λ
Prime Ledger

7,324,372

22 × 112 × 37 × 409
Deficient Even Composite

7,324,372 has the prime decomposition 2^2 × 11^2 × 37 × 409. Its 4 distinct prime factors produce 36 positive divisors.

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Prime Factor Structure

Factorization String 2^2 × 11^2 × 37 × 409
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 14,504,980
Proper Divisor Sum 7,180,608
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7324357 ← → #7324379

Radix Representation

Decimal 7324372
Binary 11011111100001011010100 (23 bits)
Octal 0o33741324
Hexadecimal 0x6FC2D4

Divisor Catalog (5 of 36)

1 2 4 11 22

Collatz Trajectory (59 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.

7,324,372 3,662,186 1,831,093 5,493,280 2,746,640

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