4817
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4818
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 4816
- Möbius Function
- -1
- Radical
- 4817
- Omega Function (Ω)
- 1
- 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
- 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
- 121
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 649
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/4.at n=32A001134
- Number of symmetry sites in all planted 1,3-trees with 2n nodes.at n=12A007135
- Primes p == 1 (mod 8), p = a^2 +64*b^2 such that y^2 = x^3 + p*x has rank 0.at n=23A007765
- Coordination sequence T1 for Zeolite Code APD.at n=46A008034
- Coordination sequence T2 for Zeolite Code MFI.at n=44A008165
- Generalized Fibonacci numbers.at n=5A015454
- Numbers k such that the continued fraction for sqrt(k) has period 33.at n=16A020372
- Discriminants of quintic fields with 4 complex conjugates.at n=24A023685
- Lower prime of a pair of consecutive primes having a difference of 14.at n=25A031932
- Primes of the form x^2+74*y^2.at n=30A033248
- Positive numbers having the same set of digits in base 5 and base 8.at n=33A037431
- Position reached by frog in A038029. A038026(A038029(n)).at n=34A038031
- Coordination sequence T3 for Zeolite Code SFF.at n=46A038433
- Numbers whose base-5 representation contains exactly three 2's and two 3's.at n=14A045276
- Number of cubic residues mod 7^n.at n=5A046635
- Least prime in A031932 (lesser of 14-twins) whose distance to the next 14-twin is 6*n.at n=9A052356
- Numbers n such that (6^n + 1)/7 is a prime.at n=9A057172
- Primes p such that x^43 = 2 has no solution mod p.at n=14A059243
- Primes p such that x^24 = 2 has no solution mod p, but x^12 = 2 has a solution mod p.at n=27A059331
- Prime(n) and prime(n+3) use the same digits.at n=7A069795