12428
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 23520
- Proper Divisor Sum (Aliquot Sum)
- 11092
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5712
- Möbius Function
- 0
- Radical
- 6214
- 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
- 125
- 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
- Integer part of ((4th elementary symmetric function of 1,2,..,n)/(2nd elementary symmetric function of 1,2,...,n)).at n=27A024173
- Expansion of (3 + x^2) / (1 - x)^4.at n=25A037237
- T(n,n-3), array T as in A038792.at n=42A038793
- Sums of three consecutive heptagonal numbers.at n=40A129111
- Numbers k such that k and k^2 use only the digits 1, 2, 4, 5 and 8.at n=20A136990
- Sum of all parts of all partitions of n that do not contain 1 as a part.at n=25A138880
- 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, 1), (0, 0, -1), (1, 0, -1), (1, 0, 1)}.at n=8A149298
- Third left hand column of triangle A163940.at n=16A163943
- Total number of possible standard knight moves on an n X 2n chessboard, if the knight is placed anywhere.at n=28A180319
- Sum of parts in all partitions of 2n that do not contain 1 as a part.at n=13A182736
- Numbers n such that d(n-1) = d(n+1) = 6, where d(k) is the number of divisors of k (A000005).at n=41A190267
- Potential magic constants of a 10 X 10 magic square composed of consecutive primes.at n=15A192087
- Number of n X 3 0..5 arrays with no element equal to another within a city block distance of two, and new values 0..5 introduced in row major order.at n=5A206391
- Number of nX6 0..5 arrays with no element equal to another within a city block distance of two, and new values 0..5 introduced in row major order.at n=2A206394
- T(n,k)=Number of nXk 0..5 arrays with no element equal to another within a city block distance of two, and new values 0..5 introduced in row major order.at n=30A206396
- T(n,k)=Number of nXk 0..5 arrays with no element equal to another within a city block distance of two, and new values 0..5 introduced in row major order.at n=33A206396
- Number of nonnegative solutions to x^2 + y^2 + z^2 < n^2.at n=28A218711
- The Wiener index of the fullerenyl anion G[n]C[60], defined pictorially in the Arezoomand reference (see Fig. 5).at n=0A221016
- The Wiener index of the nanostar dendrimer defined pictorially as NS[n] in the Z. S. Irani reference.at n=1A224465
- Number of different positions in which a square with side length k, 1 <= k <= n - floor(n/3), can be placed within a bi-symmetric triangle of 1 X 1 squares of height n.at n=36A241526