2339
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
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2340
- 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
- 2338
- Möbius Function
- -1
- Radical
- 2339
- 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
- 58
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 346
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Lucasian primes: p == 3 (mod 4) with 2*p+1 prime.at n=34A002515
- The generalized Conway-Guy sequence w^{3}.at n=13A006757
- Coordination sequence T1 for Zeolite Code EUO.at n=30A008095
- Coordination sequence T1 for Zeolite Code ATO.at n=32A008265
- Coordination sequence T1 for Zeolite Code RTE.at n=33A009890
- Twelve iterations of Reverse and Add are needed to reach a palindrome.at n=3A015993
- Numbers k such that the continued fraction for sqrt(k) has period 42.at n=18A020381
- Place where n-th 1 occurs in A023127.at n=43A022789
- n-th prime p(k) such that p(k) + p(k+9) = p(k+3) + p(k+6).at n=26A022893
- Primes that remain prime through 2 iterations of the function f(x) = 3*x + 2.at n=27A023246
- Primes that remain prime through 2 iterations of function f(x) = 8x + 7.at n=20A023263
- Primes that remain prime through 2 iterations of function f(x) = 9x + 10.at n=42A023268
- Primes that remain prime through 3 iterations of function f(x) = 3x + 2.at n=4A023277
- Primes that remain prime through 3 iterations of function f(x) = 5x + 6.at n=15A023285
- Right-truncatable primes: every prefix is prime.at n=28A024770
- Expansion of (x/(1-x))*sqrt((1+x)/(1-3*x)).at n=8A025577
- Primes such that in p^2 the parity of digits alternates.at n=27A030145
- 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=11A031545
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 18 ones.at n=41A031786
- a(n) = prime(10*n - 4).at n=34A031905