17540
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 36876
- Proper Divisor Sum (Aliquot Sum)
- 19336
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7008
- Möbius Function
- 0
- Radical
- 8770
- Omega Function (Ω)
- 4
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 141
- 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
- Numbers whose base-4 representation has exactly 8 runs.at n=27A043599
- Numbers n such that number of runs in the base 4 representation of n is congruent to 0 mod 8.at n=27A043850
- Numbers n such that number of runs in the base 4 representation of n is congruent to 8 mod 9.at n=27A043866
- Numbers k such that number of runs in the base 4 representation of k is congruent to 8 mod 10.at n=27A043875
- Numbers which are the sum of their proper divisors containing the digit 8.at n=14A059467
- Number of 2 X 2 matrices with elements from {0,1,2,...,n} and with Nim-Determinant 1. (The Nim-Determinant of the 2 X 2 matrix [a,b; c,d] is defined to be a*d xor b*c, where * denotes Nim-Multiplication.)at n=42A059954
- Triangle, read by rows, where e.g.f. A(x,y) satisfies: A(x,y) = exp(x*y*A(x,y+1)) and A(x,y) = Sum_{n>=0} Sum_{k>=0} T(n,k)/n!*x^n*y^k.at n=17A096542
- Minimal peaks in digital expansions of Pi: positions of peaks equal to 1.at n=15A105275
- a(1) = 3, a(2) = 4. a(n) = (largest composite which occurs earlier in sequence) + (largest prime which occurs earlier in sequence).at n=30A120365
- a(n)=a(n-1)+2*a(n-2)-[a(n-1)/2]-[a(n-4)/2]-[a(n-5)/2].at n=21A173534
- Number of right triangles on a (n+1) X 4 grid.at n=34A189808
- Number of cyclotomic cosets of 9 mod 10^n.at n=33A220020
- Sums of Pythagorean sextuples in increasing order: The sums of sets of six natural numbers which correspond to the lengths of the edges of a tetrahedron whose four faces are all different Pythagorean triangles.at n=30A248548
- Number of nX6 binary arrays with rows and columns lexicographically nondecreasing and row and column sums nonincreasing.at n=10A266545
- Number of edges in a figure made up of a row of n adjacent congruent rectangles upon drawing diagonals of all possible rectangles.at n=14A331757
- Expansion of Sum_{k>0} x^(2*k)/(1 - k*x^k)^2.at n=26A363641
- Consecutive states of the linear congruential pseudo-random number generator (1291*s + 4621) mod 21870 when started at s=1.at n=19A385337