5912
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 11100
- Proper Divisor Sum (Aliquot Sum)
- 5188
- 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
- 2952
- Möbius Function
- 0
- Radical
- 1478
- Omega Function (Ω)
- 4
- 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
- 23
- 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 non-stereoisomeric paraffins with n carbon atoms.at n=19A000627
- n is equal to the number of 3s in all numbers <= n written in base 5.at n=6A014895
- Numbers k such that Fib(k) == 21 (mod k).at n=38A023179
- Numbers having period-1 7-digitized sequences.at n=36A031201
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 19.at n=32A031517
- Numbers having three 8's in base 9.at n=8A043487
- Triangular array generated by its row sums: T(n,0)=1 for n >= 1, T(n,1)=r(n-1), T(n,k)=T(n,k-1)+r(n-k) for k=2,3,...,n, n >= 2, r(h)=sum of the numbers in row h of T.at n=34A054115
- T(n,n-1), array T as in A054115.at n=6A054116
- Numbers k such that x^k + x^4 + 2 is irreducible over GF(3).at n=24A058237
- a(n) = Sum_{d divides n} d^(n/d + 1).at n=21A078308
- Numbers whose set of base 9 digits is {0,8}.at n=11A097255
- Triangle read by rows: T(n,k) is number of Dyck n-paths with k UUDDs, 0 <= k <= n/2.at n=32A098978
- Triangle read by rows: T(n,k) is the number of deco polyominoes of height n with k cells in the first column. (A deco polyomino is a directed column-convex polyomino in which the height, measured along the diagonal, is attained only in the last column).at n=33A100822
- Imaginary part of absolute Gaussian perfect numbers, in order of increasing magnitude.at n=36A102532
- Number of compositions of n with exactly 3 adjacent equal parts.at n=12A106359
- Even numbers n such that n^2 is an arithmetic number.at n=24A107924
- Erroneous version of A000627.at n=19A119717
- G.f.: (2*x+4*x^2+4*x^3+4*x^4+2*x^5)/((1-x)^2*(1-x^2)^3*(1-x^3)^4*(1-x^4)).at n=11A127790
- Row sums of unsigned triangle A136656 and also of triangle 2*A136657.at n=5A136658
- Triangle read by rows, T(n,k) = Sum_{j=k..n} j!, 0 <= k <= n.at n=30A143122