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Math Directory

7,876,372

22 × 7 × 17 × 16547
Abundant Even Composite

7,876,372 factors as 2^2 × 7 × 17 × 16547. Its 24 positive divisors give a proper-divisor sum of 8,804,012, so this integer is abundant. The Collatz stopping time is 155 steps.

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Prime Factor Structure

Factorization String 2^2 × 7 × 17 × 16547
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,680,384
Proper Divisor Sum 8,804,012
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7876369 ← → #7876397

Radix Representation

Decimal 7876372
Binary 11110000010111100010100 (23 bits)
Octal 0o36027424
Hexadecimal 0x782F14

Divisor Catalog (5 of 24)

1 2 4 7 14

Collatz Trajectory (155 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.

7,876,372 3,938,186 1,969,093 5,907,280 2,953,640

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