λ
Prime Ledger

6,327,736

23 × 790967
Deficient Even Composite

6,327,736 has the prime decomposition 2^3 × 790967. Its 2 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 790967
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,864,520
Proper Divisor Sum 5,536,784
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6327721 ← → #6327743

Radix Representation

Decimal 6327736
Binary 11000001000110110111000 (23 bits)
Octal 0o30106670
Hexadecimal 0x608DB8

Divisor Catalog (8)

1 2 4 8 790,967 1,581,934 3,163,868 6,327,736

Collatz Trajectory (271 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

6,327,736 3,163,868 1,581,934 790,967 2,372,902 1,186,451 3,559,354 1,779,677 5,339,032 2,669,516 1,334,758 667,379 2,002,138 1,001,069 3,003,208 1,501,604 750,802 375,401 1,126,204 563,102 281,551 844,654 422,327 1,266,982 633,491 1,900,474 950,237 2,850,712 1,425,356 712,678 356,339 1,069,018 534,509 1,603,528 801,764 400,882 200,441 601,324 300,662 150,331 450,994 225,497 676,492 338,246 169,123 507,370 253,685 761,056 380,528 190,264 95,132 47,566 23,783 71,350 35,675 107,026 53,513 160,540 80,270 40,135

More profiles

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