10876
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 19040
- Proper Divisor Sum (Aliquot Sum)
- 8164
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5436
- Möbius Function
- 0
- Radical
- 5438
- Omega Function (Ω)
- 3
- 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
- 68
- 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/((1-5x)(1-7x)(1-8x)(1-12x)).at n=3A028183
- [ exp(10/13)*n! ].at n=6A030924
- Consider the Diophantine equation x^3 + y^3 = z^3 + 1 (1 < x < y < z) or 'Fermat near misses'. Arrange solutions by increasing values of z (see A050791). Sequence gives values of x.at n=20A050792
- Number of winning length n strings with a 4-symbol alphabet in "same game".at n=9A065237
- Type D Eulerian triangle.at n=24A066094
- Sum of the first n primes whose indices are primes.at n=33A083186
- Number of binary trees of path length n.at n=30A095830
- A Jacobsthal convolution.at n=15A113726
- Number of binary strings of length n with no substrings equal to 0000, 0101, or 1111.at n=17A164437
- Partial sums of A024785.at n=40A173060
- Number of isomorphism classes of nanocones with 3 pentagons and a symmetric boundary of length n.at n=45A197988
- a(n) = 25*n*(n + 1)/2 + 1.at n=29A262221
- Expansion of (1/(1 - x)) * Sum_{k>=1} x^(k*(2*k-1)) / Product_{j=1..2*k-1} (1 - x^j).at n=47A318156
- Counterexamples to a conjecture of Ramanujan about congruences related to the partition function.at n=18A340757
- a(n) is the least base in which the Fibonacci number A000045(n) is a palindrome.at n=36A372754
- Expansion of 1/(g^2 * (2 - g^2)), where g = 1+x*g^2 is the g.f. of A000108.at n=7A391513