2042
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 3066
- Proper Divisor Sum (Aliquot Sum)
- 1024
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1020
- Möbius Function
- 1
- Radical
- 2042
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 50
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Expansion of 1/(1-x)^2/(1-x^2)/(1-x^4)/(1-x^10)/(1-x^20).at n=35A001307
- Nearest integer to tan(n)^2.at n=55A005671
- a(n) = ceiling(tan(n)^2).at n=55A005699
- 'Eban' numbers (the letter 'e' is banned!).at n=28A006933
- Coordination sequence T2 for Zeolite Code BIK.at n=28A008048
- Coordination sequence T2 for Zeolite Code LOV.at n=30A008135
- If a, b in sequence, so is ab+6.at n=23A009307
- Coordination sequence T4 for Zeolite Code VNI.at n=28A009910
- Numbers k such that phi(k + 6) | sigma(k) + 6.at n=7A015872
- Numbers k such that the continued fraction for sqrt(k) has period 13.at n=13A020352
- Numbers whose set of base-12 digits is {1,2}.at n=21A032932
- Number of partitions of n into parts not of form 4k+2, 24k, 24k+3 or 24k-3. Also number of partitions in which no odd part is repeated, with 1 part of size less than or equal to 2 and where differences between parts at distance 5 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.at n=40A036030
- Coordination sequence T3 for Zeolite Code AWO.at n=31A038405
- Coordination sequence Z12 for Zeolite Code STT.at n=30A038416
- Coordination sequence T8 for Zeolite Code STT.at n=30A038418
- Numbers k such that string 7,2 occurs in the base 8 representation of k but not of k-1.at n=35A044245
- Numbers n such that string 1,8 occurs in the base 9 representation of n but not of n-1.at n=28A044268
- Numbers n such that string 4,2 occurs in the base 10 representation of n but not of n-1.at n=22A044374
- Numbers n such that string 7,2 occurs in the base 8 representation of n but not of n+1.at n=35A044626
- Numbers k such that string 1,8 occurs in the base 9 representation of k but not of k+1.at n=28A044649