14124
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 36288
- Proper Divisor Sum (Aliquot Sum)
- 22164
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4240
- Möbius Function
- 0
- Radical
- 7062
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 102
- 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
- Expansion of 1/(1-x^6-x^7-x^8-x^9-x^10-x^11-x^12-x^13).at n=50A017853
- Number of nonempty subsets of {1,2,...,n} in which exactly 5/6 of the elements are <= n/3.at n=34A048002
- Number of nonempty subsets of {1,2,...,n} in which exactly 5/6 of the elements are <= (n-1)/3.at n=34A048015
- Number of nonempty subsets of {1,2,...,n} in which exactly 5/6 of the elements are <= (n-2)/3.at n=34A048026
- A list of equal temperaments (equal divisions of the octave) whose nearest scale steps are closer and closer approximations to six complementary pairs of ratios which generate simple musical tones (scale steps): 8/7 and 7/4, 6/5 and 5/3, 16/13 and 13/8, 5/4 and 8/5, 4/3 and 3/2 and 11/8 and 16/11.at n=45A060233
- Difference between average of smallest prime greater than n^3 and largest prime less than (n+1)^3 and n-th pronic [=n(n+1)].at n=22A063036
- Numbers n for which there are exactly ten k such that n = k + reverse(k).at n=7A072434
- a(n) = n*(2*n^2 + n + 1)/2.at n=23A085786
- Numbers k such that k! + k!! + 1 is prime, where k!! denotes double factorial (A006882).at n=8A116896
- a(0)=1. a(n) = sum{k=0 to n-1} a(a(k)(mod n)).at n=19A125952
- Number of ways that a tile in the form of a strip of n congruent regular hexagons stuck together on successive parallel edges can be surrounded by one layer of copies of itself in a plane. Ways that differ by rotation or reflection are not counted as different. The surrounded tile is the exact surrounded region.at n=5A159295
- Permanent of the n-th principal submatrix of A143182.at n=4A204235
- Number of nX7 0..3 arrays avoiding the pattern z-2 z-1 z in any row, column, nw-to-se diagonal or ne-to-sw antidiagonal.at n=0A206837
- T(n,k) = Number of n X k 0..3 arrays avoiding the pattern z-2 z-1 z in any row, column, nw-to-se diagonal or ne-to-sw antidiagonal.at n=21A206838
- T(n,k) = Number of n X k 0..3 arrays avoiding the pattern z-2 z-1 z in any row, column, nw-to-se diagonal or ne-to-sw antidiagonal.at n=27A206838
- Number of 1 X n 0..3 arrays avoiding the pattern z-2 z-1 z in any row, column, nw-to-se diagonal or ne-to-sw antidiagonal.at n=7A206839
- Number of 7Xn 0..3 arrays avoiding the pattern z-2 z-1 z in any row, column, nw-to-se diagonal or ne-to-sw antidiagonal.at n=0A206845
- Number of nX7 0..3 arrays avoiding the pattern z-2 z-1 z in any row, column or nw-to-se diagonal.at n=0A206899
- T(n,k)=Number of nXk 0..3 arrays avoiding the pattern z-2 z-1 z in any row, column or nw-to-se diagonal.at n=21A206900
- T(n,k)=Number of nXk 0..3 arrays avoiding the pattern z-2 z-1 z in any row, column or nw-to-se diagonal.at n=27A206900