6444
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 16380
- Proper Divisor Sum (Aliquot Sum)
- 9936
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2136
- Möbius Function
- 0
- Radical
- 1074
- Omega Function (Ω)
- 5
- 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
- 23
- 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 factorization patterns of polynomials of degree n over F_4.at n=18A006169
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 40.at n=36A031538
- a(n) = C(n+2,3) + 2*C(n,2) + 2*(n-2).at n=30A034857
- Numbers n such that there are equal numbers of 0's and 1's in first n digits of binary representation of Pi.at n=18A039624
- Numbers having three 4's in base 10.at n=32A043507
- Digits composite, each digit minus 1 is prime, sum of digits minus 1 is prime, difference of digits (in absolute value) minus 1 is prime.at n=24A058229
- Smallest multiple of the n-th prime such that the n-th partial sum is divisible by n.at n=40A074105
- For each pair of twin primes (p,p+2) take the absolute value of the difference between p and p with digits reversed.at n=42A088489
- 5-almost primes with semiprime digits (digits 4, 6, 9 only).at n=7A111697
- Triangle read by rows: T(n,k) is the number of binary sequences of length n containing k subsequences 0110 (n,k >= 0).at n=37A118890
- Number of binary sequences of length n containing exactly one subsequence 0110.at n=14A118892
- Sums of three consecutive pentagonal numbers.at n=37A129863
- Smallest number whose n-th power begins with precisely n identical digits (in base ten).at n=4A131699
- a(n) = smallest number k such that the decimal expansion of k^n begins with a string of at least n identical digits.at n=4A132392
- Numbers n that raised to the powers from 1 to k (with k>=1) are multiple of the sum of their digits (n raised to k+1 must not be a multiple). Case k=6.at n=31A135191
- Square spiral of sums of selected preceding terms, starting at 1.at n=35A141481
- Triangle T(n,k)= binomial(n + k,n) + binomial(2*n-k,n) read by rows.at n=37A171824
- Triangle T(n,k)= binomial(n + k,n) + binomial(2*n-k,n) read by rows.at n=43A171824
- Number of 5-step S, NW and NE-moving king's tours on an n X n board summed over all starting positions.at n=11A187379
- Number of (n+1) X 7 0..1 arrays with the number of rightwards and downwards edge increases in each 2 X 2 subblock equal to the number in all its horizontal and vertical neighbors.at n=6A206265