4492
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 7868
- Proper Divisor Sum (Aliquot Sum)
- 3376
- 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
- 2244
- Möbius Function
- 0
- Radical
- 2246
- 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
- Number of 2-colored patterns on an n X n board.at n=8A002619
- Coordination sequence T4 for Zeolite Code DDR.at n=42A008074
- Number of immersions of the unoriented circle into the oriented plane with n double points.at n=6A008981
- Number of immersions of the oriented circle into the unoriented plane with n double points.at n=6A008982
- Coordination sequence T2 for Zeolite Code RUT.at n=44A009898
- Pseudoprimes to base 33.at n=19A020161
- Numbers k such that the continued fraction for sqrt(k) has period 64.at n=15A020403
- a(n) = Sum_{k=0..2n-1} T(n,k) * T(n,k+1), with T given by A027082.at n=4A027110
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 28 ones.at n=38A031796
- Numbers whose base-4 representation has exactly 7 runs.at n=33A043598
- Numbers n such that number of runs in the base 4 representation of n is congruent to 0 mod 7.at n=33A043843
- Numbers n such that number of runs in the base 4 representation of n is congruent to 7 mod 8.at n=33A043857
- Numbers n such that number of runs in the base 4 representation of n is congruent to 7 mod 9.at n=33A043865
- Numbers k such that the number of runs in the base-4 representation of k is congruent to 7 (mod 10).at n=33A043874
- Numbers k such that k and k-1 both have 6 divisors.at n=45A049104
- Numbers k such that 285*2^k-1 is prime.at n=32A050901
- McKay-Thompson series of class 30D for Monster.at n=29A058615
- Integers n > 196 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 196.at n=33A063049
- Start with x, y; then concatenate each word in turn with all preceding words, getting x y xy xxy yxy xxxy yxxy xyxxy ...; sequence gives number of words of length n. Also binary trees by degree: x y (x,y) (x,(x,y)) (y,(x,y)) (x,(x,(x,y))) (y,(x,(x,y))) ((x,y),(x,(x,y)))...at n=10A063894
- Floor(n^3/8).at n=33A081276