17502
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 35016
- Proper Divisor Sum (Aliquot Sum)
- 17514
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 5832
- Möbius Function
- -1
- Radical
- 17502
- Omega Function (Ω)
- 3
- 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
- 53
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- a(0) = 1, a(n) = 28*n^2 + 2 for n>0.at n=25A010018
- Number of ordered quadruples of integers from [ 2,n ] with no common factors between triples.at n=27A015639
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 88.at n=29A031586
- Multiplicity of highest weight (or singular) vectors associated with character chi_117 of Monster module.at n=39A034505
- Starting positions of strings of three 7's in the decimal expansion of Pi.at n=17A083631
- Maximum sum of products of successive pairs in a permutation of order n+1.at n=36A101986
- Positive integers n such that S(n) divides n, where S(n) is the sum of the iterates of the Euler phi-function of n, that is, S(n) = phi(n)+phi(phi(n))+....+ 1.at n=46A113808
- a(n) = Sum_{k=1..n} binomial(n,k)*sigma(k).at n=10A185003
- Monotonic ordering of set S generated by these rules: if x and y are in S then floor(x*y/2) is in S, and 5 is in S.at n=35A192520
- Numbers k such that phi(k-6) = phi(k) = phi(k+6).at n=24A217006
- Number of partitions of n having population standard deviation > 1.at n=35A238619
- Total number of I shapes in all tilings of a 5 X n rectangle with pentominoes of any shape.at n=6A247736
- Numbers n which are both happy (A007770) and bihappy (A257795) numbers.at n=28A257950
- a(n) = Sum_{k=1..n} k^2*sigma(k), where sigma is A000203.at n=13A319086
- a(n) = Sum_{k=1..n} k^2 * tau(k)^2, where tau is A000005.at n=14A320897
- G.f.: Sum_{n>=0} (x^(n+1) + i)^n / (1 + i*x^n)^(n+1), in which the constant term is taken to be 1.at n=46A323690
- Numbers m such that the sum of the first m primes as well as the sum of the squares and the sum of the cubes of the first m primes are all prime.at n=3A329539