2939
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2940
- 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
- 2938
- Möbius Function
- -1
- Radical
- 2939
- 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
- 79
- 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
- 424
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Expansion of 1/(1 - 3*x + x^2)^2.at n=6A001871
- Smallest prime p==3 (mod 8) such that Q(sqrt(-p)) has class number 2n+1.at n=14A002148
- Lucasian primes: p == 3 (mod 4) with 2*p+1 prime.at n=42A002515
- Rotatable partitions.at n=36A002722
- a(n) = n^3 + n^2 - 1.at n=13A003777
- Worst cases for Pierce expansions (denominators).at n=19A006538
- Coordination sequence T1 for Zeolite Code YUG.at n=35A008247
- Coordination sequence T1 for Coesite.at n=29A008267
- Coordination sequence T3 for Zeolite Code ZON.at n=38A009921
- (n,3,2) difference families over Z_n.at n=17A011992
- Odd primes such that (3p+1)/2 and 3p+4 are also prime.at n=29A014223
- Numbers k such that the continued fraction for sqrt(k) has period 42.at n=28A020381
- Smallest nonempty set S containing prime divisors of 7k+6 for each k in S.at n=46A020611
- a(n) = a(n-1) + a(n-2) + 1, with a(0) = 0 and a(1) = 11.at n=13A022316
- Primes that remain prime through 2 iterations of the function f(x) = 3*x + 2.at n=33A023246
- Primes that remain prime through 3 iterations of function f(x) = 3x + 2.at n=5A023277
- Primes that remain prime through 3 iterations of function f(x) = 10x + 9.at n=17A023301
- Primes that remain prime through 4 iterations of function f(x) = 10x + 9.at n=4A023329
- Generalized Catalan Numbers x^3*A(x)^2 -(1-x+x^3+x^4)*A(x) + 1 =0.at n=17A023433
- Right-truncatable primes: every prefix is prime.at n=31A024770