8986
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 31
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 13482
- Proper Divisor Sum (Aliquot Sum)
- 4496
- 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
- 4492
- Möbius Function
- 1
- Radical
- 8986
- 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
- 47
- 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
- yes
- Odd
- no
Appears in sequences
- Numbers that are the sum of 5 positive 6th powers.at n=41A003361
- Numbers k such that the continued fraction for sqrt(k) has period 55.at n=10A020394
- Expansion of 1/((1-x)(1-7x)(1-9x)(1-12x)).at n=3A024443
- Triangle T(n,m) = Sum_{k=0..m} Catalan(n-k)*Catalan(k).at n=50A028364
- Concatenate rows of triangle in A028364 (removing duplicates).at n=42A028378
- McKay-Thompson series of class 15C for Monster.at n=15A058510
- Catalan triangle A028364 with row reversion.at n=49A067323
- Fifth column of triangle A067323.at n=5A067326
- Number of threshold functions on n X n grid.at n=11A114146
- Duplicate of A114146.at n=11A115027
- Sixth column of triangle A028364.at n=4A116869
- a(n) is the smallest integer such that 1/a(1)^2 + 1/a(2)^2 + ... + 1/a(n-1)^2 + 1/a(n)^2 is less than e.at n=10A123560
- McKay-Thompson series of class 15C for the Monster group with a(0) = 3.at n=15A153084
- a(n) = 4*n^2 + 28*n + 10.at n=43A153644
- Expansion of 1/(1 - x - x^4 + x^6).at n=56A174522
- Number of nondecreasing arrangements of 10 numbers in 0..n with the last equal to n and each after the second equal to the sum of one or two of the preceding four.at n=25A189333
- Number of nX3 0..2 arrays with exactly floor(nX3/2) elements equal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..2 order.at n=3A222886
- Number of nX4 0..2 arrays with exactly floor(nX4/2) elements equal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..2 order.at n=2A222887
- T(n,k)=Number of nXk 0..2 arrays with exactly floor(nXk/2) elements equal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..2 order.at n=17A222889
- T(n,k)=Number of nXk 0..2 arrays with exactly floor(nXk/2) elements equal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..2 order.at n=18A222889