λ
Ratio Atlas

37,200,735

33 × 5 × 11 × 13 × 41 × 47
Abundant Odd Composite

Prime Factor Structure

Factorization String 3^3 × 5 × 11 × 13 × 41 × 47
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 128
Divisor Sum (σ) 81,285,120
Proper Divisor Sum 44,084,385
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #37200733 ← → #37200763

Radix Representation

Decimal 37200735
Binary 10001101111010001101011111 (26 bits)
Octal 0o215721537
Hexadecimal 0x237A35F

Divisor Catalog (60 of 128)

Collatz Trajectory (103 steps to reach 1)

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

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