6396
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 16464
- Proper Divisor Sum (Aliquot Sum)
- 10068
- 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
- 1920
- Möbius Function
- 0
- Radical
- 3198
- 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
- 75
- 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) = floor( n*(n-1)*(n-2)/10 ).at n=41A011892
- a(n) = floor( n*(n-1)*(n-2)/26 ).at n=56A011908
- (d(n)-r(n))/5, where d = A026066 and r is the periodic sequence with fundamental period (0,3,1,0,1).at n=45A026068
- Numbers k such that 261*2^k+1 is prime.at n=46A032507
- Sum of the 4th powers of the divisors of n is divisible by n.at n=9A046764
- Let (u1,u2) be successive untouchable numbers such that phi(u1) = phi(u2); sequence gives values of u1.at n=19A048189
- "A sorry sequence".at n=7A058070
- Arithmetic derivative of (prime(n)+1)*(prime(n+1)+1)/4.at n=35A079094
- Product of prime(n+1)-1 and prime(n)-1.at n=21A083553
- Smallest multiple of the n-th prime such that every partial sum is a square.at n=12A085039
- Number of functions f:[n]->[n] such that f[(x*y) mod n]=[f(x)*f(y)] mod n for all x,y in [n], for n=1,2,3,... Here [n] denotes {0,1,2,...,n-1}.at n=39A117986
- a(n) = Sum_{1<=k<=n, gcd(k,n)=1}, A000217(k).at n=38A127415
- a(n) = (2*n)^2 - 4.at n=39A134582
- 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, 0), (1, 0, 0), (1, 1, 0), (1, 1, 1)}.at n=6A151235
- a(n) = 16*n^2 - 4.at n=19A158443
- G.f.: exp( Sum_{n>=1} A007837(n)*x^n/n ), where A007837(n) = number of partitions of n-set with distinct block sizes.at n=11A168268
- Number of reduced, normalized 3 X 3 semimagic squares with distinct nonnegative integer entries and maximum entry n.at n=40A173724
- Numbers k such that k^3 +-5 are primes.at n=28A176684
- Number of line segments connecting exactly 7 points in an n X n grid of points.at n=28A177723
- Number of 3 X 3 0..n arrays with positive determinant.at n=1A183040