14064
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 36456
- Proper Divisor Sum (Aliquot Sum)
- 22392
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4672
- Möbius Function
- 0
- Radical
- 1758
- Omega Function (Ω)
- 6
- 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
- 151
- 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
- Red rooted red-black trees with n internal nodes.at n=17A001138
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite VNI = VPI-9 Rb44K4[Zn24Si96O240].48H2O starting with a T4 atom.at n=13A019257
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite VSV = VPI-7 Na26H6[Zn16Si56O144].44H2O starting from a T3 atom.at n=13A019261
- Decimal part of n-th root of a(n) starts with digit 7.at n=16A034084
- A060448 sorted and duplicates removed.at n=27A060636
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 97 ).at n=36A063370
- a(n) = 16*(8*prime(n) + 7).at n=28A098823
- Largest number that is not the sum of five n-gonal numbers.at n=25A118367
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, -1, 0), (0, 1, 0), (1, 0, 1), (1, 1, 0)}.at n=7A151078
- Triangle T(n, k, m) = coefficients of p(x, n, m) where p(x,n,m) = (x+1)*p(x, n-1, m) + (2^(m+n-1) + 2^(n-2)*[n>=3])*x*p(x, n-2, m) and m=1, read by rows.at n=24A154985
- A triangle related to the a(n) formulas of the rows of the ED1 array A167546.at n=34A167552
- The second right hand column of triangle A167552.at n=6A167553
- Least number k such that 2*k*n + 1 is a prime dividing 3^n + 1.at n=32A189240
- Number of 1:3:sqrt(10) proportioned triangles on a (n+1) X (n+1) grid.at n=15A190102
- a(n) = Sum_{k=1..n} k*k', where n' is the arithmetic derivative of n.at n=37A190117
- Number of partitions p of n such that floor(mean(p)) and ceiling(mean(p)) are parts of p.at n=40A241340
- Expansion of Product_{k>=1} 1/(1 - (5*k-4)*x^(5*k-4)).at n=30A265834
- Number of active (ON, black) cells at stage 2^n-1 of the two-dimensional cellular automaton defined by "Rule 397", based on the 5-celled von Neumann neighborhood.at n=6A271690
- Values of k such that k^2 + 9 is a triangular number (A000217).at n=10A276601
- Irregular triangle read by rows: T(n, k) = number of ways to tile an n X n X n triangular area with k 2 X 2 X 2 triangular tiles and an appropriate number (= n^2-4*k) of 1 X 1 X 1 tiles.at n=30A286436