14268
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 35280
- Proper Divisor Sum (Aliquot Sum)
- 21012
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4480
- Möbius Function
- 0
- Radical
- 7134
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 195
- 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
- a(n) = n*(17*n - 1)/2.at n=41A022274
- Molien series for full 8 X 8 Siegel modular group H_3 of order 371589120.at n=42A027633
- Expansion of Molien series for 8-dimensional complex Clifford group of genus 3 and order 743178240.at n=21A039946
- Numerators of continued fraction convergents to sqrt(162).at n=8A041298
- Sylvester dividends for Pell numbers.at n=19A105606
- Numbers k such that A127483(k) = A127483(k+1) - 1 = A127483(k+2) - 2.at n=40A127485
- Positive integers n such that n^2 = (x^4 - y^4)*(z^4 - t^4) where the pairs of integers (x,y) and (z,t) are not proportional.at n=15A147854
- 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, 0, 0), (-1, 0, 1), (1, 0, 1), (1, 1, -1)}.at n=8A149404
- a(n) + a(n+1) + a(n+2) = n^3.at n=36A152728
- Number of (n+2) X 8 binary arrays with every 3 X 3 subblock commuting with each horizontal and vertical neighbor 3 X 3 subblock.at n=14A190030
- a(n) = Sum_{i+j+k=n, i,j,k >= 1} tau(i)*tau(j)*tau(k), where tau() = A000005().at n=31A191829
- a(n) = ( 2*n*(2*n^2 + 9*n + 14) + (-1)^n - 1 )/16.at n=37A248851
- Numbers k such that (4*10^k + 83)/3 is prime.at n=23A280861
- G.f.: Product_{n=-oo..+oo} ( 1 + x^n*(1 - x^n)^n ).at n=33A293602
- Maximum value of the cyclic convolution of the first n positive integers with themselves.at n=35A294172
- Numbers k such that A022567(k) is divisible by k.at n=13A304048
- a(n) is the number of regions formed by n-secting the angles of a hexagon.at n=43A335733
- G.f. A(x) satisfies A(x) = 1 / (1 - x - x * A(x^2)).at n=11A349365