4734
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
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 10296
- Proper Divisor Sum (Aliquot Sum)
- 5562
- 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
- 1572
- Möbius Function
- 0
- Radical
- 1578
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 90
- 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 points on surface of tricapped prism: a(n) = 7*n^2 + 2 for n > 0, a(0)=1.at n=26A005919
- a(0) = 1, a(n) = 28*n^2 + 2 for n>0.at n=13A010018
- Numbers k such that the continued fraction for sqrt(k) has period 44.at n=39A020383
- Number of partitions satisfying cn(0,5) + cn(2,5) <= 1 and cn(0,5) + cn(3,5) <= 1.at n=43A039851
- Denominators of continued fraction convergents to sqrt(854).at n=5A042649
- Coordination sequence T2 for Zeolite Code AEN.at n=43A047951
- Restricted partitions.at n=19A049285
- Numbers which are the sum of their proper divisors containing the digit 7.at n=4A059466
- Number of polyiamonds with n cells that tile the plane by translation or by 180-degree rotation (Conway criterion).at n=13A075221
- a(n) = (C(2p,p)-2) / p^3, where p = prime(n).at n=3A087754
- a(n) = prime(n) + prime(n^2).at n=24A092504
- Numbers k such that k^2+1 and (k+2)^2+1 are both prime; twin k^2+1 primes.at n=44A096012
- 4th diagonal of triangle in A059317.at n=29A106058
- Expansion of 1/(1+9*x*c(x)), where c(x) = g.f. for Catalan numbers A000108.at n=4A127053
- Numbers m such that m^2+1 is prime and m^2-7 = prevprime(m^2) (= A007917(m^2)).at n=35A157934
- Number of lines through at least 2 points of an 8 X n grid of points.at n=18A160848
- Number of n-digit numbers in a cycle (including fixed points) under the base-8 Kaprekar map A165090.at n=55A165104
- Number of strings of numbers x(i=1..n) in 0..2 with sum i*x(i)^2 equal to n*4.at n=14A184434
- Smallest k>=0 such that (3^n-k)*2^n-1 and (3^n-k)*2^n+1 are a twin prime pair.at n=32A214497
- Number of distinct values taken by 9th derivative of x^x^...^x (with n x's and parentheses inserted in all possible ways) at x=1.at n=11A216062