4967
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4968
- 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
- 4966
- Möbius Function
- -1
- Radical
- 4967
- 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
- 165
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 664
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of partitions of n, with three kinds of 1 and 2 and two kinds of 3,4,5,....at n=12A000714
- Number of partitions of n in which no part occurs just once.at n=49A007690
- Twelve iterations of Reverse and Add are needed to reach a palindrome.at n=32A015993
- Initial members of prime triples (p, p+2, p+6).at n=40A022004
- Primes that remain prime through 2 iterations of the function f(x) = 2x + 7.at n=45A023244
- Primes that remain prime through 2 iterations of function f(x) = 6x + 1.at n=41A023256
- 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 69.at n=20A031567
- Primes of form x^2 + 94*y^2.at n=38A033204
- 3*n^2-2*n+6.at n=41A047915
- Partition numbers rounded to nearest integer given by the Hardy-Ramanujan approximate formula.at n=28A050811
- Primes at which the difference pattern X24Y (X and Y >= 6) occurs in A001223.at n=14A052163
- Numbers n such that n^2 contains exactly 8 different digits.at n=23A054036
- Prime number spiral (clockwise, East spoke).at n=13A054555
- Numbers which need 12 'Reverse and Add' steps to reach a palindrome.at n=32A065217
- Primes containing 2k digits in which the sum of the first k digits is that of the last k digits.at n=25A068896
- a(n) = A051201(n^2).at n=32A078163
- a(n) is the n-th prime that ends with prime(n), or 0 if there do not exist n primes ending with prime(n).at n=18A089778
- Primes whose base-17 expansion is a (valid) decimal expansion of a prime.at n=31A090713
- Primes which are also prime if their base 31 representation is interpreted as a base 10 number.at n=27A090715
- Primes congruent to 3 mod 17.at n=43A092074