λ
Match Zalai

168,280

23 × 5 × 7 × 601
Abundant Even Composite

168,280 factors as 2^3 × 5 × 7 × 601. Its 32 positive divisors give a proper-divisor sum of 265,160, so this integer is abundant. The Collatz stopping time is 33 steps.

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Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 601
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 433,440
Proper Divisor Sum 265,160
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #168277 ← → #168281

Radix Representation

Decimal 168280
Binary 101001000101011000 (18 bits)
Octal 0o510530
Hexadecimal 0x29158

Divisor Catalog (5 of 32)

1 2 4 5 7

Collatz Trajectory (33 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.

168,280 84,140 42,070 21,035 63,106

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