17748
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 49140
- Proper Divisor Sum (Aliquot Sum)
- 31392
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5376
- Möbius Function
- 0
- Radical
- 2958
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 4
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
- 22
- 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
- Coefficient of x^5 in expansion of (1 + x + x^2)^n.at n=14A000574
- a(n) = number of (s(0), s(1), ..., s(2n)) such that s(i) is a nonnegative integer and |s(i) - s(i-1)| = 1 for i = 1,2,...,n, s(0) = 2, s(2n) = 8. Also a(n) = T(2n,n-3), where T is the array defined in A026009.at n=6A026015
- a(n) = binomial(3*n,n) - binomial(3*n,n-3).at n=6A026019
- Longest edge a of smallest (measured by the longest edge) primitive Euler bricks (a, b, c, sqrt(a^2 + b^2), sqrt(b^2 + c^2), sqrt(a^2 + c^2) are integers).at n=26A031173
- McKay-Thompson series of class 36D for the Monster simple group.at n=45A058647
- Roman numerals for n evaluated as if in Sallows' base 27.at n=11A073427
- a(n) = 3*n^3 + n^2 - 4*n.at n=18A083127
- Consider triangle in which n-th row contains the smallest set of n consecutive numbers whose LCM is divisible by primorial(n) (the product of first n primes). Sequence contains the first column.at n=18A083130
- Expansion of b(q^3)b(q^2)^2/(b(q)b(q^6)^2) in powers of q where b(q) is a cubic AGM function.at n=44A122831
- Expansion of chi(-q^3) / chi^3(-q) in powers of q where chi() is a Ramanujan theta function.at n=22A128128
- Sums of two or more distinct 4th powers of primes.at n=24A130833
- Expansion of f(q, q^2) * f(-q^3) / f(-q^2)^2 in powers of q where f(, ), f() are Ramanujan theta functions.at n=44A132180
- Expansion of chi(q)^3 / chi(q^3) in powers of q where chi() is a Ramanujan theta function.at n=44A132972
- Sum of fourth powers of four consecutive primes.at n=1A133526
- Sum of the fourth powers of the first n odd primes.at n=3A133549
- Numbers such that the digital sum base 2 and the digital sum base 3 and the digital sum base 4 all are equal.at n=4A135122
- Expansion of b(q) / b(q^2) in powers of q where b() is a cubic AGM theta function.at n=44A141094
- Averages of twin primes of the form : i^2+j^2, as sum of two squares.at n=32A143793
- a(n) is the smallest positive number such that a(n)*n is an anagram of a(n)*6.at n=45A175695
- McKay-Thompson series of class 36D for the Monster group with a(0) = 2.at n=45A186964