λ
Sigma Notebook

99,456

27 × 3 × 7 × 37
Abundant Even Composite

99,456 is even and not a perfect square. Its factorization is 2^7 × 3 × 7 × 37 and its 64 divisors sum to 310,080.

Resources

JSON

Prime Factor Structure

Factorization String 2^7 × 3 × 7 × 37
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 310,080
Proper Divisor Sum 210,624
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #99439 ← → #99469

Radix Representation

Decimal 99456
Binary 11000010010000000 (17 bits)
Octal 0o302200
Hexadecimal 0x18480

Divisor Catalog (5 of 64)

1 2 3 4 6

Collatz Trajectory (40 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.

99,456 49,728 24,864 12,432 6,216

More profiles

← Previous Integer #99,455 Browse Full Index Next Integer #99,457 →