λ
Ratio Atlas

20,121,360

24 × 3 × 5 × 72 × 29 × 59
Abundant Even Composite

20,121,360 factors as 2^4 × 3 × 5 × 7^2 × 29 × 59. Its 240 positive divisors give a proper-divisor sum of 56,213,040, so this integer is abundant. The Collatz stopping time is 58 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 7^2 × 29 × 59
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 240
Divisor Sum (σ) 76,334,400
Proper Divisor Sum 56,213,040
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #20121349 ← → #20121391

Radix Representation

Decimal 20121360
Binary 1001100110000011100010000 (25 bits)
Octal 0o114603420
Hexadecimal 0x1330710

Divisor Catalog (60 of 240)

Collatz Trajectory (58 steps to reach 1)

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

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