λ
Prime Ledger

1,857,856

26 × 7 × 11 × 13 × 29
Abundant Even Composite

1,857,856 has the prime decomposition 2^6 × 7 × 11 × 13 × 29. Its 5 distinct prime factors produce 112 positive divisors.

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Prime Factor Structure

Factorization String 2^6 × 7 × 11 × 13 × 29
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 112
Divisor Sum (σ) 5,120,640
Proper Divisor Sum 3,262,784
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #1857829 ← → #1857859

Radix Representation

Decimal 1857856
Binary 111000101100101000000 (21 bits)
Octal 0o7054500
Hexadecimal 0x1C5940

Divisor Catalog (5 of 112)

1 2 4 7 8

Collatz Trajectory (78 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.

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