2467
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2468
- 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
- 2466
- Möbius Function
- -1
- Radical
- 2467
- 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
- 133
- 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
- 365
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of inequivalent Costas arrays of order n under dihedral group.at n=14A001441
- Numbers k such that phi(2k+1) < phi(2k).at n=32A001837
- From a Goldbach conjecture: records in A185091.at n=25A002092
- Number of solutions to a linear inequality.at n=44A002797
- Primes of form n^2 + n + 17.at n=37A007635
- Coordination sequence T1 for Zeolite Code AFY.at n=41A008029
- Coordination sequence T2 for Zeolite Code MTN.at n=30A008187
- Expansion of (1+x^8)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)).at n=55A008769
- Coordination sequence T1 for Zeolite Code DFO.at n=38A009875
- Number of triples of different integers from [ 2,n ] with no global factor.at n=26A015618
- Primes that remain prime through 2 iterations of the function f(x) = 5x + 8.at n=27A023255
- Primes with property that when squared all even digits occur together and all odd digits occur together.at n=26A030480
- 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=6A031547
- a(n) = prime(9*n - 4).at n=40A031904
- a(n) = prime(10*n - 5).at n=36A031910
- Upper prime of a difference of 8 between consecutive primes.at n=31A031927
- Exactly 5 digits from {1,2,3,4,5,6,7,8,9} can precede a(n) to form a prime.at n=24A032695
- Primes of form x^2+26*y^2.at n=26A033218
- Primes of form x^2+59*y^2.at n=15A033238
- Primes of form x^2+66*y^2.at n=19A033242