4259
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4260
- 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
- 4258
- Möbius Function
- -1
- Radical
- 4259
- 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
- 126
- 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
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 584
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p == 7, 19, 23 (mod 40) such that (p-1)/2 is also prime.at n=33A000353
- Smallest prime p==3 (mod 8) such that Q(sqrt(-p)) has class number 2n+1.at n=17A002148
- Odd primes such that (3p+1)/2 and 3p+4 are also prime.at n=34A014223
- Expansion of 1/(1 - x^10 - x^11 - x^12 - x^13 - x^14 - x^15 - x^16).at n=71A017892
- Primes that remain prime through 3 iterations of function f(x) = 7x + 6.at n=8A023290
- Primes that remain prime through 4 iterations of function f(x) = 7x + 6.at n=2A023318
- Primes that remain prime through 5 iterations of function f(x) = 7x + 6.at n=0A023346
- a(n) = sum of the numbers between the two n's in A026370.at n=33A026373
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 65.at n=4A031563
- Numbers with exactly five distinct base-8 digits.at n=4A031985
- Numbers whose set of base-11 digits is {2,3}.at n=22A032811
- Start of a string of exactly 2 consecutive (but disjoint) pairs of twin primes.at n=13A035790
- Number of partitions of n into parts not of the form 17k, 17k+6 or 17k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 7 are greater than 1.at n=30A035967
- Numbers whose base-5 representation contains exactly three 1's and two 4's.at n=34A045261
- Primes resulting from procedure described in A048388.at n=42A048389
- Revert transform of 2*x*(1-x-x^3-x^5+x^6)-x/(1+x).at n=7A049186
- First of four consecutive primes that comprise two sets of twin primes.at n=23A053778
- Coefficients of a polynomial used in calculation of A055915.at n=6A055918
- Primes of the form 4*k^2 + 163.at n=27A057604
- Safe primes (A005385) that are not Sophie Germain primes.at n=44A059452