λ
Prime Ledger

7,374,976

27 × 7 × 8231
Abundant Even Composite

7,374,976 has the prime decomposition 2^7 × 7 × 8231. Its 3 distinct prime factors produce 32 positive divisors.

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Prime Factor Structure

Factorization String 2^7 × 7 × 8231
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,793,280
Proper Divisor Sum 9,418,304
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #7374967 ← → #7374989

Radix Representation

Decimal 7374976
Binary 11100001000100010000000 (23 bits)
Octal 0o34104200
Hexadecimal 0x708880

Divisor Catalog (5 of 32)

1 2 4 7 8

Collatz Trajectory (173 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.

7,374,976 3,687,488 1,843,744 921,872 460,936

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