2030
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 5
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 4320
- Proper Divisor Sum (Aliquot Sum)
- 2290
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 672
- Möbius Function
- 1
- Radical
- 2030
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 37
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- Number of integers <= 2^n of form x^2 - 2y^2.at n=13A000047
- Number of binary partitions: number of partitions of 2n into powers of 2.at n=33A000123
- Number of points on surface of hexagonal prism: 12*n^2 + 2 for n > 0 (coordination sequence for W(2)).at n=13A005914
- Number of points on surface of square pyramid: 3*n^2 + 2 (n>0).at n=26A005918
- Expansion of (1+x^2)/((1-x)^2*(1-x^2)^2).at n=27A005993
- Primitive pseudoperfect numbers.at n=33A006036
- a(n) = n*(n+1)*(2*n+1)/3.at n=14A006331
- If n mod 2 = 0 then n*(n^2-4)/12 else n*(n^2-1)/12.at n=29A006584
- 'Eban' numbers (the letter 'e' is banned!).at n=23A006933
- Magnetization for hexagonal lattice.at n=12A007207
- Coordination sequence T6 for Zeolite Code MFS.at n=28A008178
- a(n) = floor(n*(n-1)*(n-2)/12).at n=30A011894
- a(n) = floor( n*(n-1)*(n-2)/27 ).at n=39A011909
- Expansion of e.g.f.: sech(arctan(x)*exp(x))=1-1/2!*x^2-6/3!*x^3-11/4!*x^4+100/5!*x^5...at n=7A012419
- Numbers k that divide s(k), where s(1)=1, s(j)=6*s(j-1)+j.at n=49A014853
- Expansion of Product_{m>=1} (1-m*q^m)^-4.at n=6A022728
- Number of compositions of n into positive triangular numbers.at n=19A023361
- a(n) = 1*(n) + 2*(n-1) + 3*(n-2) + ... + (n+1-k)*k, where k = floor((n+1)/2).at n=27A023855
- a(n) = 1*(n+1-1) + 2*(n+1-2) + ... + k*(n+1-k), where k = floor((n+1)/2).at n=26A023856
- a(n) = Sum_{k=2..n} k*floor(n/k).at n=48A024917