λ
Ratio Atlas

7,748,973

33 × 286999
Deficient Odd Composite

7,748,973 factors as 3^3 × 286999. Its 8 positive divisors give a proper-divisor sum of 3,731,027, so this integer is deficient. The Collatz stopping time is 217 steps.

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Prime Factor Structure

Factorization String 3^3 × 286999
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,480,000
Proper Divisor Sum 3,731,027
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #7748969 ← → #7748981

Radix Representation

Decimal 7748973
Binary 11101100011110101101101 (23 bits)
Octal 0o35436555
Hexadecimal 0x763D6D

Divisor Catalog (5 of 8)

1 3 9 27 286,999

Collatz Trajectory (217 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.

7,748,973 23,246,920 11,623,460 5,811,730 2,905,865

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