10926
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 23712
- Proper Divisor Sum (Aliquot Sum)
- 12786
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3636
- Möbius Function
- 0
- Radical
- 3642
- 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
- 117
- 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
- Apply partial sum operator twice to Fibonacci numbers.at n=17A001924
- Cluster series for diamond.at n=9A003212
- a(n) = T(2*n, n+1), T given by A027935.at n=8A027937
- Number of points in N^n of norm <= 2.at n=23A055417
- Numbers k such that k^512 + 1 is prime.at n=31A057465
- Solution to the Dancing School Problem with n girls and n+2 boys: f(n,2).at n=15A079921
- Expansion of (1+4x+x^2-10x^3)/((1-x)(1-x-2x^2)).at n=12A093380
- a(n) = (15*n^2 + 5*n + 2)/2.at n=37A093500
- Number of binary strings of length n with equal numbers of 00011 and 11000 substrings.at n=14A164233
- Table read by antidiagonals: T(n, k) is the k-th number with n-1 odd-power summands in its base 2 representation.at n=52A165275
- a(0)=1, a(n)= 2+2^n/6+4*(-1)^n/3, n>0.at n=16A173197
- Numbers k such that k^3 +-7 are primes.at n=34A176685
- Sequence defined by the recurrence formula a(n+1)=sum(a(p)*a(n-p)+k,p=0..n)+l for n>=1, with here a(0)=1, a(1)=2, k=0 and l=-2.at n=9A176754
- Central element of a series of 5 successive nonsquarefree numbers.at n=5A188296
- Number of n X 2 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,0,1,1,1 for x=0,1,2,3,4.at n=11A197274
- Number of 2 X 2 matrices having all terms in {1,...,n} and determinant >n.at n=12A211060
- prime(n^3) - prime(n).at n=10A214612
- a(0)=1, a(n) = a(n-1) + a(2*n AND n), where AND is the bitwise AND operator.at n=43A215488
- Number of n X 1 0..3 arrays with no element equal to zero plus the sum of elements to its left or zero plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4.at n=21A239851
- Intersection of A269315 and A269314.at n=41A269316