λ
Match Zalai

8,499,420

22 × 32 × 5 × 23 × 2053
Abundant Even Composite

8,499,420 factors as 2^2 × 3^2 × 5 × 23 × 2053. Its 72 positive divisors give a proper-divisor sum of 18,416,196, so this integer is abundant. The Collatz stopping time is 243 steps.

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Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 23 × 2053
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 26,915,616
Proper Divisor Sum 18,416,196
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8499409 ← → #8499461

Radix Representation

Decimal 8499420
Binary 100000011011000011011100 (24 bits)
Octal 0o40330334
Hexadecimal 0x81B0DC

Divisor Catalog (5 of 72)

1 2 3 4 5

Collatz Trajectory (243 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.

8,499,420 4,249,710 2,124,855 6,374,566 3,187,283

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