12438
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 26988
- Proper Divisor Sum (Aliquot Sum)
- 14550
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4140
- Möbius Function
- 0
- Radical
- 4146
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 125
- 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
- Integers expressible as the sum of (at least two) consecutive primes in at least 4 ways.at n=24A067374
- a(n) is the square of the n-th partial sum minus the n-th partial sum of the squares, divided by a(n-1), for all n>=1, starting with a(0)=1, a(1)=5.at n=12A087958
- Number of partitions of n with rank 2 (the rank of a partition is the largest part minus the number of parts).at n=51A101199
- Row sums of A163233 and A163235.at n=26A163242
- Half the number of lower triangles of an (n+1) X (n+1) 0..5 array with no element equal to the average of its horizontal and vertical neighbors.at n=1A194612
- T(n,k) = Half the number of lower triangles of an (n+1) X (n+1) 0..k array with no element equal to the average of its horizontal and vertical neighbors.at n=16A194615
- Half the number of lower triangles of a 3X3 0..n array with no element equal to the average of its horizontal and vertical neighbors.at n=4A194616
- Number of -n..n arrays x(0..3) of 4 elements with zero sum, adjacent elements differing by more than one, and elements alternately increasing and decreasing.at n=17A200193
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 345", based on the 5-celled von Neumann neighborhood.at n=26A271295
- Starts of runs of 3 consecutive Niven numbers in base 2 (A049445).at n=8A330932
- a(n) is the number of exterior top arches (no covering arch) for semi-meanders in generation n+1 that are generated by semi-meanders with n top arches and floor(n/2) exterior top arches using the exterior arch splitting algorithm.at n=10A366415
- a(n) = Sum_{k=1..n} (-1)^k*k^3*floor(n/k).at n=27A366917
- Numbers k such that all of k, k+1 and k+2 are the sums of consecutive squares.at n=6A368590
- Irregular table read by rows: T(n,k) is the number of k-gons, k>=2, among all distinct circles that can be constructed from the 3 vertices and the equally spaced 3*n points placed on the sides of an equilateral triangle when every pair of the 3 + 3*n points are connected by a circle and where the points lie at the ends of the circle's diameter.at n=61A372734
- Expansion of Sum_{1<=i<=j} q^(i+j)/( (1-q^i)*(1-q^j) )^2.at n=32A374929