λ
Prime Ledger

2,745,743

7 × 11 × 132 × 211
Deficient Odd Composite

2,745,743 has the prime decomposition 7 × 11 × 13^2 × 211. Its 4 distinct prime factors produce 24 positive divisors.

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Prime Factor Structure

Factorization String 7 × 11 × 13^2 × 211
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,724,416
Proper Divisor Sum 978,673
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2745737 ← → #2745761

Radix Representation

Decimal 2745743
Binary 1010011110010110001111 (22 bits)
Octal 0o12362617
Hexadecimal 0x29E58F

Divisor Catalog (5 of 24)

1 7 11 13 77

Collatz Trajectory (55 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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