5876
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 11172
- Proper Divisor Sum (Aliquot Sum)
- 5296
- 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
- 2688
- Möbius Function
- 0
- Radical
- 2938
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
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
- 49
- 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 1/(1-x)^2/(1-x^2)/(1-x^4)/(1-x^10)/(1-x^20).at n=47A001307
- Triangulations of the disk G_{n,1}.at n=6A002710
- a(n) = (n^3 + 2*n)/3.at n=26A006527
- Coordination sequence T2 for Zeolite Code NON.at n=46A008213
- Coordination sequence for alpha-Mn, Position Mn2.at n=20A009951
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite AFR = SAPO-40 [Si7Al29P28O128].4TPA.OH starting with a T4 atom.at n=5A018963
- a(n) = floor(2nd elementary symmetric function of Sum_{j=1..k} 1/j, k = 1,2,...,n).at n=32A025212
- (1/3)*s(n+3), where s = A025256.at n=9A025257
- Number of positive integers that are not the sum of distinct n-th-order polygonal numbers.at n=39A025524
- Every run of digits of n in base 3 has length 2.at n=23A033001
- Let (u1,u2) be successive untouchable numbers such that phi(u1) = phi(u2); sequence gives values of u2.at n=16A048190
- 20-gonal (or icosagonal) numbers: a(n) = n*(9*n-8).at n=26A051872
- T(n,3), array T as in A054126.at n=7A054129
- a(n) = A078153(2^n).at n=10A078158
- a(1) = 2, a(n) = a(n-1) + 3*(a(n-1)-floor(a(n-1)^(1/3))^3).at n=16A096295
- Riordan array (1, x*c(x)*c(-x*c(x))), c(x) the g.f. of A000108.at n=68A112519
- Numbers k such that 10^(2*k+1)-7*10^k-1 is prime.at n=9A115073
- Values of y in solutions (x,y,z) to the Diophantine equation x^3-x^2+y^3-y^2=z^3-z^2, with 1<x<y<z arranged in order of increasing x.at n=14A138668
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 0), (-1, 1, 0), (0, 0, -1), (1, 0, 1)}.at n=8A149235
- S(n) - the sum of the areas of the polygons constructed from connecting with a straight line all identical members in the multiplicative table modulo n (finite field).at n=20A157023