8734
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 14328
- Proper Divisor Sum (Aliquot Sum)
- 5594
- 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
- 3960
- Möbius Function
- -1
- Radical
- 8734
- Omega Function (Ω)
- 3
- 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
- 140
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- Expansion of e.g.f.: sec(tan(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+115/4!*x^4-500/5!*x^5...at n=6A012934
- Numbers k such that k^2 is palindromic in base 16.at n=22A029733
- A simple context-free grammar: convolution square of A001002.at n=9A052706
- Sum of n-th antidiagonal of array in A082002.at n=20A082005
- Triangle read by rows, formed from product of Pascal's triangle (A007318) and Aitken's (or Bell's) triangle (A011971).at n=31A095674
- Triangle T, read by rows, such that the matrix cube shifts T one place diagonally left and upward, with T(n, 0) = T(n, n) = 1 for n>=0.at n=57A096744
- a(n) = 2*(n^3 + n^2 + n - 1).at n=16A155120
- Triangle T(n,m) read by rows, [A(x)]^m = Sum_{n>=m} T(n,m)*x^n, where A(x) satisfies A(x) = x/(1-A(x)-A(x)^2).at n=37A188111
- Number of ways to place n nonattacking composite pieces queen + rider[2,3] on an n X n chessboard.at n=15A189876
- Square roots of numbers in A238334.at n=43A238335
- Least positive integer k such that prime(k*n) has the form p^2 - 2 with p prime, or 0 if no such k exists.at n=40A253257
- Number of 3-generalized Motzkin paths of length n with no level steps H=(3,0) at odd level.at n=18A257389
- Integers m such that A006218(m) is triangular.at n=37A263457
- Let v = list of denominators of Farey series of order n (see A006843); a(n) = sum of products of adjacent terms of v.at n=15A278046
- a(n) = prime(n)*prime(n+1) + prime(n+2).at n=23A292926
- Number of nXn 0..1 arrays with every element unequal to 0, 1, 2, 4, 5 or 6 king-move adjacent elements, with upper left element zero.at n=4A305636
- Number of nX5 0..1 arrays with every element unequal to 0, 1, 2, 4, 5 or 6 king-move adjacent elements, with upper left element zero.at n=4A305639
- T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 4, 5 or 6 king-move adjacent elements, with upper left element zero.at n=40A305642
- a(n) = Sum_{k=0..n} 2^(n-k) * floor(k/4).at n=16A368346
- Difference between the primorial base exp-function and the arithmetic derivative.at n=55A373849