6960
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 40
- Divisor Sum
- 22320
- Proper Divisor Sum (Aliquot Sum)
- 15360
- 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
- 1792
- Möbius Function
- 0
- Radical
- 870
- Omega Function (Ω)
- 7
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 31
- 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
- Representation degeneracies for Neveu-Schwarz strings.at n=22A005299
- Denominator of B_{2n}/(-4n), where B_m are the Bernoulli numbers.at n=14A006863
- a(n) = denominator of Bernoulli(2n)/(2n).at n=27A006953
- Theta series of direct sum of 2 copies of f.c.c. lattice.at n=17A008663
- Coordination sequence for F_4 lattice.at n=5A019558
- a(n) = Sum_{k=0..floor(n/2)+1} (k+1) * A026009(n, k).at n=11A027291
- Total number of possible knight moves on an (n+2) X (n+2) chessboard, if the knight is placed anywhere.at n=29A035008
- Number of ways to place a non-attacking white and black queen on n X n chessboard.at n=9A035291
- Number of points of l_1 norm n in the "diamond" lattice D^+_4.at n=12A035878
- Convolution of natural numbers n >= 1 with Fibonacci numbers F(k), for k >= -7, with F(-n)=(-1)^(n+1)*F(n).at n=23A037158
- Numerators of continued fraction convergents to sqrt(284).at n=7A041534
- a(n) is twice the coefficient of 1 in the fundamental unit of Q(sqrt(A000037(n))) where A000037 lists the nonsquare numbers (Version 1).at n=62A048941
- Twice second pentagonal numbers.at n=48A049451
- a(n) = Sum_{m=1..n, k=1..m} T(m,k), array T as in A049834.at n=37A049836
- E.g.f. (1-x^2)/(1-2x-x^2).at n=5A052622
- Numbers k such that k | sigma_7(k).at n=36A055711
- Number of primitive (period n) step cyclic shifted sequences using a maximum of six different symbols.at n=6A056423
- Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,13.at n=4A064243
- Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,21.at n=16A064247
- Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,51.at n=3A064262