λ
Harmonic Matrix

9,429,648

24 × 3 × 151 × 1301
Abundant Even Composite

9,429,648 has digital root 6. The neighboring primes are 9429617 and 9429653; its proper-divisor sum differs from the starting integer by 5,680,800.

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 2^4 × 3 × 151 × 1301
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 24,540,096
Proper Divisor Sum 15,110,448
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9429617 ← → #9429653

Radix Representation

Decimal 9429648
Binary 100011111110001010010000 (24 bits)
Octal 0o43761220
Hexadecimal 0x8FE290

Divisor Catalog (5 of 40)

1 2 3 4 6

Collatz Trajectory (132 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 #9,429,647 Browse Full Index Next Integer #9,429,649 →