4468
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
- 5
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 7826
- Proper Divisor Sum (Aliquot Sum)
- 3358
- 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
- 2232
- Möbius Function
- 0
- Radical
- 2234
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- 46
- 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
- If x and y are terms, so is x*y + 9.at n=27A009350
- Coordination sequence T1 for Zeolite Code VNI.at n=41A009907
- Numbers k such that the continued fraction for sqrt(k) has period 82.at n=6A020421
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 32 ones.at n=24A031800
- Numbers whose base-4 representation contains exactly two 0's and four 1's.at n=35A045027
- Number of isolated-pentagon (IPR) fullerenes with 2n vertices (or carbon atoms).at n=27A046880
- Values of n such that 90n+11, 90n+13, 90n+17, 90n+19 are all primes.at n=25A051897
- a(n) is the least k in A002977 with a gap of n. Also n + a(n) is the least k in A007448 which is repeated n times.at n=10A058361
- McKay-Thompson series of class 44A for Monster.at n=45A058679
- a(n) = prime(n) + n^3 + n^2 + 4n - 1.at n=15A060822
- Expansion of Product_{k>=1} (1 + A001055(k)*x^k).at n=34A066816
- Expansion of 1/((1-x)*(1+x+x^2+2*x^3)).at n=32A077909
- Numbers k such that k! + k# - 1 is prime, where k# is the primorial function A034386(k).at n=21A081711
- G.f.: 1/((1-x)^2*(1-x^2)*(1-x^4)*(1-x^8)*(1-x^16)).at n=41A088954
- G.f.: (1+x^5+x^7+x^8+x^10+x^15)/((1-x^2)(1-x^3)(1-x^4)(1-x^6)^2(1-x^9)).at n=51A089599
- Records in A105822.at n=41A104664
- Let r be the matrix {{1,1},{0,1}} and b={{1,0},{1,0}}. Let A be the semigroup generated by r and b. a(n) is the number of words of length n in A.at n=30A121946
- Number of base 6 circular n-digit numbers with adjacent digits differing by 1 or less.at n=8A124699
- Expansion of 1/(x^k*(1-x-3*x^(k+1))) for k=6.at n=22A143457
- Partial sums of round(n^2/8).at n=47A173722