λ
Math Directory

7,992,416

25 × 249763
Deficient Even Composite

7,992,416 factors as 2^5 × 249763. Its 12 positive divisors give a proper-divisor sum of 7,742,716, so this integer is deficient. The Collatz stopping time is 155 steps.

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Prime Factor Structure

Factorization String 2^5 × 249763
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 15,735,132
Proper Divisor Sum 7,742,716
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #7992401 ← → #7992419

Radix Representation

Decimal 7992416
Binary 11110011111010001100000 (23 bits)
Octal 0o36372140
Hexadecimal 0x79F460

Divisor Catalog (5 of 12)

1 2 4 8 16

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.

7,992,416 3,996,208 1,998,104 999,052 499,526

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