λ
Match Zalai

7,037,829

32 × 757 × 1033
Deficient Odd Composite

7,037,829 factors as 3^2 × 757 × 1033. Its 12 positive divisors give a proper-divisor sum of 3,151,207, so this integer is deficient. The Collatz stopping time is 204 steps.

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Prime Factor Structure

Factorization String 3^2 × 757 × 1033
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,189,036
Proper Divisor Sum 3,151,207
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7037791 ← → #7037831

Radix Representation

Decimal 7037829
Binary 11010110110001110000101 (23 bits)
Octal 0o32661605
Hexadecimal 0x6B6385

Divisor Catalog (5 of 12)

1 3 9 757 1,033

Collatz Trajectory (204 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.

7,037,829 21,113,488 10,556,744 5,278,372 2,639,186

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