λ
Sigma Notebook

2,220,065

5 × 31 × 14323
Deficient Odd Composite

2,220,065 is odd and not a perfect square. Its factorization is 5 × 31 × 14323 and its 8 divisors sum to 2,750,208.

Prime Factor Structure

Factorization String 5 × 31 × 14323
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,750,208
Proper Divisor Sum 530,143
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #2220059 ← → #2220073

Radix Representation

Decimal 2220065
Binary 1000011110000000100001 (22 bits)
Octal 0o10360041
Hexadecimal 0x21E021

Divisor Catalog (8)

1 5 31 155 14,323 71,615 444,013 2,220,065

Collatz Trajectory (166 steps to reach 1)

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

2,220,065 6,660,196 3,330,098 1,665,049 4,995,148 2,497,574 1,248,787 3,746,362 1,873,181 5,619,544 2,809,772 1,404,886 702,443 2,107,330 1,053,665 3,160,996 1,580,498 790,249 2,370,748 1,185,374 592,687 1,778,062 889,031 2,667,094 1,333,547 4,000,642 2,000,321 6,000,964 3,000,482 1,500,241 4,500,724 2,250,362 1,125,181 3,375,544 1,687,772 843,886 421,943 1,265,830 632,915 1,898,746 949,373 2,848,120 1,424,060 712,030 356,015 1,068,046 534,023 1,602,070 801,035 2,403,106 1,201,553 3,604,660 1,802,330 901,165 2,703,496 1,351,748 675,874 337,937 1,013,812 506,906

More profiles

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