4217
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4218
- 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
- 4216
- Möbius Function
- -1
- Radical
- 4217
- 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
- 56
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 577
- 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=28A001134
- Numbers k such that 2*3^k + 1 is prime.at n=23A003306
- a(n) = 3*n^2 + 3*n - 1.at n=37A004538
- From relations between Siegel theta series.at n=51A006476
- Primes p == 1 (mod 8), p = a^2 +64*b^2 such that y^2 = x^3 + p*x has rank 0.at n=17A007765
- Numbers k such that the continued fraction for sqrt(k) has period 31.at n=19A020370
- Primes that remain prime through 2 iterations of the function f(x) = 5x + 4.at n=29A023253
- Primes that remain prime through 3 iterations of function f(x) = 6x + 5.at n=35A023288
- Primes that remain prime through 3 iterations of function f(x) = 9x + 4.at n=16A023297
- Primes of the form k^2 - 8.at n=16A028886
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 11.at n=4A031599
- Primes of form x^2+59*y^2.at n=25A033238
- Primes of form x^2+62*y^2.at n=33A033240
- Start of a string of exactly 3 consecutive (but disjoint) pairs of twin primes.at n=4A035791
- Coordination sequence T14 for Zeolite Code STT.at n=43A038430
- Numbers whose base-5 representation contains exactly two 1's and three 3's.at n=21A045243
- F-primes.at n=38A046872
- Coordination sequence T3 for Zeolite Code ISV.at n=45A047960
- Primes for which only two iterations of 'Prime plus its digit sum equals a prime' are possible.at n=27A048524
- a(n) = Sum_{m=1..n, k=1..m} T(m,k), array T as in A049834.at n=30A049836