λ
Harmonic Matrix

4,315,768

23 × 409 × 1319
Deficient Even Composite

4,315,768 has digital root 7. The neighboring primes are 4315763 and 4315769; its proper-divisor sum differs from the starting integer by -513,536.

Resources

JSON

Prime Factor Structure

Factorization String 2^3 × 409 × 1319
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,118,000
Proper Divisor Sum 3,802,232
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4315763 ← → #4315769

Radix Representation

Decimal 4315768
Binary 10000011101101001111000 (23 bits)
Octal 0o20355170
Hexadecimal 0x41DA78

Divisor Catalog (5 of 16)

1 2 4 8 409

Collatz Trajectory (167 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.

4,315,768 2,157,884 1,078,942 539,471 1,618,414

More profiles

← Previous Integer #4,315,767 Browse Full Index Next Integer #4,315,769 →