λ
Math Directory

9,772,663

47 × 337 × 617
Deficient Odd Composite

9,772,663 factors as 47 × 337 × 617. Its 8 positive divisors give a proper-divisor sum of 253,769, so this integer is deficient. The Collatz stopping time is 176 steps.

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Prime Factor Structure

Factorization String 47 × 337 × 617
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,026,432
Proper Divisor Sum 253,769
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9772661 ← → #9772667

Radix Representation

Decimal 9772663
Binary 100101010001111001110111 (24 bits)
Octal 0o45217167
Hexadecimal 0x951E77

Divisor Catalog (5 of 8)

1 47 337 617 15,839

Collatz Trajectory (176 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.

9,772,663 29,317,990 14,658,995 43,976,986 21,988,493

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