7268
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 13440
- Proper Divisor Sum (Aliquot Sum)
- 6172
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3432
- Möbius Function
- 0
- Radical
- 3634
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 70
- 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
- Numbers k such that k*3^k + 1 is prime.at n=10A006552
- Least k such that the first k terms of A006928 contain n more 2's than 1's.at n=7A025507
- Numbers k such that k*2^k - k - 1 is prime.at n=18A046843
- Number of colors that can be mixed with n >= 0 units of yellow, blue, red.at n=36A048241
- a(n) = 4*n^2 - 3*n + 1.at n=43A054552
- Number of primes in A051351 which have index <= 10^n.at n=5A057573
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 81 ).at n=38A063354
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 91 ).at n=23A063364
- a(0)=1; a(n) = sigma_2(n) + sigma_3(n).at n=18A092344
- Number of base 32 n-digit numbers with adjacent digits differing by one or less.at n=6A126386
- 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, 0), (-1, 0, 1), (1, -1, -1), (1, -1, 1), (1, 1, 0)}.at n=8A149196
- Number of planar n X n X n binary triangular grids symmetric both under 120 degree rotation and reflection with no more than 7 ones in any 5 X 5 X 5 subtriangle.at n=12A153958
- a(n) = 169n + 1.at n=42A158221
- Number of triangular involutions of n. A triangular involution is a square involution with at most three faces.at n=13A164991
- Convolved with its aerated variant = A000041.at n=45A174065
- Number of n X 6 binary arrays without the pattern 0 1 diagonally, vertically or antidiagonally.at n=30A188863
- Coefficient of x in the reduction of the polynomial (x+2)^n by x^3->x^2+x+1.at n=8A192802
- The number of parents of successive approximations used in a greedy approach to creating a Garden of Eden in Conway's Game of Life.at n=8A196447
- Number of ordered triples (w,x,y) with all terms in {-n,...-1,1,...,n} and -1<=w+2x+3y<=1.at n=43A211623
- G.f.: exp( Sum_{n>=1} 4^A001511(n) * x^n/n ), where 2^A001511(n) is the highest power of 2 that divides 2*n.at n=9A217553