λ
Sigma Notebook

87,570

2 × 32 × 5 × 7 × 139
Abundant Even Composite

87,570 is even and not a perfect square. Its factorization is 2 × 3^2 × 5 × 7 × 139 and its 48 divisors sum to 262,080.

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Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 7 × 139
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 262,080
Proper Divisor Sum 174,510
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #87559 ← → #87583

Radix Representation

Decimal 87570
Binary 10101011000010010 (17 bits)
Octal 0o253022
Hexadecimal 0x15612

Divisor Catalog (5 of 48)

1 2 3 5 6

Collatz Trajectory (89 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.

87,570 43,785 131,356 65,678 32,839

More profiles

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