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Math Directory

7,416,471

3 × 17 × 31 × 4691
Deficient Odd Composite

7,416,471 factors as 3 × 17 × 31 × 4691. Its 16 positive divisors give a proper-divisor sum of 3,393,897, so this integer is deficient. The Collatz stopping time is 116 steps.

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Prime Factor Structure

Factorization String 3 × 17 × 31 × 4691
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,810,368
Proper Divisor Sum 3,393,897
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7416467 ← → #7416473

Radix Representation

Decimal 7416471
Binary 11100010010101010010111 (23 bits)
Octal 0o34225227
Hexadecimal 0x712A97

Divisor Catalog (5 of 16)

1 3 17 31 51

Collatz Trajectory (116 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.

7,416,471 22,249,414 11,124,707 33,374,122 16,687,061

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