λ
Ratio Atlas

10,762,528

25 × 7 × 23 × 2089
Abundant Even Composite

10,762,528 factors as 2^5 × 7 × 23 × 2089. Its 48 positive divisors give a proper-divisor sum of 14,518,112, so this integer is abundant. The Collatz stopping time is 158 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 23 × 2089
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 25,280,640
Proper Divisor Sum 14,518,112
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #10762519 ← → #10762537

Radix Representation

Decimal 10762528
Binary 101001000011100100100000 (24 bits)
Octal 0o51034440
Hexadecimal 0xA43920

Divisor Catalog (48)

Collatz Trajectory (158 steps to reach 1)

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

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