λ
Prime Ledger

4,000,036

22 × 293 × 3413
Deficient Even Composite

4,000,036 has the prime decomposition 2^2 × 293 × 3413. Its 3 distinct prime factors produce 12 positive divisors.

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Prime Factor Structure

Factorization String 2^2 × 293 × 3413
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,026,012
Proper Divisor Sum 3,025,976
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #3999971 ← → #4000037

Radix Representation

Decimal 4000036
Binary 1111010000100100100100 (22 bits)
Octal 0o17204444
Hexadecimal 0x3D0924

Divisor Catalog (5 of 12)

1 2 4 293 586

Collatz Trajectory (141 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.

4,000,036 2,000,018 1,000,009 3,000,028 1,500,014

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