λ
Ratio Atlas

7,202,689

13 × 157 × 3529
Deficient Odd Composite

7,202,689 factors as 13 × 157 × 3529. Its 8 positive divisors give a proper-divisor sum of 605,671, so this integer is deficient. The Collatz stopping time is 147 steps.

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Prime Factor Structure

Factorization String 13 × 157 × 3529
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,808,360
Proper Divisor Sum 605,671
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7202683 ← → #7202693

Radix Representation

Decimal 7202689
Binary 11011011110011110000001 (23 bits)
Octal 0o33363601
Hexadecimal 0x6DE781

Divisor Catalog (5 of 8)

1 13 157 2,041 3,529

Collatz Trajectory (147 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.

7,202,689 21,608,068 10,804,034 5,402,017 16,206,052

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