5820
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 16464
- Proper Divisor Sum (Aliquot Sum)
- 10644
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1536
- Möbius Function
- 0
- Radical
- 2910
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 142
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Expansion of (psi(-x) / phi(-x))^5 in powers of x where phi(), psi() are Ramanujan theta functions.at n=8A001939
- Coordination sequence for FeS2-Pyrite, Fe position.at n=35A009957
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite LTN = Linde Type N Na384[Al384Si384O1536].518H2O starting with a T1 atom.at n=5A019036
- Least m such that if r and s in {1/1, 1/4, 1/9,..., 1/n^2} satisfy r < s, then r < k/m < s for some integer k.at n=25A024827
- 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 38.at n=35A031536
- Numbers whose set of base-11 digits is {1,4}.at n=26A032823
- 23-gonal numbers: a(n) = n(21n-19)/2.at n=24A051875
- a(n) = Sum_{k=1..n} lcm(k,n)/gcd(k,n).at n=22A056789
- Sum of squares of entries of Wilkinson's eigenvalue test matrix of order 2n+1.at n=20A059834
- Triangle of coefficients of di-Boustrophedon transform (see A063179) read by rows: Let the original sequence be (U0,U1,...) and the transformed sequence (V0,V2,...), then Vn is a linear combination of U0,...,Un. T(n,m) is the coefficient that goes with Um to get Vn.at n=37A063415
- Centered 23-gonal numbers.at n=22A069174
- Records in the Conway's alimentary function A070871.at n=40A070926
- Smallest integer > 1 which is both n-gonal and centered n-gonal.at n=20A072277
- Expansion of (1-x)^(-1)/(1 - 2*x - x^2 - x^3).at n=9A077849
- Sum of terms in row n of A081520.at n=22A081519
- Diagonal sums of number array A082043.at n=11A082045
- Number of positive numbers m such that A073642(m) = n.at n=48A087135
- Generalized Stirling2 array (6,2).at n=22A091746
- Least number k such that k! in binary representation contains a run of exactly n consecutive nontrivial zeros.at n=25A094010
- Unicode codes for the lunation runes, used in certain medieval Scandinavian perpetual calendar staves as golden numbers 1-19.at n=6A098476