λ
Integer Codex

2,659,167

32 × 7 × 42209
Deficient Odd Composite

For 2,659,167, the 12 positive divisors have a total of 4,389,840. Removing 2,659,167 leaves 1,730,673, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 7 × 42209
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,389,840
Proper Divisor Sum 1,730,673
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2659159 ← → #2659177

Radix Representation

Decimal 2659167
Binary 1010001001001101011111 (22 bits)
Octal 0o12111537
Hexadecimal 0x28935F

Divisor Catalog (12)

1 3 7 9 21 63 42,209 126,627 295,463 379,881 886,389 2,659,167

Collatz Trajectory (218 steps to reach 1)

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

2,659,167 7,977,502 3,988,751 11,966,254 5,983,127 17,949,382 8,974,691 26,924,074 13,462,037 40,386,112 20,193,056 10,096,528 5,048,264 2,524,132 1,262,066 631,033 1,893,100 946,550 473,275 1,419,826 709,913 2,129,740 1,064,870 532,435 1,597,306 798,653 2,395,960 1,197,980 598,990 299,495 898,486 449,243 1,347,730 673,865 2,021,596 1,010,798 505,399 1,516,198 758,099 2,274,298 1,137,149 3,411,448 1,705,724 852,862 426,431 1,279,294 639,647 1,918,942 959,471 2,878,414 1,439,207 4,317,622 2,158,811 6,476,434 3,238,217 9,714,652 4,857,326 2,428,663 7,285,990 3,642,995

More profiles

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