2423
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2424
- 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
- 2422
- Möbius Function
- -1
- Radical
- 2423
- 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
- 71
- 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
- 360
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that phi(2k-1) < phi(2k), where phi is Euler's totient function A000010.at n=36A001836
- Coordination sequence T5 for Zeolite Code PAU.at n=36A008223
- Powers of fourth root of 11 rounded down.at n=13A018075
- Numbers k such that the continued fraction for sqrt(k) has period 36.at n=28A020375
- Primes that remain prime through 2 iterations of function f(x) = 10x + 9.at n=43A023270
- Primes that remain prime through 3 iterations of function f(x) = 10x + 9.at n=14A023301
- a(n) = position of n^2 + (n+1)^2 + (n+2)^2 in A004432.at n=30A024809
- Primes that are palindromic in base 5.at n=18A029973
- Primes such that in p^2 the parity of digits alternates.at n=30A030145
- Smallest nontrivial extension of n-th palindrome which is a prime.at n=32A030675
- a(n) = prime(8*n).at n=44A031341
- a(n) = prime(9*n).at n=39A031342
- a(n) = prime(10*n).at n=35A031343
- 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 49.at n=2A031547
- Lower prime of a pair of consecutive primes having a difference of 14.at n=12A031932
- First occurrence of n as a term in the continued fraction for zeta(3).at n=49A033165
- Primes of form x^2 + 23*y^2.at n=55A033217
- Primes that are sum of five consecutive primes.at n=43A034965
- Inverse binomial transform of A002054.at n=7A035045
- Primes p such that Ramanujan function tau(p) is divisible by 13.at n=21A038543