λ
Modular Archive

89,670

2 × 3 × 5 × 72 × 61
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7^2 × 61
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 254,448
Proper Divisor Sum 164,778
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #89669 ← → #89671

Radix Representation

Decimal 89670
Binary 10101111001000110 (17 bits)
Octal 0o257106
Hexadecimal 0x15E46

Divisor Catalog (48)

Collatz Trajectory (71 steps to reach 1)

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

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