5484
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 12824
- Proper Divisor Sum (Aliquot Sum)
- 7340
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1824
- Möbius Function
- 0
- Radical
- 2742
- 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
- 116
- 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 series-reduced planted trees with n+9 nodes and 4 internal nodes.at n=22A001860
- Number of Twopins positions.at n=44A005686
- Number of triples of different integers from [ 2,n ] with no global factor.at n=34A015618
- Number of lines through exactly 5 points of an n X n grid of points.at n=35A018812
- a(n) = n*(19*n + 1)/2.at n=24A022277
- Number of 5's in all partitions of n.at n=32A024789
- a() = 1,3,... [ A037257 ], differences = 2,... [ A037258 ] and 2nd differences [ A037259 ] are disjoint and monotonic; adjoin next free number to 2nd differences unless it would produce a duplicate in which case ignore.at n=27A037257
- Coordination sequence T2 for Zeolite Code MTF.at n=44A057305
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 93 ).at n=23A063366
- a(n) = 3*n^3 + 2*n^2 + n.at n=12A067389
- Number of solutions to n^2 < x^2 + y^2 + z^2 < (n+1)^2; number of lattice points between spheres of radii n and n+1.at n=21A078184
- Antidiagonal sums of the triangle A099557.at n=21A099558
- Number of triples (i,j,k) with 1 <= i <= j < k <= n and gcd{i,j,k} = 1.at n=33A100448
- a(n) is the number of binary strings of length n such that no subsequence of length 5 or less contains 3 or more ones.at n=17A120118
- Triangle, read by rows, where the g.f. of column k, C_k(x), is defined by the recurrence: C_k(x) = [ 1 + Sum_{n>=k+1} C_n(x)*x^(n-k) ]^(k+1) for k>=0.at n=21A127126
- Column 0 of triangle A127126.at n=6A127127
- Partial sums of partial sums of PrimePi(k).at n=42A137441
- Number of 9's among the digits of all n-digit primes.at n=4A152281
- Index of first occurrence of n in A154404.at n=31A154952
- Numbers k which can be split into two numbers x and y such that x^3 + y^2 is a multiple of k.at n=19A162451