λ
Integer Codex

6,697,293

3 × 43 × 193 × 269
Deficient Odd Composite

For 6,697,293, the 16 positive divisors have a total of 9,218,880. Removing 6,697,293 leaves 2,521,587, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 43 × 193 × 269
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,218,880
Proper Divisor Sum 2,521,587
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #6697283 ← → #6697297

Radix Representation

Decimal 6697293
Binary 11001100011000101001101 (23 bits)
Octal 0o31430515
Hexadecimal 0x66314D

Divisor Catalog (16)

1 3 43 129 193 269 579 807 8,299 11,567 24,897 34,701 51,917 155,751 2,232,431 6,697,293

Collatz Trajectory (165 steps to reach 1)

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

6,697,293 20,091,880 10,045,940 5,022,970 2,511,485 7,534,456 3,767,228 1,883,614 941,807 2,825,422 1,412,711 4,238,134 2,119,067 6,357,202 3,178,601 9,535,804 4,767,902 2,383,951 7,151,854 3,575,927 10,727,782 5,363,891 16,091,674 8,045,837 24,137,512 12,068,756 6,034,378 3,017,189 9,051,568 4,525,784 2,262,892 1,131,446 565,723 1,697,170 848,585 2,545,756 1,272,878 636,439 1,909,318 954,659 2,863,978 1,431,989 4,295,968 2,147,984 1,073,992 536,996 268,498 134,249 402,748 201,374 100,687 302,062 151,031 453,094 226,547 679,642 339,821 1,019,464 509,732 254,866

More profiles

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