λ
Integer Codex

723,636

22 × 32 × 20101
Abundant Even Composite

For 723,636, the 18 positive divisors have a total of 1,829,282. Removing 723,636 leaves 1,105,646, which gives the abundant classification.

Resources

JSON

Prime Factor Structure

Factorization String 2^2 × 3^2 × 20101
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 1,829,282
Proper Divisor Sum 1,105,646
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #723623 ← → #723661

Radix Representation

Decimal 723636
Binary 10110000101010110100 (20 bits)
Octal 0o2605264
Hexadecimal 0xB0AB4

Divisor Catalog (5 of 18)

1 2 3 4 6

Collatz Trajectory (92 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.

723,636 361,818 180,909 542,728 271,364

More profiles

← Previous Integer #723,635 Browse Full Index Next Integer #723,637 →