λ
Prime Ledger

7,405,402

2 × 19 × 23 × 37 × 229
Deficient Even Composite

7,405,402 has the prime decomposition 2 × 19 × 23 × 37 × 229. Its 5 distinct prime factors produce 32 positive divisors.

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Prime Factor Structure

Factorization String 2 × 19 × 23 × 37 × 229
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,585,600
Proper Divisor Sum 5,180,198
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #7405399 ← → #7405429

Radix Representation

Decimal 7405402
Binary 11100001111111101011010 (23 bits)
Octal 0o34177532
Hexadecimal 0x70FF5A

Divisor Catalog (5 of 32)

1 2 19 23 37

Collatz Trajectory (204 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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