4813
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4814
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 4812
- Möbius Function
- -1
- Radical
- 4813
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 59
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 648
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Denominators of convergents to cube root of 2.at n=10A002351
- Numerators of convergents to cube root of 4.at n=11A002356
- a(n) = 3 + n/2 + 7*n^2/2.at n=37A006124
- Coordination sequence T8 for Zeolite Code EUO.at n=43A008103
- Coordination sequence T2 for Zeolite Code TON.at n=43A008242
- First n elements of Thue-Morse sequence A010059 read as a binary number.at n=12A019299
- Numbers k such that the continued fraction for sqrt(k) has period 33.at n=15A020372
- Numbers whose base-5 representation contains exactly three 2's and two 3's.at n=13A045276
- Largest number m with A046805(m) = n.at n=43A046806
- Primes of the form 2*n^2 + 11.at n=28A050265
- Primes p such that number of primes produced according to rules stipulated in Honaker's A048853 is 4.at n=13A050666
- Numbers n such that 295*2^n-1 is prime.at n=16A050906
- Expansion of g.f.: (1-2*x) / ((x-1)*(4*x^2+2*x-1)).at n=8A052899
- Primes p whose period of reciprocal equals (p-1)/6.at n=30A056211
- Numbers k such that k*2^m-1 is prime for exactly one exponent m in the range 0<=m<=k.at n=49A061157
- Prime(n) and prime(n+2) use the same digits.at n=6A069794
- Primes p such that the number of distinct prime divisors of all composite numbers between p and the next prime is 8.at n=34A075588
- Expansion of (1 - sqrt( 1 - 4*x*sqrt( 1 + 4*x )) )/( 2*x ).at n=7A081698
- Continued fraction expansion of common logarithm of 7 = log_10 7.at n=7A082571
- Primes p such that the p-1 digits of the binary expansion of k/p (for k=1,2,3,...,p-1) fit into the k-th row of a magic square grid of order p-1.at n=7A096339