1217
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
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 1218
- 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
- 1216
- Möbius Function
- -1
- Radical
- 1217
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 132
- 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
- 199
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes with 3 as smallest primitive root.at n=47A001123
- Numbers that are the sum of 7 positive 5th powers.at n=37A003352
- Numbers that are the sum of 8 positive 5th powers.at n=41A003353
- Divisible only by primes congruent to 6 mod 7.at n=35A004624
- a(n) = ceiling(n*phi^9), where phi is the golden ratio, A001622.at n=16A004964
- Prime-indexed primes: primes with prime subscripts.at n=45A006450
- Somos-5 sequence: a(n) = (a(n-1) * a(n-4) + a(n-2) * a(n-3)) / a(n-5), with a(0) = a(1) = a(2) = a(3) = a(4) = 1.at n=12A006721
- Primes with both 10 and -10 as primitive root.at n=38A007349
- Primes of form x^3 + y^3 + z^3 where x,y,z > 0.at n=33A007490
- Primes of form 8n+1, that is, primes congruent to 1 mod 8.at n=45A007519
- Primes p == 1 (mod 8), p = a^2 +64*b^2 such that y^2 = x^3 + p*x has rank 0.at n=4A007765
- Coordination sequence T2 for Zeolite Code AEL.at n=23A008005
- Coordination sequence T4 for Zeolite Code DDR.at n=22A008074
- Number of distinct orders of permutations of n objects; number of nonisomorphic cyclic subgroups of symmetric group S_n.at n=52A009490
- Expansion of e.g.f.: tan(x)*exp(sinh(x)).at n=7A009736
- Coordination sequence T1 for Zeolite Code RUT.at n=23A009897
- a(0) = 1, a(n) = 15*n^2 + 2 for n>0.at n=9A010005
- Primes p == 1 mod 8 such that 2 and -2 are both 4th powers (one implies other) mod p.at n=20A014754
- Powers of cube root of 21 rounded to nearest integer.at n=7A018037
- Powers of cube root of 21 rounded up.at n=7A018038