λ
Matchaa Zalai

7,697,613

3 × 7 × 11 × 47 × 709
Deficient Odd Composite

7,697,613 factors as 3 × 7 × 11 × 47 × 709. Its 32 positive divisors give a proper-divisor sum of 5,389,107, so this integer is deficient. The Collatz stopping time is 217 steps.

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Prime Factor Structure

Factorization String 3 × 7 × 11 × 47 × 709
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,086,720
Proper Divisor Sum 5,389,107
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7697611 ← → #7697623

Radix Representation

Decimal 7697613
Binary 11101010111010011001101 (23 bits)
Octal 0o35272315
Hexadecimal 0x7574CD

Divisor Catalog (5 of 32)

1 3 7 11 21

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.

7,697,613 23,092,840 11,546,420 5,773,210 2,886,605

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