λ
Prime Ledger

535,760

24 × 5 × 37 × 181
Abundant Even Composite

535,760 has the prime decomposition 2^4 × 5 × 37 × 181. Its 4 distinct prime factors produce 40 positive divisors.

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Prime Factor Structure

Factorization String 2^4 × 5 × 37 × 181
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 1,286,376
Proper Divisor Sum 750,616
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #535757 ← → #535771

Radix Representation

Decimal 535760
Binary 10000010110011010000 (20 bits)
Octal 0o2026320
Hexadecimal 0x82CD0

Divisor Catalog (5 of 40)

1 2 4 5 8

Collatz Trajectory (45 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.

535,760 267,880 133,940 66,970 33,485

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