λ
Prime Ledger

107,010

2 × 32 × 5 × 29 × 41
Abundant Even Composite

107,010 has the prime decomposition 2 × 3^2 × 5 × 29 × 41. Its 5 distinct prime factors produce 48 positive divisors.

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Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 29 × 41
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 294,840
Proper Divisor Sum 187,830
Digit Sum / Digital Root 9 (Root: 9)
Adjacent Primes #106993 ← → #107021

Radix Representation

Decimal 107010
Binary 11010001000000010 (17 bits)
Octal 0o321002
Hexadecimal 0x1A202

Divisor Catalog (5 of 48)

1 2 3 5 6

Collatz Trajectory (97 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

107,010 53,505 160,516 80,258 40,129

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