2267
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2268
- 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
- 2266
- Möbius Function
- -1
- Radical
- 2267
- 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
- 89
- 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
- 336
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Smallest prime p such that the product of q/(q-1) over the primes from prime(n) to p is greater than 2.at n=13A001275
- Squares written in base 9.at n=40A002442
- Number of achiral rooted trees.at n=18A003241
- a(n) = 3*n^2 + 3*n - 1.at n=27A004538
- Where the prime race among 7k+1, ..., 7k+6 changes leader.at n=21A007354
- Coordination sequence T2 for Zeolite Code AEI.at n=36A008002
- Sum along upward diagonal of Pascal triangle from (but not including) center.at n=20A010756
- Sum along upward diagonal of Pascal triangle from center.at n=20A010757
- Expansion of 1/(1-x^6-x^7-x^8-x^9-x^10-x^11-x^12-x^13-x^14-x^15).at n=41A017855
- Initial members of prime triples (p, p+2, p+6).at n=26A022004
- Primes that remain prime through 2 iterations of the function f(x) = 3*x + 2.at n=26A023246
- Primes that remain prime through 2 iterations of function f(x) = 9x + 8.at n=33A023267
- Primes that remain prime through 2 iterations of function f(x) = 10x + 9.at n=40A023270
- a(n) = T(n, 2*n-6), T given by A027926.at n=10A027929
- a(n) = T(2n+1, n+4), T given by A027935.at n=3A027944
- Numbers k that divide the (left) concatenation of all numbers <= k written in base 23 (most significant digit on left).at n=18A029492
- Numbers k such that k divides the (left) concatenation of all numbers <= k written in base 7 (most significant digit on right and removing all least significant zeros before concatenation).at n=7A029524
- a(n) = prime(8*n).at n=41A031341
- 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 47.at n=7A031545
- a(n) = prime(10*n - 4).at n=33A031905