λ
Sigma Notebook

7,629,207

3 × 107 × 23767
Deficient Odd Composite

7,629,207 is odd and not a perfect square. Its factorization is 3 × 107 × 23767 and its 8 divisors sum to 10,267,776.

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Prime Factor Structure

Factorization String 3 × 107 × 23767
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,267,776
Proper Divisor Sum 2,638,569
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7629199 ← → #7629217

Radix Representation

Decimal 7629207
Binary 11101000110100110010111 (23 bits)
Octal 0o35064627
Hexadecimal 0x746997

Divisor Catalog (5 of 8)

1 3 107 321 23,767

Collatz Trajectory (129 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.

7,629,207 22,887,622 11,443,811 34,331,434 17,165,717

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