8923
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
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 8924
- 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
- 8922
- Möbius Function
- -1
- Radical
- 8923
- 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
- 70
- 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
- 1109
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers that are the sum of 5 positive 6th powers.at n=40A003361
- Smallest prime formed by appending a number to the n-th prime.at n=23A030670
- 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 93.at n=23A031591
- Discriminants of imaginary quadratic fields with class number 19 (negated).at n=22A046016
- a(n) is the first prime p from A031924 such that A052180(primepi(p)) = prime(n).at n=19A052229
- Primes p such that |p - q| is a square, where q is the reversal of p.at n=30A059798
- a(n) = 6*n^2 + 6*n + 31.at n=38A060834
- Primes of the form 6*k^2 + 6*k + 31.at n=33A060844
- Numerator of 1 + 1/(2^2) + 1/(3^3) + ... 1/(n^n).at n=4A061463
- Append more digits to the n-th prime (leading zeros are permitted) until another prime is reached.at n=23A064792
- a(n) = p.q in decimal notation where p = prime(n) and q is the smallest prime (A066065(n)) such that the concatenation p.q is a prime.at n=23A066064
- a(1) = 2; for n > 1, a(n) is the smallest prime > a(n-1) such that each successive digit in the concatenation of terms (that does not follow 9) is greater than the previous digit.at n=8A068827
- Numbers k such that the k-th term of the EKG sequence (A064413(k)) has more than one controlling prime.at n=34A073735
- Non-palindromic primes which on subtracting their reversal give perfect squares.at n=12A080177
- Primes such that a sum of any two adjacent digits is prime; first and last digits are considered adjacent.at n=32A086244
- Exponent of least power of 2 having exactly n consecutive 1's in its decimal representation.at n=7A131535
- Primes of the form 3x^2+280y^2.at n=38A139984
- Primes of the form 40x^2+40xy+43y^2.at n=36A140012
- Primes of the form 7x^2+195y^2.at n=32A140018
- Primes congruent to 20 mod 29.at n=39A141996