3257
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
- 2
- Divisor Sum
- 3258
- 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
- 3256
- Möbius Function
- -1
- Radical
- 3257
- 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
- 48
- 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
- 460
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Squares written in base 9.at n=48A002442
- Primes p == 1 (mod 8), p = a^2 + 64*b^2 such that y^2 = x^3 + p*x has rank 2.at n=41A007766
- Coordination sequence T3 for Zeolite Code AFT.at n=43A008028
- Coordination sequence T1 for Banalsite.at n=34A008249
- Coordination sequence T2 for Banalsite.at n=34A008250
- Coordination sequence T5 for Zeolite Code VNI.at n=35A009911
- a(n) is prime and sum of all primes <= a(n) is prime.at n=43A013917
- Primes whose digits are primes; primes having only {2, 3, 5, 7} as digits.at n=32A019546
- Numbers k such that the continued fraction for sqrt(k) has period 37.at n=9A020376
- Fibonacci sequence beginning 1, 22.at n=12A022392
- Primes that remain prime through 2 iterations of the function f(x) = 2x + 7.at n=36A023244
- Primes that remain prime through 2 iterations of function f(x) = 6x + 1.at n=32A023256
- a(n) = Sum_{0<=j<=i<=n} A027144(i, j).at n=8A027153
- Sequence satisfies T^2(a)=a, where T is defined below.at n=44A027594
- Primes p whose digits do not appear in p^2.at n=38A030086
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 10.at n=5A031423
- Four consecutive primes whose 'last digit cycle' equals {1,3,7,9}.at n=42A032591
- Primes of form x^2+41*y^2.at n=22A033228
- Primes of form x^2+77*y^2.at n=20A033249
- Number of partitions of n such that cn(3,5) <= cn(0,5) = cn(1,5) <= cn(2,5) = cn(4,5).at n=61A036865