10773
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
- 20
- Divisor Sum
- 19360
- Proper Divisor Sum (Aliquot Sum)
- 8587
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5832
- Möbius Function
- 0
- Radical
- 399
- Omega Function (Ω)
- 6
- 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
- no
- Odd
- yes
Appears in sequences
- Apply partial sum operator thrice to Fibonacci numbers.at n=15A014162
- Numbers k that divide s(k), where s(1)=1, s(j)=7*s(j-1)+j.at n=43A014854
- Numbers k such that k divides 4^k - 1.at n=43A014945
- a(n) = T(2n+1, n+2), T given by A027935.at n=7A027942
- Odd numbers divisible by exactly 6 primes (counted with multiplicity).at n=35A046319
- Numbers whose 4th power can be expressed as the sum of two positive cubes in more than one way.at n=7A051388
- Numbers which are sums of two and also sums of three positive cubes.at n=22A085336
- Numbers which are sums of two, three and four cubes.at n=12A085337
- Numbers which are sums of two, three, four and also sums of five cubes.at n=11A085338
- Numbers which are the sum of two positive cubes and divisible by 19.at n=28A102619
- Numbers n such that googol - n is prime.at n=38A108251
- Numbers k for which nontrivial positive magic squares of exactly 9 different orders with magic sum k exist. For a definition of nontrivial positive magic squares, see A125005.at n=12A125016
- Numerators of expansion of exp(1-sqrt(1-3*x)).at n=5A144525
- a(n) = 3*n*(5*n-1)/2.at n=37A167469
- Numbers k whose sum of digits equals the period of 1/k.at n=30A178495
- Number of partitions of n containing a clique of size 7.at n=40A183564
- Triangular array: the fusion of (x+1)^n and (x+2)^n; see Comments for the definition of fusion.at n=41A193722
- Mirror of the fusion triangle A193722.at n=39A193723
- Triangle read by rows: T(n,k) = n^4 + (n*k)^2 + k^4, 1 <= k <= n.at n=41A219069
- Numbers that can be expressed as the sum of three nonnegative cubes in three ways.at n=5A219329