λ
Match Zalai

7,732,329

3 × 11 × 53 × 4421
Deficient Odd Composite

7,732,329 factors as 3 × 11 × 53 × 4421. Its 16 positive divisors give a proper-divisor sum of 3,729,495, so this integer is deficient. The Collatz stopping time is 217 steps.

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Prime Factor Structure

Factorization String 3 × 11 × 53 × 4421
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,461,824
Proper Divisor Sum 3,729,495
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7732327 ← → #7732337

Radix Representation

Decimal 7732329
Binary 11101011111110001101001 (23 bits)
Octal 0o35376151
Hexadecimal 0x75FC69

Divisor Catalog (5 of 16)

1 3 11 33 53

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.

7,732,329 23,196,988 11,598,494 5,799,247 17,397,742

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