10116
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 25662
- Proper Divisor Sum (Aliquot Sum)
- 15546
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3360
- Möbius Function
- 0
- Radical
- 1686
- Omega Function (Ω)
- 5
- 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
- 73
- 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
- a(n) = round(n*phi^14), where phi is the golden ratio, A001622.at n=12A004949
- a(n) = ceiling(n*phi^14), where phi is the golden ratio, A001622.at n=12A004969
- Numbers k such that k | 8^k + 8.at n=23A015897
- Least m such that if r and s in {1/1, 1/3, 1/6,..., 1/C(n+1,2)} satisfy r < s, then r < k/m < s for some integer k.at n=37A024826
- Let F(x) = 1 + 1*x + 4*x^2 + 10*x^3 + ..., the g.f. for A000293 (solid partitions), and write F(x) = 1/Product_{n>=1} (1 - x^n)^a(n).at n=25A037452
- 18-gonal (or octadecagonal) numbers: a(n) = n*(8*n-7).at n=36A051870
- Values of m, the main key or generating number for Pythagorean triangles in which S (the odd short leg) and U (the hypotenuse) are twin primes.at n=35A051891
- Integer part of square root of n-th Fibonacci number.at n=40A061287
- Centered 17-gonal numbers: (17*n^2 - 17*n + 2)/2.at n=34A069130
- Sum of terms in n-th row of A077164.at n=21A077167
- E.g.f. exp(x)*BesselI(2,2*sqrt(2)*x)/2.at n=9A098521
- a(n) = round(sqrt(Fibonacci(n))).at n=40A100665
- Expansion of x*(x^3+2*x^2+3*x-1)/(x+1)^5.at n=16A119515
- a(n) = (n^3 + 18*n^2 + 17*n + 6)/6.at n=34A143058
- a(n) = 289n + 1.at n=34A158255
- Record differences for n^2 - phi(n)*sigma(n).at n=28A164876
- Number of (1,1)-steps in all weighted lattice paths in L_n.at n=11A182881
- Number of 5-step one space at a time bishop's tours on an n X n board summed over all starting positions.at n=12A187158
- G.f. satisfies: A(x) = H(x*A(x)) where H(x) = A(x/H(x)) is the theta series of planar hexagonal lattice A_2 (A004016).at n=5A200378
- Numbers which may represent a date in "condensed European notation" DDMMYY.at n=16A213182