λ
Ratio Atlas

10,135,880

23 × 5 × 139 × 1823
Abundant Even Composite

10,135,880 factors as 2^3 × 5 × 139 × 1823. Its 32 positive divisors give a proper-divisor sum of 12,846,520, so this integer is abundant. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 139 × 1823
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 22,982,400
Proper Divisor Sum 12,846,520
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #10135871 ← → #10135883

Radix Representation

Decimal 10135880
Binary 100110101010100101001000 (24 bits)
Octal 0o46524510
Hexadecimal 0x9AA948

Divisor Catalog (32)

Collatz Trajectory (189 steps to reach 1)

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

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