14076
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
- 1
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 39312
- Proper Divisor Sum (Aliquot Sum)
- 25236
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4224
- Möbius Function
- 0
- Radical
- 2346
- Omega Function (Ω)
- 6
- 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
- 81
- 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
- McKay-Thompson series of class 5a for Monster.at n=25A007253
- a(n) = p(1)p(n) + p(2)p(n-1) + ... + p(k)p(n+1-k), where k = [ (n+1)/2 ], p = A000040 = the primes.at n=25A024697
- a(n) = p(1)p(n) + p(2)p(n-1) + ... + p(k)p(n-k+1), where k = [ n/2 ], p = A000040, the primes.at n=25A025129
- a(n) = (2*n+1)*(11*n+1).at n=25A033575
- Total number of odd parts in all partitions of n.at n=25A066897
- Numbers occurring twice in A068627.at n=17A068628
- Number of partitions of n such that the set of odd parts has only one element.at n=51A090868
- Starting with 1, each number is the previous number plus the product of the index number and the sum of the digits of the previous number.at n=40A113904
- a(n) = largest number k such that k and k * n taken together have distinct digits, or 0 if no such k exists.at n=6A173780
- a(n) = ceiling(n!*exp(-n)).at n=13A174300
- The Wiener index of the Kneser graph K(n,2) (n>=5).at n=13A228306
- Number of ways to place 2 points on a triangular grid of side n so that they are not adjacent.at n=16A239568
- Number of length 3 1..(n+2) arrays with no leading partial sum equal to a prime and no consecutive values equal.at n=31A255718
- a(n) = 4*n*(n^2 - 3*n - 1)/3.at n=23A275876
- G.f.: x^2 * f''(x), where f(x) = Product_{k>=1} (1 + x^k).at n=18A278407
- Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 307", based on the 5-celled von Neumann neighborhood.at n=26A287598
- Numbers equal to the sum of three oblong numbers in arithmetic progression.at n=34A292314
- Numbers k such that 2^m == 2 (mod m*(m+1)), where m = A019320(k).at n=28A297414
- Numbers k such that A019320(k) is in A217465.at n=20A297415
- Number of partitions of n whose minimal excluded multiplicity is even.at n=38A299408