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Math Directory

7,874,772

22 × 3 × 107 × 6133
Abundant Even Composite

7,874,772 factors as 2^2 × 3 × 107 × 6133. Its 24 positive divisors give a proper-divisor sum of 10,674,444, so this integer is abundant. The Collatz stopping time is 67 steps.

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Prime Factor Structure

Factorization String 2^2 × 3 × 107 × 6133
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 18,549,216
Proper Divisor Sum 10,674,444
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #7874761 ← → #7874777

Radix Representation

Decimal 7874772
Binary 11110000010100011010100 (23 bits)
Octal 0o36024324
Hexadecimal 0x7828D4

Divisor Catalog (5 of 24)

1 2 3 4 6

Collatz Trajectory (67 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.

7,874,772 3,937,386 1,968,693 5,906,080 2,953,040

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