λ
Integer Codex

2,686,122

2 × 35 × 5527
Abundant Even Composite

For 2,686,122, the 24 positive divisors have a total of 6,036,576. Removing 2,686,122 leaves 3,350,454, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3^5 × 5527
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,036,576
Proper Divisor Sum 3,350,454
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2686111 ← → #2686133

Radix Representation

Decimal 2686122
Binary 1010001111110010101010 (22 bits)
Octal 0o12176252
Hexadecimal 0x28FCAA

Divisor Catalog (24)

1 2 3 6 9 18 27 54 81 162 243 486 5,527 11,054 16,581 33,162 49,743 99,486 149,229 298,458 447,687 895,374 1,343,061 2,686,122

Collatz Trajectory (63 steps to reach 1)

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

2,686,122 1,343,061 4,029,184 2,014,592 1,007,296 503,648 251,824 125,912 62,956 31,478 15,739 47,218 23,609 70,828 35,414 17,707 53,122 26,561 79,684 39,842 19,921 59,764 29,882 14,941 44,824 22,412 11,206 5,603 16,810 8,405 25,216 12,608 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16

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