8873
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 9360
- Proper Divisor Sum (Aliquot Sum)
- 487
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8388
- Möbius Function
- 1
- Radical
- 8873
- Omega Function (Ω)
- 2
- 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
- 171
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- Number of partitions into non-integral powers.at n=17A000135
- Cube of the lower triangular normalized Eulerian number matrix.at n=6A027538
- First column of A027538.at n=3A027549
- a(1) = 3; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=44A033681
- Numbers n such that 295*2^n-1 is prime.at n=17A050906
- a(n) = Sum_{d|n} d*prime(d).at n=39A061150
- Semiprimes p1*p2 such that p2 > p1 and p2 mod p1 = 11.at n=31A064909
- Numbers n such that 2*prime(n) - prime(n+1) is a square.at n=42A110975
- Numbers k such that k*(k+2) gives the concatenation of two numbers m and m+1.at n=0A116295
- Numbers n such that n^3 is zeroless pandigital.at n=41A124628
- Exponentiation of A132841.at n=26A132842
- a(n) = A145812(2n-1).at n=47A145849
- Magic constants of 5 X 5 magic squares which consist of consecutive primes.at n=33A176571
- The non-common part of the larger number of an amicable pair.at n=12A180327
- G.f.: Sum_{n>=0} [Sum_{k=0..n} C(n,k)^2*x^k]^2 * x^n.at n=8A180717
- Number of (n+3) X 8 binary arrays with every 4 X 4 subblock commuting with each horizontal and vertical neighbor 4 X 4 subblock.at n=6A188101
- Number of (n+3)X10 binary arrays with every 4X4 subblock commuting with each horizontal and vertical neighbor 4X4 subblock.at n=4A188103
- Augmentation of the triangle A074909. See Comments.at n=39A193630
- If n <= 5 then a(n) = 1, if 6 <= n <= 8 then 2, if n = 9 or 10 then 3, if n = 11, 12 or 13 then n-7; otherwise a(n) = 2*a(n - 4) + a(n - 12).at n=49A239905
- Number of Carlitz compositions of n with exactly two descents.at n=15A241692