λ
Harmonic Matrix

3,642,110

2 × 5 × 19 × 29 × 661
Deficient Even Composite

3,642,110 has digital root 8. The neighboring primes are 3642101 and 3642157; its proper-divisor sum differs from the starting integer by -134,620.

Prime Factor Structure

Factorization String 2 × 5 × 19 × 29 × 661
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,149,600
Proper Divisor Sum 3,507,490
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #3642101 ← → #3642157

Radix Representation

Decimal 3642110
Binary 1101111001001011111110 (22 bits)
Octal 0o15711376
Hexadecimal 0x3792FE

Divisor Catalog (32)

Collatz Trajectory (195 steps to reach 1)

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

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