2417
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
- 2418
- 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
- 2416
- Möbius Function
- -1
- Radical
- 2417
- 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
- 19
- 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
- 359
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of partitions of 4n-1 into n nonnegative integers each no greater than 8.at n=11A001982
- Quartan primes: primes of the form x^4 + y^4, x > 0, y > 0.at n=8A002645
- Numbers that are the sum of 2 positive 4th powers.at n=21A003336
- Numbers that are the sum of at most 2 nonzero 4th powers.at n=29A004831
- Sum of 4th powers of primes dividing n.at n=13A005065
- Sum of 4th powers of primes dividing n.at n=27A005065
- Balanced primes (of order one): primes which are the average of the previous prime and the following prime.at n=25A006562
- a(n) = n OR n^2 (applied to binary expansions).at n=48A007745
- Numbers k such that the continued fraction for sqrt(k) has period 29.at n=8A020368
- Smallest nonempty set S containing prime divisors of 6k+7 for each k in S.at n=44A020604
- n-th prime p(k) such that p(k) + p(k+6) = p(k+2) + p(k+4).at n=42A022891
- Primes that remain prime through 2 iterations of function f(x) = 9x + 4.at n=35A023266
- a(n) = A026626(2*n-1, n-1).at n=6A026630
- a(n) = A026626(n, floor(n/2)).at n=13A026632
- Friedlander-Iwaniec primes: Primes of form a^2 + b^4.at n=47A028916
- a(n) = prime(9n-1).at n=39A031375
- a(n) = prime(10*n - 1).at n=35A031376
- Primes of form x^2+83*y^2.at n=19A033253
- Primes of form x^2+91*y^2.at n=25A033258
- Position of first occurrence of n in continued fraction for Copeland-Erdős constant.at n=41A033309