6259
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
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6840
- Proper Divisor Sum (Aliquot Sum)
- 581
- 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
- 5680
- Möbius Function
- 1
- Radical
- 6259
- 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
- 111
- Smith Number
- yes
- 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
- Number of partitions of n if there are two kinds of 1's and two kinds of 2's.at n=20A000097
- Numbers k such that the continued fraction for sqrt(k) has period 66.at n=25A020405
- Expansion of (1 -x -sqrt(1-2*x-11*x^2))/(6*x^2).at n=8A025237
- 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 79.at n=2A031577
- Number of partitions in parts not of the form 21k, 21k+3 or 21k-3. Also number of partitions with at most 2 parts of size 1 and differences between parts at distance 9 are greater than 1.at n=34A035981
- Total number of leaves (nodes of vertex degree 1) in all graphs of n nodes.at n=7A055540
- a(n+1) = a(n)-th composite and a(1) = 13.at n=27A059408
- Expansion of (1+x^2)*(1+x^5)/( Product_{j=1..7} (1-x^j) ).at n=32A060962
- Semiprimes p1*p2 such that p2 > p1 and p2 mod p1 = 8.at n=36A064906
- Numbers n such that n^3 is zeroless pandigital.at n=24A124628
- Expansion of 1/(1-x-x^2+x^9-x^11).at n=19A147660
- Expansion of Product_{k >= 0} (1 + A147954(k)*x^k).at n=27A147955
- Number of strings of n numbers x(i) in -7..7 with sums of x(i) and of x(i)*x(i+1) both zero.at n=5A183942
- Number of n-step three-sided prudent self-avoiding walks ending on the bottom side of their box.at n=10A191825
- Number of (w,x,y,z) with all terms in {1,...,n} and w+x=|x-y|+|y-z|.at n=23A212676
- Expansion of g.f. 1/ (1-x^1*(1-x^(m+1))/ (1-x^2*(1-x^(m+2))/ (1- ... ))) for m=9.at n=18A228645
- Number of black square subarrays of (n+1)X(4+1) binary arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors, with upper left element zero.at n=7A231068
- T(n,k)=Number of black square subarrays of (n+1)X(k+1) binary arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors, with upper left element zero.at n=58A231070
- Number of partitions of n where the difference between consecutive parts is at most 4.at n=34A238864
- Number of graphs with n nodes that are chordal and do not have a bowtie as a subgraph.at n=10A243797