λ
Sigma Notebook

7,730,661

3 × 67 × 38461
Deficient Odd Composite

7,730,661 is odd and not a perfect square. Its factorization is 3 × 67 × 38461 and its 8 divisors sum to 10,461,664.

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Prime Factor Structure

Factorization String 3 × 67 × 38461
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,461,664
Proper Divisor Sum 2,731,003
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7730651 ← → #7730677

Radix Representation

Decimal 7730661
Binary 11101011111010111100101 (23 bits)
Octal 0o35372745
Hexadecimal 0x75F5E5

Divisor Catalog (5 of 8)

1 3 67 201 38,461

Collatz Trajectory (124 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.

7,730,661 23,191,984 11,595,992 5,797,996 2,898,998

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