4913
domain: N
Properties
Digital Properties
- Digit Count
- 4
- 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
- 5220
- Proper Divisor Sum (Aliquot Sum)
- 307
- 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
- 4624
- Möbius Function
- 0
- Radical
- 17
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 1
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
- yes
- 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
- 134
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- yes
- Achilles Number
- no
- Perfect Power
- yes
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- The cubes: a(n) = n^3.at n=17A000578
- Powers of 17: a(n) = 17^n.at n=3A001026
- Discriminants of totally real quartic fields (see comments).at n=16A002769
- Sum of cubes of primes dividing n.at n=16A005064
- Sum of cubes of odd primes dividing n.at n=33A005067
- Sum of cubes of odd primes dividing n.at n=16A005067
- Sum of cubes of primes = 2 mod 3 dividing n.at n=16A005076
- Sum of cubes of primes = 2 mod 3 dividing n.at n=50A005076
- Sum of cubes of primes = 1 mod 4 dividing n.at n=16A005080
- Sum of cubes of primes = 1 mod 4 dividing n.at n=67A005080
- Sum of cubes of primes = 1 mod 4 dividing n.at n=50A005080
- Sum of cubes of primes = 1 mod 4 dividing n.at n=33A005080
- Expansion of (1+x^2) / ( (1-x)^2 * (1-x^3)^2 ).at n=48A006501
- a(n) = n OR n^3 (applied to binary expansions).at n=16A008468
- a(n) = n OR n^3 (applied to ternary expansions).at n=16A008469
- Expansion of e.g.f. log(1+x)/cos(tan(x)).at n=7A009427
- a(n) = 17^(2*n + 1).at n=1A013722
- a(n) = 17^(4*n+3).at n=0A013807
- a(n) = 17^(5*n + 3).at n=0A013884
- Numbers k that divide s(k), where s(1)=1, s(j)=18*s(j-1)+j.at n=46A014868