λ
Prime Ledger

7,435,376

24 × 13 × 35747
Abundant Even Composite

7,435,376 has the prime decomposition 2^4 × 13 × 35747. Its 3 distinct prime factors produce 20 positive divisors.

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Prime Factor Structure

Factorization String 2^4 × 13 × 35747
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 15,514,632
Proper Divisor Sum 8,079,256
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7435369 ← → #7435399

Radix Representation

Decimal 7435376
Binary 11100010111010001110000 (23 bits)
Octal 0o34272160
Hexadecimal 0x717470

Divisor Catalog (5 of 20)

1 2 4 8 13

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.

7,435,376 3,717,688 1,858,844 929,422 464,711

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