4297
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4298
- 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
- 4296
- Möbius Function
- -1
- Radical
- 4297
- 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
- 25
- 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
- 590
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(0)=2; for n>=1, a(n) = smallest prime p such that there is a gap of exactly 2n between p and next prime, or -1 if no such prime exists.at n=15A000230
- Mian-Chowla sequence (a B_2 sequence): a(1) = 1; for n>1, a(n) = smallest number > a(n-1) such that the pairwise sums of elements are all distinct.at n=46A005282
- Primes of the form m^2 + 3m + 9, where m can be positive or negative.at n=23A005471
- Primorial -1 primes: primes p such that -1 + product of primes up to p is prime.at n=13A006794
- Primes p == 1 (mod 8), p = a^2 +64*b^2 such that y^2 = x^3 + p*x has rank 0.at n=18A007765
- Expansion of e.g.f. tan(x)/cos(tan(x)), odd powers only.at n=3A009757
- 3 and -3 are both 4th powers (one implies other) mod these primes p=1 mod 8.at n=29A014755
- Numbers k such that the continued fraction for sqrt(k) has period 57.at n=3A020396
- Primes that remain prime through 2 iterations of the function f(x) = 5x + 8.at n=36A023255
- Primes that remain prime through 2 iterations of the function f(x) = 8*x + 5.at n=32A023262
- Primes that remain prime through 3 iterations of function f(x) = 5x + 8.at n=12A023286
- Coordination sequence T8 for Zeolite Code MWW.at n=44A024993
- a(n) = number of partitions of n into an odd number of parts, the least being 2; also a(n+2) = number of partitions of n into an even number of parts, each >=2.at n=44A027188
- Cube of the lower triangular normalized 2nd kind Stirling matrix.at n=7A027496
- Third diagonal of A027496.at n=1A027503
- Second column of A027496.at n=2A027511
- For n > 1, a(n) doubles under the transform T, where Ta is the matrix product of partition triangle A008284 with a, with a(1) = 1.at n=10A039809
- Prime islands: for n >= 2, a(n) = least prime whose adjacent primes are exactly 2n apart; a(1) = 3 by convention.at n=18A046931
- Erroneous version of A006794.at n=12A055511
- Primes p whose period of the reciprocal 1/p is (p-1)/3.at n=37A055628