2843
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
- 2844
- 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
- 2842
- Möbius Function
- -1
- Radical
- 2843
- 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
- 172
- 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
- 413
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- From relations between Siegel theta series.at n=34A006476
- Coordination sequence T1 for Zeolite Code AFY.at n=44A008029
- Coordination sequence T8 for Zeolite Code MFI.at n=34A008171
- Coordination sequence T2 for Zeolite Code NES.at n=34A008206
- Coordination sequence T4 for Zeolite Code NES.at n=34A008208
- Seven iterations of Reverse and Add are needed to reach a palindrome.at n=35A015986
- Primes that remain prime through 2 iterations of the function f(x) = 2x + 7.at n=33A023244
- Primes that remain prime through 2 iterations of function f(x) = 9x + 2.at n=42A023265
- a(n) = sum of the numbers between the two n's in A026366.at n=27A026369
- Palindromic primes in base 16 (or hexadecimal), but written here in base 10.at n=29A029732
- Primes with property that when squared all even digits occur together and all odd digits occur together.at n=30A030480
- 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 53.at n=3A031551
- a(n) = prime(10*n-7).at n=41A031917
- Lower prime of a difference of 8 between consecutive primes.at n=37A031926
- Number of partitions of n into parts not of the form 19k, 19k+9 or 19k-9. Also number of partitions with at most 8 parts of size 1 and differences between parts at distance 8 are greater than 1.at n=28A035978
- Base 4 digits are, in order, the first n terms of the periodic sequence with initial period 2,3,0,1.at n=5A037744
- Primes p such that Ramanujan function tau(p) is divisible by 13.at n=24A038543
- Number of partitions satisfying cn(0,5) <= cn(1,5) + cn(4,5).at n=27A039839
- Primes of form abs(2*n^2-199).at n=35A039950
- Numbers k such that string 3,3 occurs in the base 8 representation of k but not of k-1.at n=44A044214