λ
Prime Ledger

7,801,456

24 × 13 × 37507
Abundant Even Composite

7,801,456 has the prime decomposition 2^4 × 13 × 37507. Its 3 distinct prime factors produce 20 positive divisors.

Resources

JSON

Prime Factor Structure

Factorization String 2^4 × 13 × 37507
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 16,278,472
Proper Divisor Sum 8,477,016
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7801427 ← → #7801459

Radix Representation

Decimal 7801456
Binary 11101110000101001110000 (23 bits)
Octal 0o35605160
Hexadecimal 0x770A70

Divisor Catalog (5 of 20)

1 2 4 8 13

Collatz Trajectory (204 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.

7,801,456 3,900,728 1,950,364 975,182 487,591

More profiles

← Previous Integer #7,801,455 Browse Full Index Next Integer #7,801,457 →