17812
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 32116
- Proper Divisor Sum (Aliquot Sum)
- 14304
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8640
- Möbius Function
- 0
- Radical
- 8906
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 141
- 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
- Numbers that are the sum of 4 positive 6th powers.at n=44A003360
- Conjectured formula for irreducible 6-fold Euler sums of weight 2n+16.at n=29A019459
- "AGK" (ordered, elements, unlabeled) transform of 2,2,2,2...at n=13A032023
- Expansion of 1/(1-x-2*x^2-3*x^3).at n=12A101822
- Number of orbits of the 4-step recursion mod n.at n=51A106286
- Norm of coefficients in the series C(x) defined by C(x) = 1 + x*C(i*x)^2, where i^2 = -1.at n=8A193379
- Number of nondecreasing -6..6 vectors of length n whose dot product with some nonincreasing -6..6 vector equals n.at n=5A226397
- T(n,k)=Number of nondecreasing -k..k vectors of length n whose dot product with some nonincreasing -k..k vector equals n.at n=60A226398
- Number of nondecreasing -n..n vectors of length 6 whose dot product with some nonincreasing -n..n vector equals 6.at n=5A226403
- Number of partitions of n such that the number of parts having multiplicity 1 is a part and the number of distinct parts is a part.at n=44A241442
- Number of Dyck paths of semilength n having exactly 4 (possibly overlapping) occurrences of the consecutive steps UDUUUDDDUD (with U=(1,1), D=(1,-1)).at n=6A243874
- Number of standard Young tableaux with n cells and 4 as last value in the first row.at n=10A245002
- Guttmann-Torrie simple cubic lattice series coefficients c_n^{22}(Pi).at n=8A259807
- Number of trapezoidal words of length n.at n=48A260881
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 401", based on the 5-celled von Neumann neighborhood.at n=30A271805
- Numbers of the form a^6 + b^7, with integers a, b > 0.at n=17A303376