8623
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 8624
- 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
- 8622
- Möbius Function
- -1
- Radical
- 8623
- 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
- 78
- 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
- 1073
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Crystal ball sequence for hexagonal close-packing.at n=13A007202
- 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 91.at n=27A031589
- Numbers whose base-5 representation contains exactly three 3's and two 4's.at n=22A045306
- a(1) = 8; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=43A046258
- Primes at which the difference pattern X42Y (X and Y >= 6) occurs in A001223.at n=20A052164
- Prime number spiral (clockwise, West spoke).at n=16A054570
- Column 0 of triangle A055138.at n=13A055139
- Number of perfect powers (A001597) not exceeding 2^n.at n=26A070228
- a(0)=1, a(n) is the smallest integer >= a(n-1) such that the largest element in the simple continued fraction for S(n)=1/a(0)+1/a(1)+1/a(2)+...+1/a(n) equals the number of elements in this continued fraction.at n=45A070900
- Sums of groups in A075635.at n=23A075636
- Largest prime of the set of four consecutive primes whose sum of digits is a set of four distinct primes.at n=20A106818
- Primes such that the sum of the predecessor and successor primes is divisible by 31.at n=23A113155
- Prime numbers of the form 24*p + 7 where p is prime.at n=27A135985
- Prime numbers p such that p +- ((p-1)/3) are primes.at n=7A137703
- Primes of the form 7x^2+264y^2.at n=33A140031
- Primes of the form 210n + 13.at n=20A140841
- Primes congruent to 10 mod 29.at n=35A141986
- Primes congruent to 5 mod 31.at n=35A142009
- Primes congruent to 13 mod 35.at n=40A142085
- Primes congruent to 2 mod 37.at n=26A142112