8545
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10260
- Proper Divisor Sum (Aliquot Sum)
- 1715
- 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
- 6832
- Möbius Function
- 1
- Radical
- 8545
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 127
- Smith Number
- yes
- 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 n-stacks with strictly receding walls, or the number of Type A partitions of n in the sense of Auluck (1951).at n=36A001522
- Values of Ehrhart polynomial of dilation by 2 of Relaxed Boolean Quadric Polytope of order 3.at n=4A007772
- Numbers k such that the continued fraction for sqrt(k) has period 9.at n=44A010339
- Length of n-th string generated by a Kolakoski(7,1) rule starting with a(1)=1.at n=11A095343
- Number of magical labelings of the octahedral graph of magic sum n.at n=8A125198
- Number of 2 X 2 tiles in all tilings of a 4 X n rectangle with 1 X 1 and 2 X 2 square tiles.at n=8A128102
- Numbers k such that continued fraction of (1 + sqrt(k))/2 has period 11.at n=33A146335
- a(n) = prime(n)*a(n-1) - a(n-2).at n=6A146887
- Number of partitions where the number of 1's and 2's are equal.at n=44A174455
- Number of ordered triples (w,x,y) with all terms in {1,...,n} and w^4<x^4+y^4.at n=23A211652
- Minimum value unattainable as the sum of 6 attained values of i^2 with i in 0..n.at n=40A225279
- Expansion of 1/(1 - x^4 - x^5 - x^6 - x^7 - x^8 + x^12).at n=39A225501
- Partial sums of A160239.at n=38A245542
- Number of words of length n over the alphabet {0,1,...,10} such that no two consecutive terms have distance 1.at n=4A287832
- a(n) is the number of labeled rooted unordered binary trees T where the nodes are labeled with distinct positive integers, the root has label n, each parent label equals the sum of its children labels, and T cannot be extended.at n=28A348850