3017
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 3456
- Proper Divisor Sum (Aliquot Sum)
- 439
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2580
- Möbius Function
- 1
- Radical
- 3017
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 40
- 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
- Numbers k such that 4!*(2k-5)!/(k!*(k-1)!) is an integer.at n=24A004784
- 5!(2n-6)!/n!(n-1)! is an integer.at n=29A004785
- Number of polynomial symmetric functions of matrix of order n under separate row and column permutations.at n=8A007716
- Coordination sequence T1 for Zeolite Code MAZ.at n=38A008144
- Triangle of Mahonian numbers T(n,k): coefficients in expansion of Product_{i=0..n-1} (1 + x + ... + x^i), where k ranges from 0 to A000217(n-1). Also enumerates permutations by their major index.at n=74A008302
- Triangle of Mahonian numbers T(n,k): coefficients in expansion of Product_{i=0..n-1} (1 + x + ... + x^i), where k ranges from 0 to A000217(n-1). Also enumerates permutations by their major index.at n=80A008302
- E.g.f. exp(sin(x)*exp(x)).at n=7A009212
- Coordination sequence T4 for Zeolite Code CGF.at n=38A019454
- Numbers k such that the continued fraction for sqrt(k) has period 34.at n=34A020373
- Numbers k such that Fib(k) == 13 (mod k).at n=20A023178
- Discriminants of quintic fields with 4 complex conjugates.at n=8A023685
- a(n) = position of n^3 + 9 in A003072.at n=29A024971
- Numbers k > 1 such that k mod ord2(k) is even, where ord2(k) is the order of 2 mod k.at n=1A036260
- a(n)=(s(n)+5)/9, where s(n)=n-th base 9 palindrome that starts with 4.at n=31A043075
- Numbers n such that string 2,2 occurs in the base 9 representation of n but not of n-1.at n=37A044271
- Numbers n such that string 1,7 occurs in the base 10 representation of n but not of n-1.at n=33A044349
- Numbers n such that string 2,2 occurs in the base 9 representation of n but not of n+1.at n=37A044652
- Numbers n such that string 1,7 occurs in the base 10 representation of n but not of n+1.at n=33A044730
- a(1) = 6; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=28A046256
- a(n) = 2^(n-1)*(9*n-16) + 9.at n=7A048502