8269
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 8270
- 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
- 8268
- Möbius Function
- -1
- Radical
- 8269
- 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
- 158
- 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
- 1037
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Cuban primes: primes which are the difference of two consecutive cubes.at n=26A002407
- Coordination sequence for FeS2-Pyrite, S position.at n=42A009956
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 13.at n=8A031601
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 86 ones.at n=1A031854
- Value of D for incrementally largest values of minimal x satisfying Pell equation x^2-Dy^2=1.at n=31A033316
- Multiplicity of highest weight (or singular) vectors associated with character chi_119 of Monster module.at n=42A034507
- Gaps of 8 in sequence A038593 (upper terms).at n=7A038656
- Numbers ending with '9' that are the difference of two positive cubes.at n=29A038864
- Primes arising in A048969.at n=23A048977
- Primes p such that x^53 = 2 has no solution mod p.at n=18A059258
- A list of equal temperaments (equal divisions of the octave) whose nearest scale steps are closer and closer approximations to six complementary pairs of ratios which generate simple musical tones (scale steps): 8/7 and 7/4, 6/5 and 5/3, 16/13 and 13/8, 5/4 and 8/5, 4/3 and 3/2 and 11/8 and 16/11.at n=44A060233
- Smallest number which when iterated n times under A003285 gives a square.at n=5A061490
- Integers n > 1997 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 1997.at n=7A063055
- Potential Sierpiński numbers: integers for which the smallest m > 2^10 in A040076 such that n*2^m+1 is prime (A050921).at n=32A064721
- a(n) = prime(n*(n+1)/2+2).at n=45A078722
- Numbers n such that A003313(n) = A003313(2n).at n=33A086878
- Primes in which no digit is coprime to its neighbors.at n=22A088297
- Expansion of (1+4x+7x^2)/((1-x)^2*(1-x^2)).at n=52A090381
- Primes p such that the sum of the digits of p is not prime, but the sum of each digit raised to the 4th power is prime.at n=7A091368
- Matrix square of triangle A063967.at n=29A091700