8369
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 8370
- 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
- 8368
- Möbius Function
- -1
- Radical
- 8369
- 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
- 39
- 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
- 1048
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Largest prime factor of product of first n primes - 1, or 1 if no such prime exists.at n=6A002584
- sech(arcsin(tanh(x)))=1-1/2!*x^2+9/4!*x^4-201/6!*x^6+8369/8!*x^8...at n=4A012133
- Numbers k such that the continued fraction for sqrt(k) has period 99.at n=6A020438
- Primes that remain prime through 3 iterations of function f(x) = 4x + 3.at n=23A023281
- Primes that remain prime through 4 iterations of function f(x) = 4x + 3.at n=4A023311
- 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 7.at n=24A031420
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 48 ones.at n=26A031816
- Primes p such that x^24 = 2 has no solution mod p, but x^12 = 2 has a solution mod p.at n=41A059331
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 99 ).at n=30A063372
- Prime numbers using only the curved digits 0, 3, 6, 8 and 9.at n=35A079652
- First row of square array A082011.at n=44A082012
- Primes appearing as the concatenation of the last two digits of prime(A086102(n)) and the first two digits of prime(A086102(n)+1).at n=16A086103
- Primes arising in A086498: a(n) = (2n)-th partial sum of A086498.at n=30A086499
- Primes p such that p-1 and p+1 are both divisible by cubes (other than 1).at n=32A086708
- Primes that are a sum of twin primes and their indices.at n=27A088187
- Primes which are also prime if their base 19 representation is interpreted as a base 10 number.at n=47A090714
- Primes of the form 47*k + 3.at n=23A100494
- Smallest prime a(n) such that concatenation of first n+1 primes starting from a(n), separated by n zeros, is prime.at n=26A102109
- Primes with digit sum = 26.at n=37A106764
- Primes such that the sum of the predecessor and successor primes is divisible by 31.at n=22A113155