes are 3157669 and 3157703; its proper-divisor sum differs from the starting integer by 1,921,428.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 19 × 1319
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,236,800
Proper Divisor Sum 5,079,114
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3157669 ← → #3157703

Radix Representation

Decimal 3157686
Binary 1100000010111010110110 (22 bits)
Octal 0o14027266
Hexadecimal 0x302EB6

Divisor Catalog (48)

Collatz Trajectory (239 steps to reach 1)

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

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