10106
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 15744
- Proper Divisor Sum (Aliquot Sum)
- 5638
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4860
- Möbius Function
- -1
- Radical
- 10106
- Omega Function (Ω)
- 3
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 179
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = n*(21*n + 1)/2.at n=31A022279
- Numbers whose base-10 representation has exactly 5 runs.at n=5A043641
- Diagonal sums of correlation triangle for (1+x)^3/(1-x).at n=45A115294
- Sums of three consecutive heptagonal numbers.at n=36A129111
- Numbers k such that k and k^2 use only the digits 0, 1, 2, 3 and 6.at n=39A136812
- a(n) = (11*n^2 + 19*n + 10)/2.at n=42A160749
- a(n) = 5*n^2 + 20*n + 1.at n=43A162316
- Coefficient of x in the reduction by (x^2->x+1) of the polynomial p(n,x) defined below at Comments.at n=13A192923
- Number of n X 3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 1,3,0,2,4 for x=0,1,2,3,4.at n=7A196317
- T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 1,3,0,2,4 for x=0,1,2,3,4.at n=47A196322
- T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 1,3,0,2,4 for x=0,1,2,3,4.at n=52A196322
- T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 1,4,0,2,3 for x=0,1,2,3,4.at n=47A196343
- T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 1,4,0,2,3 for x=0,1,2,3,4.at n=52A196343
- Numbers which may represent a date in "condensed European notation" DDMMYY.at n=6A213182
- Numbers which may represent a date in "condensed American notation" MMDDYY.at n=6A213184
- Numbers n such that A234519(n) = n.at n=44A234524
- Number of simple connected graphs with n nodes that have no subgraph isomorphic to the open-bowtie graph or the bull graph.at n=9A243795
- The integer part of the surface area of the 4-dimensional sphere of radius n.at n=7A261791
- Positions of 2's in A264977; positions of 3's in A277330.at n=40A277712
- G.f. A(x) satisfies: A(x) = (1 + x) * A(x^2)*A(x^3)*A(x^5)* ... *A(x^prime(k))* ...at n=45A308272