λ
Math Directory

8,244,428

22 × 101 × 20407
Deficient Even Composite

8,244,428 factors as 2^2 × 101 × 20407. Its 12 positive divisors give a proper-divisor sum of 6,326,884, so this integer is deficient. The Collatz stopping time is 93 steps.

Resources

JSON

Prime Factor Structure

Factorization String 2^2 × 101 × 20407
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 14,571,312
Proper Divisor Sum 6,326,884
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8244409 ← → #8244463

Radix Representation

Decimal 8244428
Binary 11111011100110011001100 (23 bits)
Octal 0o37346314
Hexadecimal 0x7DCCCC

Divisor Catalog (5 of 12)

1 2 4 101 202

Collatz Trajectory (93 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.

8,244,428 4,122,214 2,061,107 6,183,322 3,091,661

More profiles

← Previous Integer #8,244,427 Browse Full Index Next Integer #8,244,429 →