17824
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 35154
- Proper Divisor Sum (Aliquot Sum)
- 17330
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8896
- Möbius Function
- 0
- Radical
- 1114
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 2
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
- 48
- 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 partitions satisfying cn(0,5) + cn(1,5) < cn(2,5) + cn(3,5) and cn(0,5) + cn(4,5) < cn(2,5) + cn(3,5).at n=41A039884
- Number of ways to color faces of an icosahedron using at most n colors.at n=2A054472
- Numbers n such that 9*2^(2*n-1) - 1 is prime.at n=31A091996
- Number of different colorings of the platonic solids allowing rotation symmetry.at n=4A098112
- Number of DD's in all skew Dyck paths of semilength n.at n=8A128740
- Number of 5-step left-handed knight's tours (moves only out two, left one) on an n X n board summed over all starting positions.at n=17A187175
- Number of arrangements of 4 nonzero numbers x(i) in -n..n with the sum of x(i)*x(i+1) equal to zero.at n=27A188250
- Number of arrangements of 3 nonzero numbers x(i) in -n..n with the sum of floor(x(i)/x(i+1)) equal to zero.at n=25A189499
- Number of (n+1)X(1+1) 0..2 arrays colored with the maximum plus the upper median minus the lower median minus the minimum of every 2X2 subblock.at n=3A236646
- Number of (n+1)X(4+1) 0..2 arrays colored with the maximum plus the upper median minus the lower median minus the minimum of every 2X2 subblock.at n=0A236649
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the maximum plus the upper median minus the lower median minus the minimum of every 2X2 subblock.at n=6A236651
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the maximum plus the upper median minus the lower median minus the minimum of every 2X2 subblock.at n=9A236651
- Number of length n+7 0..1 arrays with at most one downstep in every n consecutive neighbor pairs.at n=35A255998
- Expansion of Product_{k>=1} 1/((1 - x^(2*k))*(1 - x^(2*k-1))^3).at n=17A298311
- Positive numbers k such that -k, -(k + 1), and -(k + 2) are 3 consecutive negative negaFibonacci-Niven numbers (A331088).at n=41A331090
- Number of partitions of n with rank a multiple of 5.at n=44A363237
- Number of symmetric (0,1)-matrices with sum of entries equal to n and no zero rows or columns, with weakly decreasing row sums and column sums.at n=9A370723
- Number of fixed site animals containing n nodes on the nodes of the cairo pentagonal tiling.at n=8A378362
- Starts of runs of 3 consecutive integers that are all terms in A381581.at n=44A381583