λ
Integer Codex

6,699,873

3 × 43 × 167 × 311
Deficient Odd Composite

For 6,699,873, the 16 positive divisors have a total of 9,225,216. Removing 6,699,873 leaves 2,525,343, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 43 × 167 × 311
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,225,216
Proper Divisor Sum 2,525,343
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #6699871 ← → #6699881

Radix Representation

Decimal 6699873
Binary 11001100011101101100001 (23 bits)
Octal 0o31435541
Hexadecimal 0x663B61

Divisor Catalog (16)

1 3 43 129 167 311 501 933 7,181 13,373 21,543 40,119 51,937 155,811 2,233,291 6,699,873

Collatz Trajectory (209 steps to reach 1)

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

6,699,873 20,099,620 10,049,810 5,024,905 15,074,716 7,537,358 3,768,679 11,306,038 5,653,019 16,959,058 8,479,529 25,438,588 12,719,294 6,359,647 19,078,942 9,539,471 28,618,414 14,309,207 42,927,622 21,463,811 64,391,434 32,195,717 96,587,152 48,293,576 24,146,788 12,073,394 6,036,697 18,110,092 9,055,046 4,527,523 13,582,570 6,791,285 20,373,856 10,186,928 5,093,464 2,546,732 1,273,366 636,683 1,910,050 955,025 2,865,076 1,432,538 716,269 2,148,808 1,074,404 537,202 268,601 805,804 402,902 201,451 604,354 302,177 906,532 453,266 226,633 679,900 339,950 169,975 509,926 254,963

More profiles

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