λ
Integer Codex

2,684,110

2 × 5 × 11 × 13 × 1877
Abundant Even Composite

For 2,684,110, the 32 positive divisors have a total of 5,679,072. Removing 2,684,110 leaves 2,994,962, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 13 × 1877
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,679,072
Proper Divisor Sum 2,994,962
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2684093 ← → #2684141

Radix Representation

Decimal 2684110
Binary 1010001111010011001110 (22 bits)
Octal 0o12172316
Hexadecimal 0x28F4CE

Divisor Catalog (32)

1 2 5 10 11 13 22 26 55 65 110 130 143 286 715 1,430 1,877 3,754 9,385 18,770 20,647 24,401 41,294 48,802 103,235 122,005 206,470 244,010 268,411 536,822 1,342,055 2,684,110

Collatz Trajectory (231 steps to reach 1)

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

2,684,110 1,342,055 4,026,166 2,013,083 6,039,250 3,019,625 9,058,876 4,529,438 2,264,719 6,794,158 3,397,079 10,191,238 5,095,619 15,286,858 7,643,429 22,930,288 11,465,144 5,732,572 2,866,286 1,433,143 4,299,430 2,149,715 6,449,146 3,224,573 9,673,720 4,836,860 2,418,430 1,209,215 3,627,646 1,813,823 5,441,470 2,720,735 8,162,206 4,081,103 12,243,310 6,121,655 18,364,966 9,182,483 27,547,450 13,773,725 41,321,176 20,660,588 10,330,294 5,165,147 15,495,442 7,747,721 23,243,164 11,621,582 5,810,791 17,432,374 8,716,187 26,148,562 13,074,281 39,222,844 19,611,422 9,805,711 29,417,134 14,708,567 44,125,702 22,062,851

More profiles

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