17153
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
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 18180
- Proper Divisor Sum (Aliquot Sum)
- 1027
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 16128
- Möbius Function
- 1
- Radical
- 17153
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 66
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) is the concatenation of n and 9n.at n=16A009474
- Strong pseudoprimes to base 62.at n=22A020288
- Number of partitions of n with equal nonzero number of parts congruent to each of 1, 2 and 3 (mod 4).at n=60A046781
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 15.at n=20A051980
- Integers i > 1 for which there is no prime p such that i is a solution mod p of x^4 = 2.at n=31A065903
- Smallest multiple of n beginning with n and having a digit sum n, or 0 if no such number exists.at n=16A077727
- Numbers k such that (k / sum of digits of k) and (k+1 / sum of digits of k+1) are both prime.at n=20A085775
- Poincaré series [or Poincare series] (or Molien series) for a certain four-fold wreath product P_4.at n=49A091434
- Number of partitions of n with exactly one prime number.at n=45A132381
- a(1)=0, a(n) = n^3 - a(n-1).at n=31A153026
- Number of (n+2) X 4 0..2 arrays with every 3 X 3 subblock commuting with each horizontal and vertical neighbor 3 X 3 subblock.at n=10A186561
- a(n) = (2^n+3)^2-8.at n=7A188129
- Smallest k<3*2^n such that 3*2^n+k is the smallest of four consecutive primes in arithmetic progression or 0 if no solution.at n=47A230852
- Numbers k where k^2 is an anagram of (k+2)^2.at n=8A261749
- Numbers k such that (16*10^k + 161)/3 is prime.at n=27A273265
- The number of vertices in a 4-pointed star formed by the straight line segments mutually connecting all vertices and all points that divide the sides into n equal parts.at n=3A338003
- Numbers with sum of digits equaling 17, divisible by 17, and containing the string "17".at n=2A346904
- Number of integer partitions of n with different mean, median, and mode.at n=40A363720
- a(n) = Sum_{i=1..n} Sum_{j=1..n} Sum_{k=1..n} phi(i*j*k) / phi(j*k).at n=13A372663