6363
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
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 10608
- Proper Divisor Sum (Aliquot Sum)
- 4245
- 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
- 3600
- Möbius Function
- 0
- Radical
- 2121
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 80
- 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
- no
- Odd
- yes
Appears in sequences
- Number of factorization patterns of polynomials of degree n over F_3.at n=19A006168
- n written in fractional base 9/6.at n=39A024654
- Number of subgroups of index n in fundamental group of a certain fiber space.at n=3A027846
- Lucky numbers that are concatenations of a number k with itself.at n=6A032650
- Number of partitions of n such that cn(0,5) = cn(2,5) < cn(3,5) = cn(4,5) <= cn(1,5).at n=59A036854
- Sum of reciprocals of digits = 1.at n=35A037268
- Odd numbers with exactly 4 palindromic prime factors (counted with multiplicity).at n=39A046374
- Position of first occurrence of 2^n in A057923.at n=19A057925
- Position at which 2^n occurs in A057926, or -1 if it does not occur.at n=20A057928
- a(n)/n^2 is the minimal average squared Euclidean distance of n points to their center of gravity among all configurations of n points on the hexagonal lattice.at n=35A059518
- Harmonic mean of digits is 4.at n=37A062182
- Numbers k such that the sum of digits of k^k is a square.at n=45A066236
- Number of heptagonal regions in regular n-gon with all diagonals drawn.at n=56A067154
- Convolution of this sequence with its binomial transform equals the second iteration of the binomial transform upon this sequence.at n=6A090364
- Triangle of generalized Stirling numbers of the first kind.at n=49A094645
- Numbers n such that 9*10^n + 8*R_n - 1 is prime, where R_n = 11...1 is the repunit (A002275) of length n.at n=13A103109
- Inverse of a generalized Stirling number triangle of first kind.at n=60A105794
- Numbers k such that 4440011 * 10^k - 1 is prime.at n=7A106808
- a(1) = 1, a(n) = sum of n successive primes beginning with n if n is prime otherwise a(n) = sum of n successive composite numbers beginning with n.at n=42A110343
- Indices n such that the 3 X 3 matrix with components (row by row) prime(n+k), 0 <= k <= 8, has zero determinant.at n=9A117345