λ
Ratio Atlas

1,983,200

25 × 52 × 37 × 67
Abundant Even Composite

1,983,200 factors as 2^5 × 5^2 × 37 × 67. Its 72 positive divisors give a proper-divisor sum of 3,063,352, so this integer is abundant. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 2^5 × 5^2 × 37 × 67
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 5,046,552
Proper Divisor Sum 3,063,352
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1983197 ← → #1983227

Radix Representation

Decimal 1983200
Binary 111100100001011100000 (21 bits)
Octal 0o7441340
Hexadecimal 0x1E42E0

Divisor Catalog (60 of 72)

Collatz Trajectory (153 steps to reach 1)

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

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