7940
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 16716
- Proper Divisor Sum (Aliquot Sum)
- 8776
- 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
- 3168
- Möbius Function
- 0
- Radical
- 3970
- Omega Function (Ω)
- 4
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 52
- 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
- a(n) = 2n*a(n-1) - (n-1)^2*a(n-2).at n=6A002793
- Coordination sequence for NiAs(2), Ni position.at n=42A009946
- a(0) = 1, a(n) = 18*n^2 + 2 for n>0.at n=21A010008
- Expansion of 1/((1-x)^2(1-x^2)(1-x^3)(1-x^5)) in powers of x.at n=43A028291
- a(n) = floor( exp(5/11)*n! ).at n=6A030943
- Numerators of continued fraction convergents to sqrt(44).at n=11A041074
- Numerators of continued fraction convergents to sqrt(396).at n=5A041752
- Numerators of continued fraction for alternating factorial.at n=12A056952
- Row 3 of A007754.at n=18A058794
- Nearest integer to log(n!)^(1 + log(1 + log(1 + n))).at n=20A062446
- Second binomial transform of expansion of exp(2*cosh(x)).at n=7A081563
- a(n) = 20*a(n-1) - a(n-2), starting with a(0) = 2 and a(1) = 20.at n=3A090728
- Coefficient of the irreducible character of S_m indexed by (m-2n+2,2n-2) in the n-th Kronecker power of the representation indexed by (m-2,2).at n=16A090809
- a(n) = 8*n^2 + 8*n + 4.at n=31A108099
- Number of conjugated cycles composed of six carbons in (1,1)-nanotubes in terms of the number of naphthalene units.at n=6A121257
- a(n) = n^3 - 3*n.at n=20A121670
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 1, -1), (0, 1, 1), (1, -1, 0), (1, 1, 0)}.at n=7A150447
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, 1), (0, 1, -1), (0, 1, 1), (1, 0, 1)}.at n=7A150557
- Partial sums of A050508.at n=24A178129
- Number of (w,x,y,z) with all terms in {1,...,n} and 3w=x+y+z+n+2.at n=31A212252