2800
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 30
- Divisor Sum
- 7688
- Proper Divisor Sum (Aliquot Sum)
- 4888
- 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
- 960
- Möbius Function
- 0
- Radical
- 70
- Omega Function (Ω)
- 7
- Little Omega Function (ω)
- 3
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
- 84
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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 ways of writing n as a sum of 5 squares.at n=37A000132
- Number of ways of writing n as a sum of 5 squares.at n=44A000132
- Number of ways of writing n as a sum of 5 squares.at n=40A000132
- a(n) = (2n)!(2n+1)!/n!^4, or equally (2n+1)*binomial(2n,n)^2.at n=3A000515
- Theta series of D_5 lattice.at n=20A005930
- Theta series of D_5 lattice.at n=22A005930
- Coordination sequence T2 for Zeolite Code AEI.at n=40A008002
- Coordination sequence T3 for Zeolite Code AEI.at n=40A008003
- Coordination sequence T2 for Zeolite Code AST.at n=40A008037
- Coordination sequence T4 for Zeolite Code MEL.at n=34A008153
- Coordination sequence T2 for Zeolite Code STI.at n=36A008235
- Number of points on surface of 4-dimensional cube.at n=7A008511
- E.g.f: log(1+sinh(x))*cosh(x).at n=7A009352
- Triangle of coefficients in expansion of (1+10x)^n.at n=38A013617
- a(0)=1, a(1)=3, a(n) = sum_{k=0}^{k=n-1} 3^k a(k).at n=4A015487
- a(n) = n*(9*n - 1)/2.at n=25A022266
- a(n) = M(n) + m(n) for n >= 2, where M(n) = max{ a(i) + a(n-i): i = 1..n-1 }, m(n) = min{ a(i) + a(n-i): i = 1..n-1 }.at n=19A022905
- Theta series of A*_7 lattice. Expansion of F_8(q^2).at n=55A023919
- a(n) = 4^n - n^4.at n=6A024040
- a(n) is the position of square of n-th prime among the powers of primes (A000961).at n=36A024624