14140
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 34272
- Proper Divisor Sum (Aliquot Sum)
- 20132
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4800
- Möbius Function
- 0
- Radical
- 7070
- 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
- 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
- Number of graphs with n nodes and n-2 edges.at n=12A001430
- Numbers k such that 13*4^k + 1 is prime.at n=10A002257
- Fibonacci sequence beginning 3, 7.at n=17A022120
- a(n) = n^3 + (n+1)^3 + (n+2)^3 + (n+3)^3 + (n+4)^3.at n=12A027604
- Triangle of coefficients arising in calculation of A002872 and A002874 (sorting numbers).at n=33A036073
- Each permutation in the list A060117 converted to Site Swap notation, with digits reversed and inverted. "Zero throws" (fixed elements) indicated with 0's.at n=26A060498
- Each permutation in the list A060118 converted to Site Swap notation, with digits reversed and inverted. "Zero throws" (fixed elements) indicated with 0's.at n=26A060499
- Take the list t(n,0) = {1,...,n}; denote by t(n,j) this list after rotating to left (or right) by j positions. Calculate inner product of t(n,0) and t(n,j) and denote the value by s(n,j). Compute this inner product for all j = 1..n and choose the smallest. This is a(n).at n=39A088003
- Number of partitions of n in which the number of parts is relatively prime to n.at n=41A102628
- a(n) = n*(n+1)*(5*n+1)/3.at n=20A174814
- Table, by rows, of T(k,n) the number of simple graphs on v = prime(n) vertices and with e = prime(k) edges.at n=34A182043
- Number of 3-step left-handed knight's tours (moves only out two, left one) on an n X n board summed over all starting positions.at n=36A187173
- Table read by rows of numbers of unordered pairs of partitions of n-element set that have Rand distance k (n>=2, 1 <= k <= n(n-1)/2).at n=46A192100
- Values of x in the solutions to x^2 - 3xy + y^2 + 19 = 0, where 0 < x < y.at n=18A237133
- Number of (n+3)X(2+3) 0..1 arrays with each row divisible by 11 and column not divisible by 11, read as a binary number with top and left being the most significant bits.at n=5A263285
- T(n,k)=Number of (n+3)X(k+3) 0..1 arrays with each row divisible by 11 and column not divisible by 11, read as a binary number with top and left being the most significant bits.at n=26A263288
- Numbers k such that (83*10^k - 29) / 9 is prime.at n=20A278418
- Take apart the sides of each of the integer-sided scalene triangles with perimeter n (at their vertices) and rearrange them orthogonally in 3-space so that their endpoints coincide at a single point. a(n) is the total volume of all rectangular prisms enclosed in this way.at n=31A308234
- T(n, k) is the total number of symmetric peaks in all partitions of n with exactly k blocks, n >= 3, 2 <= k <= n-1.at n=32A373288
- Numbers k such that the total number of digits d in the numbers from 1 to k is even for each d from 0 to 9.at n=28A380642