λ
Ratio Atlas

21,873,670

2 × 5 × 7 × 132 × 432
Abundant Even Composite

21,873,670 factors as 2 × 5 × 7 × 13^2 × 43^2. Its 72 positive divisors give a proper-divisor sum of 28,010,666, so this integer is abundant. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 13^2 × 43^2
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 49,884,336
Proper Divisor Sum 28,010,666
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #21873641 ← → #21873673

Radix Representation

Decimal 21873670
Binary 1010011011100010000000110 (25 bits)
Octal 0o123342006
Hexadecimal 0x14DC406

Divisor Catalog (60 of 72)

Collatz Trajectory (110 steps to reach 1)

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

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