2273
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2274
- 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
- 2272
- Möbius Function
- -1
- Radical
- 2273
- 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
- 138
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 338
- 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)/4.at n=16A001134
- Number of functional digraphs (digraphs of functions on n nodes where every node has outdegree 1 and loops of length 1 are forbidden).at n=10A001373
- Class numbers associated with terms of A001988.at n=19A001989
- Class 4+ primes (for definition see A005105).at n=40A005108
- Primes of form n^2 + n + 17.at n=36A007635
- Primes p == 1 (mod 8), p = a^2 + 64*b^2 such that y^2 = x^3 + p*x has rank 2.at n=30A007766
- Primes p == 1 mod 8 such that 2 and -2 are both 4th powers (one implies other) mod p.at n=37A014754
- Coordination sequence T3 for Zeolite Code CGF.at n=33A019453
- Coordination sequence T4 for Zeolite Code CGF.at n=33A019454
- Primes whose digits are primes; primes having only {2, 3, 5, 7} as digits.at n=24A019546
- Numbers k such that the continued fraction for sqrt(k) has period 19.at n=17A020358
- n-th prime p(k) such that p(k) + p(k+6) = p(k+2) + p(k+4).at n=38A022891
- Primes that remain prime through 2 iterations of function f(x) = 10x + 9.at n=41A023270
- a(n) = prime(10*n - 2).at n=33A031384
- a(n) = prime(9*n - 4).at n=37A031904
- a(n) = prime(8*n - 6).at n=42A031912
- Lower prime of a difference of 8 between consecutive primes.at n=30A031926
- Primes of form x^2+31*y^2.at n=50A033221
- Primes of form x^2+47*y^2.at n=30A033232
- Primes of form x^2+62*y^2.at n=19A033240