λ
Ratio Atlas

10,806,016

28 × 13 × 17 × 191
Abundant Even Composite

10,806,016 factors as 2^8 × 13 × 17 × 191. Its 72 positive divisors give a proper-divisor sum of 13,918,208, so this integer is abundant. The Collatz stopping time is 65 steps.

Prime Factor Structure

Factorization String 2^8 × 13 × 17 × 191
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 24,724,224
Proper Divisor Sum 13,918,208
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #10805983 ← → #10806017

Radix Representation

Decimal 10806016
Binary 101001001110001100000000 (24 bits)
Octal 0o51161400
Hexadecimal 0xA4E300

Divisor Catalog (60 of 72)

Collatz Trajectory (65 steps to reach 1)

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

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