2593
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
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2594
- 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
- 2592
- Möbius Function
- -1
- Radical
- 2593
- 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
- 40
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 378
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of n-node rooted trees of height 8.at n=13A000429
- Primes p of the form 3k+1 such that sum_{x=1..p} cos(2*Pi*x^3/p) < -sqrt(p).at n=36A000923
- Primes with 7 as smallest primitive root.at n=24A001126
- The coding-theoretic function A(n,4,4).at n=37A001843
- a(n) = least primitive factor of 2^(2n+1) - 1.at n=40A002184
- Primes of the form 2^q*3^r*5^s + 1.at n=43A002200
- Class 1- (or Pierpont) primes: primes of the form 2^t*3^u + 1.at n=21A005109
- Primes p such that (p+1)/2 is prime.at n=40A005383
- Prime self (or Colombian) numbers: primes not expressible as the sum of an integer and its digit sum.at n=39A006378
- From relations between Siegel theta series.at n=28A006476
- Numerators of expansion of exp x / sin x.at n=13A007418
- Primes p == 1 (mod 8), p = a^2 + 64*b^2 such that y^2 = x^3 + p*x has rank 2.at n=34A007766
- Coordination sequence T1 for Zeolite Code ERI and OFF.at n=37A008093
- a(n) = prime(n*(n+1)/2).at n=26A011756
- (2n+1,3,9) difference families over Z_{2n+1}.at n=3A011999
- a(n) = floor( Gamma(n+2/3) ).at n=7A014512
- Primes p == 1 mod 8 such that 2 and -2 are both 4th powers (one implies other) mod p.at n=42A014754
- 3 and -3 are both 4th powers (one implies other) mod these primes p=1 mod 8.at n=17A014755
- Numbers k such that the continued fraction for sqrt(k) has period 57.at n=2A020396
- Least inverse of A001390, or 0 if no inverse exists.at n=34A020638