14020
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 29484
- Proper Divisor Sum (Aliquot Sum)
- 15464
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5600
- Möbius Function
- 0
- Radical
- 7010
- 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
- 58
- 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 Product_{m>=1} (1 + m*q^m)^4.at n=9A022632
- Convolution of natural numbers >= 2 and natural numbers >= 3.at n=39A023545
- Number of permutations satisfying i-2<=p(i)<=i+3, i=1..n.at n=10A072827
- Interprimes which are of the form s*prime, s=20.at n=15A075295
- Number of Othello shapes with unique realization at the end of the n-th ply.at n=7A125529
- a(n) = 1000*n + 20.at n=13A157510
- Numbers n>0 such that 666*10^n+1 is prime.at n=15A186630
- Number of right triangles on a (n+1) X 4 grid.at n=30A189808
- Binomial convolution of sum of consecutive powers.at n=5A215077
- Number of simple unlabeled graphs on n nodes with exactly 8 connected components that are trees or cycles.at n=13A215988
- Total number of parts of multiplicity 8 in all partitions of n.at n=42A222708
- Number of ways to place 3 points on a triangular grid of side n so that no three of them are vertices of an equilateral triangle with sides parallel to the grid.at n=7A243212
- Number of 1Xn 0..n arrays with every repeated value in every row and column equal to the previous repeated value, and new values introduced in row-major sequential order.at n=8A268004
- Numbers n such that Bernoulli number B_{n} has denominator 330.at n=38A272183
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 705", based on the 5-celled von Neumann neighborhood.at n=21A273419
- Numbers k such that 3*10^k - 23 is prime.at n=17A295400
- A331757(n)/2.at n=16A331758
- a(n) is the smallest number which can be represented as the sum of n distinct nonzero squares in exactly n ways, or 0 if no such number exists.at n=32A350241