λ
Prime Ledger

6,329,292

22 × 3 × 527441
Abundant Even Composite

6,329,292 has the prime decomposition 2^2 × 3 × 527441. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 527441
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 14,768,376
Proper Divisor Sum 8,439,084
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6329291 ← → #6329311

Radix Representation

Decimal 6329292
Binary 11000001001001111001100 (23 bits)
Octal 0o30111714
Hexadecimal 0x6093CC

Divisor Catalog (12)

1 2 3 4 6 12 527,441 1,054,882 1,582,323 2,109,764 3,164,646 6,329,292

Collatz Trajectory (103 steps to reach 1)

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

6,329,292 3,164,646 1,582,323 4,746,970 2,373,485 7,120,456 3,560,228 1,780,114 890,057 2,670,172 1,335,086 667,543 2,002,630 1,001,315 3,003,946 1,501,973 4,505,920 2,252,960 1,126,480 563,240 281,620 140,810 70,405 211,216 105,608 52,804 26,402 13,201 39,604 19,802 9,901 29,704 14,852 7,426 3,713 11,140 5,570 2,785 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698

More profiles

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