λ
Prime Ledger

628,560

24 × 34 × 5 × 97
Abundant Even Composite

628,560 has the prime decomposition 2^4 × 3^4 × 5 × 97. Its 4 distinct prime factors produce 100 positive divisors.

Resources

JSON

Prime Factor Structure

Factorization String 2^4 × 3^4 × 5 × 97
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 100
Divisor Sum (σ) 2,205,588
Proper Divisor Sum 1,577,028
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #628547 ← → #628561

Radix Representation

Decimal 628560
Binary 10011001011101010000 (20 bits)
Octal 0o2313520
Hexadecimal 0x99750

Divisor Catalog (5 of 100)

1 2 3 4 5

Collatz Trajectory (141 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.

628,560 314,280 157,140 78,570 39,285

More profiles

← Previous Integer #628,559 Browse Full Index Next Integer #628,561 →