λ
Ratio Atlas

17,627,584

26 × 13 × 21187
Abundant Even Composite

17,627,584 factors as 2^6 × 13 × 21187. Its 28 positive divisors give a proper-divisor sum of 20,044,680, so this integer is abundant. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 2^6 × 13 × 21187
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 37,672,264
Proper Divisor Sum 20,044,680
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #17627579 ← → #17627587

Radix Representation

Decimal 17627584
Binary 1000011001111100111000000 (25 bits)
Octal 0o103174700
Hexadecimal 0x10CF9C0

Divisor Catalog (28)

Collatz Trajectory (89 steps to reach 1)

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

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