5715
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 9984
- Proper Divisor Sum (Aliquot Sum)
- 4269
- 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
- 3024
- Möbius Function
- 0
- Radical
- 1905
- 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
- 173
- 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
- no
- Odd
- yes
Appears in sequences
- n written in fractional base 8/5.at n=45A024647
- a(n) = position of n^2 + (n+1)^2 + (n+2)^2 in A000408.at n=46A024802
- a(n) = A027113(n, n+3).at n=9A027116
- a(n) = A027113(n, 2n-9).at n=7A027127
- In A015922, not in A033553.at n=17A033554
- Convolution of natural numbers n >= 1 with Lucas numbers L(k)(A000032) for k >= 2.at n=12A033811
- Triangular array giving number of labeled graphs on n unisolated nodes and k=0...n*(n-1)/2 edges.at n=33A054548
- Numbers k such that k^16 == 1 (mod 17^3).at n=20A056088
- Triangle T(n,k) of number of minimal 2-covers of a labeled n-set that cover k points of that set uniquely (k=2,..,n).at n=42A057963
- Numbers beginning and ending with their multiplicative digital root.at n=29A064704
- Sum of divisors of twice square numbers.at n=37A065765
- Numbers n such that 6*10^n + 4*R_n + 5 is prime, where R_n = 11...1 is the repunit (A002275) of length n.at n=6A103037
- Multiples of 15 containing a 15 in their decimal representation.at n=29A121035
- a(n) = n-th prime * n-th nonprime.at n=30A127118
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (-1, 1, 1), (1, -1, 0), (1, 0, -1), (1, 0, 0)}.at n=8A148747
- a(n) = ((2^b-1)/phi(n))*Sum_{d|n} Moebius(n/d)*d^(b-1) for b = 4.at n=18A160892
- Number of ladders in all peakless Motzkin paths of length n (n>=0).at n=12A171854
- Numbers that are the product of two odd numbers x*y such that 2^x (mod y) = 2^y (mod x) = 2.at n=40A176970
- L.g.f.: Sum_{n>=1} a(n)*x^n/n = Sum_{n>=1} x^n/n * exp( Sum_{k>=1} sigma(n*k)*x^(n*k)/k ).at n=15A203321
- Sum of absolute values of real and imaginary parts of the coefficients in the expansion of 1 / (1 - x - 2*I*x^2), where I^2=-1.at n=15A218138