λ
Prime Ledger

278,982

2 × 32 × 11 × 1409
Abundant Even Composite

278,982 has the prime decomposition 2 × 3^2 × 11 × 1409. Its 4 distinct prime factors produce 24 positive divisors.

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Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 1409
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 659,880
Proper Divisor Sum 380,898
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #278981 ← → #279001

Radix Representation

Decimal 278982
Binary 1000100000111000110 (19 bits)
Octal 0o1040706
Hexadecimal 0x441C6

Divisor Catalog (5 of 24)

1 2 3 6 9

Collatz Trajectory (52 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.

278,982 139,491 418,474 209,237 627,712

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