λ
Sigma Notebook

101,000

23 × 53 × 101
Abundant Even Composite

101,000 is even and not a perfect square. Its factorization is 2^3 × 5^3 × 101 and its 32 divisors sum to 238,680.

Prime Factor Structure

Factorization String 2^3 × 5^3 × 101
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 238,680
Proper Divisor Sum 137,680
Digit Sum / Digital Root 2 (Root: 2)
Adjacent Primes #100999 ← → #101009

Radix Representation

Decimal 101000
Binary 11000101010001000 (17 bits)
Octal 0o305210
Hexadecimal 0x18A88

Divisor Catalog (32)

Collatz Trajectory (97 steps to reach 1)

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

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