17208
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 46800
- Proper Divisor Sum (Aliquot Sum)
- 29592
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5712
- Möbius Function
- 0
- Radical
- 1434
- Omega Function (Ω)
- 6
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 110
- 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-7 representation contains exactly four 1's.at n=34A043400
- Numbers k such that A000010(k) divides A074639(k).at n=49A074645
- a(1) = 4, a(n+1) is the largest composite number < 2a(n).at n=13A076995
- Numbers n such that the number formed by the digits of 2n sorted in ascending order is equal to the sum of the divisors of n after the digits of each divisor have been sorted in ascending order.at n=4A083387
- Average of twin prime pairs with multiple and strictly distinct powers.at n=23A177426
- Number of acute triangles, distinct up to congruence, on an n X n grid (or geoboard).at n=23A190021
- Number of 2 X 2 matrices having all elements in {-n,...n} and determinant 5.at n=38A209990
- Number of 4-divided binary words of length n.at n=14A210321
- Number of (w,x,y,z) with all terms in {0,...,n} and at least one of these conditions holds: w<R, x>R, y>R, z>R, where R = max{w,x,y,z} - min{w,x,y,z}.at n=11A212754
- A sequence giving the solution to the problem of identifying two complementary defectives.at n=22A239915
- Number of compositions of n with difference 4 between the number of odd parts and the number of even parts, both counted without multiplicity.at n=9A242844
- Numbers n with property that A062234(n) = A062234(n+1) = A062234(n+2) = A062234(n+3).at n=11A257892
- Numbers m with m-1, m+1 and prime(m)+2 all prime.at n=36A259539
- Number of square plane partitions of n with distinct row sums and distinct column sums.at n=35A306320
- Consider all 3 X 3 matrices M whose entries are the n-th to (n+8)-th primes prime(n), ..., prime(n+8), in any order. a(n) is the sum of the number of M such that det(M) is divisible by prime(n+i), for i from 0 to 8.at n=38A339105
- Averages k of twin primes such that the sum (with multiplicity) of prime factors of k-1, k and k+1 is prime.at n=35A340060
- Numbers that are the sum of four third powers in six or more ways.at n=12A345148
- Numbers that are the sum of four third powers in exactly six ways.at n=11A345149
- Triangle T(n,c) counting Motzkin Paths of length n with c sections starting with an up-step at level 0.at n=52A348869
- Numbers j such that the average of the first j+1 partition numbers (beginning with p(0)) is an integer.at n=10A391667