10884
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 25424
- Proper Divisor Sum (Aliquot Sum)
- 14540
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3624
- Möbius Function
- 0
- Radical
- 5442
- 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
- 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
- a(1) = 7; a(n+1) = a(n)-th nonprime, where nonprimes begin at 0.at n=34A025002
- Numbers having four 2's in base 6.at n=33A043380
- Numbers k such that k^18 == 1 (mod 19^3).at n=27A056089
- Numbers k such that k*prime(k) -+ 1 are twin primes.at n=38A085637
- Expansion of 1 / (chi(-x) * chi(-x^7)) in powers of x where chi() is a Ramanujan theta function.at n=54A093950
- Number of cycles of length 3 in the queen graph associated with an n X n chessboard.at n=12A144298
- Number of right triangles on a (n+1) X 4 grid.at n=26A189808
- Numbers k such that k and k^3 are sums of two twin primes.at n=11A213811
- Number of compositions c of n such that no three points (i,c_i), (j,c_j), (k,c_k) are collinear, where c_i denotes the i-th part.at n=20A238686
- Solutions x to the negative Pell equation y^2 = 72*x^2 - 332928 with x,y >= 0.at n=10A281235
- Solution of the complementary equation a(n) = 2*a(n-1) - a(n-2) + b(n-1) -1, where a(0) = 1, a(1) = 2, b(0) = 3, and (a(n)) and (b(n)) are increasing complementary sequences.at n=37A294867
- Numbers that are the sum of nine fourth powers in eight or more ways.at n=37A345592
- Numbers that are the sum of nine fourth powers in nine or more ways.at n=5A345593
- Numbers that are the sum of nine fourth powers in exactly nine ways.at n=4A345851
- Numbers that are the sum of ten fourth powers in exactly ten ways.at n=33A345862
- Even numbers that are both the sum of a twin prime pair and the sum of 1 and a prime.at n=39A349757