λ
Ratio Atlas

10,257,576

23 × 3 × 7 × 61057
Abundant Even Composite

10,257,576 factors as 2^3 × 3 × 7 × 61057. Its 32 positive divisors give a proper-divisor sum of 19,050,264, so this integer is abundant. The Collatz stopping time is 220 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 61057
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 29,307,840
Proper Divisor Sum 19,050,264
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #10257557 ← → #10257589

Radix Representation

Decimal 10257576
Binary 100111001000010010101000 (24 bits)
Octal 0o47102250
Hexadecimal 0x9C84A8

Divisor Catalog (32)

Collatz Trajectory (220 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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