λ
Prime Ledger

6,734,043

33 × 443 × 563
Deficient Odd Composite

6,734,043 has the prime decomposition 3^3 × 443 × 563. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 443 × 563
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,016,640
Proper Divisor Sum 3,282,597
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6734033 ← → #6734047

Radix Representation

Decimal 6734043
Binary 11001101100000011011011 (23 bits)
Octal 0o31540333
Hexadecimal 0x66C0DB

Divisor Catalog (16)

1 3 9 27 443 563 1,329 1,689 3,987 5,067 11,961 15,201 249,409 748,227 2,244,681 6,734,043

Collatz Trajectory (72 steps to reach 1)

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

6,734,043 20,202,130 10,101,065 30,303,196 15,151,598 7,575,799 22,727,398 11,363,699 34,091,098 17,045,549 51,136,648 25,568,324 12,784,162 6,392,081 19,176,244 9,588,122 4,794,061 14,382,184 7,191,092 3,595,546 1,797,773 5,393,320 2,696,660 1,348,330 674,165 2,022,496 1,011,248 505,624 252,812 126,406 63,203 189,610 94,805 284,416 142,208 71,104 35,552 17,776 8,888 4,444 2,222 1,111 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34

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