λ
Sigma Notebook

2,181,686

2 × 13 × 83911
Deficient Even Composite

2,181,686 is even and not a perfect square. Its factorization is 2 × 13 × 83911 and its 8 divisors sum to 3,524,304.

Prime Factor Structure

Factorization String 2 × 13 × 83911
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,524,304
Proper Divisor Sum 1,342,618
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2181671 ← → #2181689

Radix Representation

Decimal 2181686
Binary 1000010100101000110110 (22 bits)
Octal 0o10245066
Hexadecimal 0x214A36

Divisor Catalog (8)

1 2 13 26 83,911 167,822 1,090,843 2,181,686

Collatz Trajectory (316 steps to reach 1)

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

2,181,686 1,090,843 3,272,530 1,636,265 4,908,796 2,454,398 1,227,199 3,681,598 1,840,799 5,522,398 2,761,199 8,283,598 4,141,799 12,425,398 6,212,699 18,638,098 9,319,049 27,957,148 13,978,574 6,989,287 20,967,862 10,483,931 31,451,794 15,725,897 47,177,692 23,588,846 11,794,423 35,383,270 17,691,635 53,074,906 26,537,453 79,612,360 39,806,180 19,903,090 9,951,545 29,854,636 14,927,318 7,463,659 22,390,978 11,195,489 33,586,468 16,793,234 8,396,617 25,189,852 12,594,926 6,297,463 18,892,390 9,446,195 28,338,586 14,169,293 42,507,880 21,253,940 10,626,970 5,313,485 15,940,456 7,970,228 3,985,114 1,992,557 5,977,672 2,988,836

More profiles

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