8450
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 17019
- Proper Divisor Sum (Aliquot Sum)
- 8569
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3120
- Möbius Function
- 0
- Radical
- 130
- Omega Function (Ω)
- 5
- 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
- 57
- 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
- 2nd power of rooted tree enumerator; number of linear forests of 2 rooted trees.at n=10A000106
- Absolute value of Glaisher's beta'(2n+1).at n=47A002291
- a(n) = 10000*log_10(n) rounded down.at n=6A004228
- a(n) = n*(n+1)^2/2.at n=25A006002
- Numbers k such that the continued fraction for sqrt(k) has period 13.at n=43A020352
- a(n) = n*(27*n + 1)/2.at n=25A022285
- Numbers that are the sum of 2 nonzero squares in exactly 5 ways.at n=1A025288
- Numbers that are the sum of 2 nonzero squares in 5 or more ways.at n=2A025296
- Number of partitions of n with equal number of parts congruent to each of 0, 1 and 4 (mod 5).at n=56A035574
- Number of partitions satisfying cn(0,5) + cn(2,5) <= cn(1,5) and cn(0,5) + cn(2,5) <= cn(4,5) and cn(0,5) + cn(3,5) <= cn(1,5) and cn(0,5) + cn(3,5) <= cn(4,5).at n=43A039883
- Base-8 palindromes that start with 2.at n=22A043022
- Numbers k that divide 9^k + 7^k.at n=16A045605
- Coefficients of the '6th-order' mock theta function sigma(q).at n=51A053271
- Number of basic blocks of size 5xn for tilings with square tiles of size up to 5 X 5.at n=13A054858
- Numbers k such that the numerator of Sum_{d|k} 1/d > 2k.at n=34A069057
- Maximum number of regions into which the plane can be divided using n (concave) quadrilaterals.at n=33A077591
- Solution to the non-squashing boxes problem (version 2).at n=26A089055
- Numbers n that are the hypotenuse of exactly 12 distinct integer-sided right triangles, i.e., n^2 can be written as a sum of two squares in 12 ways.at n=2A097226
- Maximal number of regions obtained by a straight line drawing of the complete bipartite graph K_{n,n}.at n=13A117717
- A106486-encodings for the minimal representatives of each equivalence class of the finite combinatorial games.at n=42A126011