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Math Directory

7,448,823

32 × 71 × 11657
Deficient Odd Composite

7,448,823 factors as 3^2 × 71 × 11657. Its 12 positive divisors give a proper-divisor sum of 3,463,065, so this integer is deficient. The Collatz stopping time is 142 steps.

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Prime Factor Structure

Factorization String 3^2 × 71 × 11657
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,911,888
Proper Divisor Sum 3,463,065
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7448821 ← → #7448863

Radix Representation

Decimal 7448823
Binary 11100011010100011110111 (23 bits)
Octal 0o34324367
Hexadecimal 0x71A8F7

Divisor Catalog (5 of 12)

1 3 9 71 213

Collatz Trajectory (142 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.

7,448,823 22,346,470 11,173,235 33,519,706 16,759,853

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