1589
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 1824
- Proper Divisor Sum (Aliquot Sum)
- 235
- 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
- 1356
- Möbius Function
- 1
- Radical
- 1589
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 29
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers that are the sum of 7 positive 6th powers.at n=17A003363
- Smallest number that requires n iterations of the bi-unitary totient function (A116550) to reach 1.at n=29A005424
- Number of points on surface of square pyramid: 3*n^2 + 2 (n>0).at n=23A005918
- Odd numbers not of form p + 2^k (de Polignac numbers).at n=30A006285
- a(n) = a(n-1) + 2*a(n-2) + (-1)^n.at n=11A006904
- Coordination sequence T1 for Zeolite Code EPI.at n=25A008090
- Coordination sequence T1 for Zeolite Code CON.at n=28A009868
- Coordination sequence T2 for Zeolite Code iRON.at n=28A009882
- Number of ordered 5-tuples of integers from [ 1,n ] with no common factors among pairs.at n=21A015663
- Numbers n such that phi(n) | sigma_7(n).at n=44A015765
- Numbers k such that the continued fraction for sqrt(k) has period 44.at n=8A020383
- Fibonacci sequence beginning 3, 16.at n=11A022126
- Expansion of Product_{m>=1} (1+x^m)^7.at n=6A022572
- Triangle T by rows: second differences of Motzkin triangle (A026300), (i >= -1, -1<=j<=i).at n=63A026120
- a(n) = number of (s(0),s(1),...,s(n)) such that every s(i) is a nonnegative integer, s(0) = 1, s(n) = 2, |s(1) - s(0)| = 1, |s(i) - s(i-1)| <= 1 for i >= 2. Also a(n) = T(n,n-1), where T is the array in A026120; a(n) = U(n,n+1), where U is the array in A026148.at n=7A026123
- Irregular triangular array T read by rows: T(n,0) = 1 for i >= 0, T(1,1) = 1,T(2,1) = 1, T(2,2) = 2, T(2,3) = 1, T(2,4) = 1 and for n >= 3, T(n,1) = n-1, T(n,k) = T(n-1,k-2) + T(n-1,k-1) + T(n-1,k) for k=2,...,n+1, and T(n, k+2) = T(n-1, k) + T(n-1, k+1).at n=69A026148
- Number of achiral triangular n-ominoes (n-iamonds) (holes are allowed).at n=17A030223
- a(n) = floor(exp(19/24)*n!).at n=5A030800
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 20 ones.at n=13A031788
- Numbers k such that 255*2^k+1 is prime.at n=25A032504