4663
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
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4664
- 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
- 4662
- Möbius Function
- -1
- Radical
- 4663
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 108
- 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
- 631
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/6.at n=32A001136
- Number of n-celled polyominoes with holes.at n=11A001419
- Coordination sequence T1 for Zeolite Code MTN.at n=41A008186
- Numbers k such that the continued fraction for sqrt(k) has period 76.at n=3A020415
- a(n)-th nonsquarefree is sum of first k nonsquarefrees for some k.at n=45A020644
- Primes that remain prime through 2 iterations of function f(x) = 3x + 8.at n=44A023248
- Primes that remain prime through 2 iterations of the function f(x) = 8*x + 5.at n=37A023262
- Primes that remain prime through 2 iterations of function f(x) = 8x + 9.at n=32A023264
- Primes that remain prime through 3 iterations of function f(x) = 4x + 9.at n=18A023282
- Primes that remain prime through 3 iterations of function f(x) = 8x + 5.at n=9A023293
- Primes that remain prime through 4 iterations of function f(x) = 4x + 9.at n=3A023312
- a(n) = T(n,1) + T(n-1,2) + ...+ T(n-k+1,k), where k = floor((n+1)/2) and T is the array defined in A026098.at n=28A026103
- Primes p such that p+1 is palindromic.at n=22A028981
- Primes p such that digits of p appear in p^2 and p^3.at n=27A030085
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 67.at n=17A031565
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 36 ones.at n=13A031804
- Lower prime of a difference of 10 between consecutive primes.at n=62A031928
- a(n) = a(n-1) + prime(n-1), with a(1)=2.at n=48A036439
- Primes of the form 666*n + 1.at n=2A037029
- Numbers whose maximal base-6 run length is 4.at n=29A037987