λ
Harmonic Matrix

415,626

2 × 3 × 53 × 1307
Abundant Even Composite

415,626 has digital root 6. The neighboring primes are 415609 and 415627; its proper-divisor sum differs from the starting integer by 16,332.

Link collection

External pages selected by the site administrator. These links are separate from the mathematical calculations below.

Download link list (JSON)

Prime Factor Structure

Factorization String 2 × 3 × 53 × 1307
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 847,584
Proper Divisor Sum 431,958
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #415609 ← → #415627

Radix Representation

Decimal 415626
Binary 1100101011110001010 (19 bits)
Octal 0o1453612
Hexadecimal 0x6578A

Divisor Catalog (5 of 16)

1 2 3 6 53

Collatz Trajectory (143 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

More profiles

Browse other published profiles and their separate link collections.

← Previous Integer #415,625 Browse Full Index Next Integer #415,627 →