10840
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 24480
- Proper Divisor Sum (Aliquot Sum)
- 13640
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4320
- Möbius Function
- 0
- Radical
- 2710
- Omega Function (Ω)
- 5
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 117
- 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) = floor( n*(n-1)*(n-2)/29 ).at n=69A011911
- a(n) = [ (3rd elementary symmetric function of S(n))/(first elementary symmetric function of S(n)) ], where S(n) = {first n+2 odd positive integers}.at n=14A024202
- a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ... + a(n-3)*a(3) for n >= 4, with initial terms 0, 2, 1, 0.at n=18A025253
- Lesser members of g-reduced amicable pairs a < b such that sigma(a) = sigma(b) = a + b + gcd(a,b).at n=31A054573
- McKay-Thompson series of class 23A for Monster.at n=25A058570
- McKay-Thompson series of class 23A for the Monster group with a(0) = 1.at n=25A134781
- Size of acyclic domain of size n based on the alternating scheme.at n=12A144685
- Fourth entry in row n of triangle in A169945.at n=17A169948
- Triangle T(n,d) read by rows: Number of ascent sequences of length n with d zeros.at n=37A175579
- Sophie Germain 5-almost primes.at n=14A211162
- Number of (w,x,y,z) with all terms in {1,...,n} and |x-y|=|y-z|+1.at n=20A212680
- Numbers k such that 27*k+1 is a square.at n=40A219258
- Number of n-node unlabeled rooted trees with thickening limbs and root outdegree (branching factor) 2.at n=20A245142
- Growth series for affine Coxeter group B_4.at n=26A267167
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 441", based on the 5-celled von Neumann neighborhood.at n=23A272223
- Numbers k such that 6*10^k - 91 is prime.at n=18A294945
- Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 5 or 8 king-move adjacent elements, with upper left element zero.at n=7A305336
- T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 5 or 8 king-move adjacent elements, with upper left element zero.at n=58A305340
- Take apart the sides of each of the integer-sided triangles with perimeter n (at their vertices) and rearrange them orthogonally in 3-space so that their endpoints coincide at a single point. a(n) is the total surface area of all rectangular prisms enclosed in this way.at n=29A308236
- Number of compositions of n into parts with distinct multiplicities and with exactly eight parts.at n=22A321778