2389
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2390
- 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
- 2388
- Möbius Function
- -1
- Radical
- 2389
- 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
- 27
- 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
- 355
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = ceiling(n*phi^11), where phi is the golden ratio, A001622.at n=12A004966
- Positions of remoteness 3 in Beans-Don't-Talk.at n=25A005695
- Coordination sequence T4 for Zeolite Code BRE.at n=32A008061
- Coordination sequence T1 for Zeolite Code DOH.at n=30A008078
- Coordination sequence T3 for Zeolite Code EPI.at n=31A008092
- Coordination sequence T1 for Zeolite Code MEP.at n=29A008157
- Expansion of 1/((1-x)(1-6x)(1-10x)).at n=3A016246
- Numbers k such that the continued fraction for sqrt(k) has period 89.at n=0A020428
- Ordered sequence of distinct terms of the form floor(x^i * floor(x^j)), i,j >= 0, where x = sqrt(7).at n=22A022771
- a(n) = [ a(n-1)/a(1) + a(n-1)/a(2) + ... + a(n-1)/a(n-1) ] for n >= 3, with initial terms 1,2.at n=11A022861
- a(n) = [ a(n-1)/a(1) + a(n-1)/a(2) + ... + a(n-1)/a(n-1) ] for n >= 3, with initial terms 2,2.at n=12A022867
- n-th prime p(k) such that p(k) + p(k+9) = p(k+3) + p(k+6).at n=28A022893
- Number of partitions of n into 7 unordered relatively prime parts.at n=32A023027
- Primes that remain prime through 2 iterations of function f(x) = 7x + 6.at n=31A023259
- Primes that remain prime through 3 iterations of function f(x) = 7x + 6.at n=5A023290
- a(n) = [ 2nd elementary symmetric function of {sqrt(k)} ], k = 1,2,...,n.at n=20A025193
- Friedlander-Iwaniec primes: Primes of form a^2 + b^4.at n=46A028916
- Convolution of Thue-Morse sequence A001285 with A008578 = {1, primes}.at n=30A029896
- 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=32A031416
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 38 ones.at n=3A031806