2441
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
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2442
- 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
- 2440
- Möbius Function
- -1
- Radical
- 2441
- 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
- 362
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes with 6 as smallest primitive root.at n=21A001125
- Where the prime race among 7k+1, ..., 7k+6 changes leader.at n=22A007354
- Primes p == 1 (mod 8), p = a^2 +64*b^2 such that y^2 = x^3 + p*x has rank 0.at n=7A007765
- Expansion of e.g.f.: exp(x + sin(x)).at n=9A009282
- Coordination sequence T4 for Zeolite Code VET.at n=30A009905
- Primes p == 1 mod 8 such that 2 and -2 are both 4th powers (one implies other) mod p.at n=40A014754
- Expansion of 1/(1 - x^10 - x^11 - x^12 - x^13 - x^14 - x^15 - x^16).at n=68A017892
- Numbers k such that the continued fraction for sqrt(k) has period 31.at n=6A020370
- Least inverse of A001390, or 0 if no inverse exists.at n=17A020638
- Place where n-th 1 occurs in A023117.at n=46A022779
- Primes that remain prime through 2 iterations of function f(x) = 7x + 6.at n=32A023259
- Primes that remain prime through 2 iterations of function f(x) = 10x + 9.at n=45A023270
- Convolution of A023532 and A001950.at n=47A023603
- a(n) = least m such that if r and s in {1/1, 1/4, 1/7, ..., 1/(3n-2)} satisfy r < s, then r < k/m < (k+1)/m < s for some integer k.at n=22A024836
- a(n) = [ 2nd elementary symmetric function of {log(k)} ], k = 2,3,...,n.at n=26A025202
- Primes p such that p+1 is palindromic.at n=19A028981
- Palindromic primes in base 16 (or hexadecimal), but written here in base 10.at n=26A029732
- Smallest prime containing n-th square as substring.at n=21A029948
- Primes which when concatenated with next 3 primes are also prime.at n=26A030472
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 3.at n=33A031416