17024
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 40800
- Proper Divisor Sum (Aliquot Sum)
- 23776
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6912
- Möbius Function
- 0
- Radical
- 266
- Omega Function (Ω)
- 9
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 35
- 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 that are the sum of 6 positive 7th powers.at n=33A003373
- Expansion of e.g.f. cosh(x*log(1+x)).at n=8A009136
- Positive numbers k such that k and 4*k are anagrams in base 8 (written in base 8).at n=22A023075
- Number of 10's in all partitions of n.at n=44A024794
- a(n) = dot_product(1,2,...,n)*(4,5,...,n,1,2,3).at n=34A026040
- 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 65.at n=29A031563
- Sum of digits of first 10^n primes.at n=3A058196
- Coefficient triangle of polynomials (rising powers) related to Pell number convolutions. Companion triangle is A058403.at n=7A058402
- Coefficient triangle of polynomials (falling powers) related to Pell number convolutions. Companion triangle is A058405.at n=8A058404
- From solution to a counting problem.at n=10A059775
- Numbers k > 1 such that, in base 8, k and k^2 contain the same digits in the same proportion.at n=19A061662
- a(n) = prime(n)^2 - prime(n+1).at n=31A062235
- Stirling2 triangle with scaled diagonals (powers of 8).at n=33A075503
- Sixth column of triangle A075503.at n=2A076006
- Sum of divisors of numbers containing in their decimal representation only the digits 0 and 1.at n=20A077810
- a(n) = Sum_{k=1..n} H(k) k! (n-k)!, where H(k) is the k-th harmonic number.at n=6A091530
- Intersection of A108027, A108028, A108029 and A108030.at n=8A108109
- Number of binary rooted trees with n nodes and internal path length n.at n=45A108643
- Triangular matrix T, read by rows, that satisfies: SHIFT_LEFT(column 0 of T^p) = p*(column p+4 of T), or [T^p](m,0) = p*T(p+m,p+4) for all m>=1 and p>=-4.at n=39A111553
- Column 3 of triangle A111553.at n=5A111556