5486
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 8904
- Proper Divisor Sum (Aliquot Sum)
- 3418
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2520
- Möbius Function
- -1
- Radical
- 5486
- Omega Function (Ω)
- 3
- 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
- 116
- 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
- a(n) = floor(n*(n - 1)*(n - 2)/32).at n=57A011914
- a(n) = floor( n*(n-1)*(n-2)*(n-3)/32 ).at n=22A011942
- Numerators of continued fraction convergents to sqrt(689).at n=2A042324
- Sum of n-th antidiagonal of array in A081998.at n=13A082001
- Total number of distinct cycles in a particular cellular automata of size n.at n=17A083843
- Positive integers n such that n^14 + 1 is semiprime (A001358).at n=29A104335
- Number of base 12 n-digit numbers with adjacent digits differing by two or less.at n=5A126399
- a(n) = n*(8*n+3).at n=26A139276
- Molecular topological indices of the sunlet graphs.at n=12A192846
- Number of nonnegative integer arrays of length n+7 with new values 0 upwards introduced in order, no three adjacent elements all unequal, and containing the value 4.at n=5A211844
- T(n,k)=Number of nonnegative integer arrays of length n+2k+1 with new values 0 upwards introduced in order, no three adjacent elements all unequal, and containing the value k+1.at n=33A211849
- Number of nonnegative integer arrays of length 2n+7 with new values 0 upwards introduced in order, no three adjacent elements all unequal, and containing the value n+1.at n=2A211852
- Rectangular array: (row n) = b**c, where b(h) = 2^(h-1), c(h) = (n-1+h)^2, n>=1, h>=1, and ** = convolution.at n=46A213573
- Number of 3 X n 0..1 arrays with diagonals and rows unimodal and antidiagonals nondecreasing.at n=9A224159
- Numbers k such that p = k^2 + 1 is prime, as are p-6 and p+6.at n=28A227178
- Number of partitions of n such that 2*(least part) < greatest part.at n=29A237820
- Row sums of triangle in A139040.at n=37A238383
- Number of partitions p of n such that (maximal multiplicity of the parts of p) >= (maximal part of p).at n=38A240313
- Number of tilings of a 5 X n rectangle using n pentominoes of shapes F, I, L, U.at n=9A251617
- Growth series for affine Coxeter group B_8.at n=7A267171