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Math Directory

8,472,990

2 × 3 × 5 × 59 × 4787
Abundant Even Composite

8,472,990 factors as 2 × 3 × 5 × 59 × 4787. Its 32 positive divisors give a proper-divisor sum of 12,211,170, so this integer is abundant. The Collatz stopping time is 106 steps.

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Prime Factor Structure

Factorization String 2 × 3 × 5 × 59 × 4787
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,684,160
Proper Divisor Sum 12,211,170
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8472983 ← → #8473001

Radix Representation

Decimal 8472990
Binary 100000010100100110011110 (24 bits)
Octal 0o40244636
Hexadecimal 0x81499E

Divisor Catalog (5 of 32)

1 2 3 5 6

Collatz Trajectory (106 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.

8,472,990 4,236,495 12,709,486 6,354,743 19,064,230

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