17017
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 24192
- Proper Divisor Sum (Aliquot Sum)
- 7175
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11520
- Möbius Function
- 1
- Radical
- 17017
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 128
- 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
- no
- Odd
- yes
Appears in sequences
- Fibonomial Catalan numbers.at n=5A003150
- Expansion of 1/((1-3*x)*(1-4*x)*(1-9*x)).at n=4A016909
- Positive numbers k such that k and 4*k are anagrams in base 9 (written in base 9).at n=20A023081
- Numbers k such that k divides the (left) concatenation of all numbers <= k written in base 12 (most significant digit on right and removing all least significant zeros before concatenation).at n=7A029529
- Number of distributive lattices; also number of paths with n turns when light is reflected from 10 glass plates.at n=5A030114
- a(n) = f(n,4) where f is given in A034261.at n=10A034264
- Denominator of density of integers with smallest prime factor prime(n).at n=6A038111
- a(1)=10; if n = Product p_i^e_i, n > 1, then a(n) = Product p_{i+1}^e_i * Product p_{i+3}^e_i.at n=34A045973
- Products of 4 successive primes.at n=3A046302
- Denominator of Sum_{k=0..n} 1/binomial(n,k).at n=17A046826
- Maximal value of products of partitions of n into powers of distinct primes (powers of 1 and 2 excluded).at n=48A051704
- Partial sums of A051797.at n=10A051878
- Expansion of g.f.: (1+4*x)/(1-x)^7.at n=9A051946
- Expansion of (1+6x)/(1-x)^10.at n=6A055994
- a(n) = prime(n)*prime(n+1)*...*prime(2*n-1), where prime(i) is the i-th prime.at n=4A060381
- Denominator of 1*2*4*6*...*(prime(n-1)-1) / (2*3*5*7*...*prime(n-1)).at n=7A060753
- Numbers n of the form k + reverse(k) for exactly two k.at n=34A072040
- a(n) = numerator(n!/phi(n!)).at n=17A076358
- a(n) = numerator(n!/phi(n!)).at n=16A076358
- n repeated in decimal representation, but separated by enough zeros that the square has the pattern (n^2)(2n^2)(n^2).at n=16A077431