2411
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2412
- 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
- 2410
- Möbius Function
- -1
- Radical
- 2411
- 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
- 164
- 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
- 358
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Let A(n) = #{(i,j,k): i^2 + j^2 + k^2 <= n}, V(n) = (4/3)Pi*n^(3/2), P(n) = A(n) - V(n); A000092 gives values of n where |P(n)| sets a new record; sequence gives (nearest integer to, I believe) P(A000092(n)).at n=44A000223
- Primes with 6 as smallest primitive root.at n=20A001125
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/5.at n=7A001135
- Smallest prime > n^2.at n=48A007491
- Primes p such that Ramanujan number tau(p) is divisible by p.at n=4A007659
- Coordination sequence T2 for Zeolite Code AET.at n=34A008008
- a(n) is prime and sum of all primes <= a(n) is prime.at n=39A013917
- Odd primes such that (3p+1)/2 and 3p+4 are also prime.at n=24A014223
- Coordination sequence T7 for Zeolite Code TER.at n=33A016439
- Place where n-th 1 occurs in A023119.at n=42A022781
- Primes that remain prime through 2 iterations of function f(x) = 8x + 1.at n=11A023260
- Primes that remain prime through 2 iterations of function f(x) = 9x + 2.at n=35A023265
- Primes that remain prime through 3 iterations of function f(x) = 9x + 2.at n=10A023296
- Expansion of Product_{k>=1} (1 - x^k)^(-k^4).at n=5A023873
- Primes such that in p^2 the parity of digits alternates.at n=29A030145
- a(n) = prime(9*n - 2).at n=39A031383
- a(n) = prime(10*n - 2).at n=35A031384
- 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=1A031547
- Upper prime of a difference of 12 between consecutive primes.at n=22A031931
- Primes of form x^2+95*y^2.at n=16A033206