λ
Prime Ledger

7,356,807

32 × 29 × 71 × 397
Deficient Odd Composite

7,356,807 has the prime decomposition 3^2 × 29 × 71 × 397. Its 4 distinct prime factors produce 24 positive divisors.

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Prime Factor Structure

Factorization String 3^2 × 29 × 71 × 397
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,175,840
Proper Divisor Sum 3,819,033
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7356799 ← → #7356809

Radix Representation

Decimal 7356807
Binary 11100000100000110000111 (23 bits)
Octal 0o34040607
Hexadecimal 0x704187

Divisor Catalog (5 of 24)

1 3 9 29 71

Collatz Trajectory (217 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.

7,356,807 22,070,422 11,035,211 33,105,634 16,552,817

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