Integer Profile

3,378,100

2^2 × 5^2 × 11 × 37 × 83

Prime factors, divisor sums, positional representations and sequence properties for 3,378,100. The prime factorization is 2^2 × 5^2 × 11 × 37 × 83.

Number of positive divisors: 72. Showing the recorded part of the sequence: 190.

AbundantEvenComposite

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Prime factorization

Factorization: 2^2 × 5^2 × 11 × 37 × 83
Distinct prime factors: 5
Perfect square: No
Parity: Even

Arithmetic properties

Positive divisors: 72
Divisor sum: 8,311,968
Proper-divisor sum: 4,933,868
Digit sum: 22
Digital root: 4

Number bases

Decimal: 3378100
Binary: 1100111000101110110100 (22 bits)
Octal: 0o14705664
Hexadecimal: 0x338BB4

Divisor catalog (72)

124510112022253744505574831001101481661852202753323704074155507408148309139251,1001,6281,6601,8261,8502,0352,0753,0713,6523,7004,0704,1504,5656,1428,1408,3009,13010,17512,28415,35518,26020,35022,82530,71033,78140,70045,65061,420

Showing 60 of 72.

Collatz trajectory (190 steps)

Even: n → n/2; Odd: n → 3n + 1

3,378,1001,689,050844,5252,533,5761,266,788633,394316,697950,092475,046237,523712,570356,2851,068,856534,428267,214133,607400,822200,411601,234300,617901,852450,926225,463676,390338,1951,014,586507,2931,521,880760,940380,470190,235570,706285,353856,060428,030214,015642,046321,023963,070481,5351,444,606722,3032,166,9101,083,4553,250,3661,625,1834,875,5502,437,7757,313,3263,656,66310,969,9905,484,99516,454,9868,227,49324,682,48012,341,2406,170,6203,085,3101,542,6554,627,966

Showing 60 of 60.