10243
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10244
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10242
- Möbius Function
- -1
- Radical
- 10243
- 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
- 42
- 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
- 1255
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers that are the sum of 8 positive 11th powers.at n=5A004819
- Numbers that are the sum of at most 8 positive 11th powers.at n=38A004914
- Smallest prime with n distinct digits.at n=4A007809
- arctan(arctan(x)*exp(x)) = x + 2/2!*x^2 - 1/3!*x^3 - 28/4!*x^4 - 107/5!*x^5 + ...at n=7A012411
- Smallest prime containing n-th square as substring.at n=32A029948
- Smallest nontrivial extension of n-th square which is a prime.at n=31A030685
- Upper prime of a difference of 20 between consecutive primes.at n=15A031939
- Numbers with exactly five distinct base-10 digits.at n=6A031987
- Denominators of continued fraction convergents to sqrt(179).at n=8A041331
- Denominators of continued fraction convergents to sqrt(716).at n=8A042379
- Discriminants of imaginary quadratic fields with class number 15 (negated).at n=36A046012
- Numbers k such that k! - (k-1)! + 1 is prime.at n=19A049432
- P(p(n)), P = primes (A000040), p = partition numbers (A000041).at n=23A058697
- Smallest prime containing the n-th square in decimal notation.at n=31A065144
- Smallest prime that begins with the n-th square in decimal notation.at n=31A065145
- Primes whose digits can be arranged in increasing cyclic order - to form a substring of 123456789012345678901234567890...at n=23A068710
- Primes of the form 5*2^k + 3.at n=7A068712
- Primes that can be formed by concatenating 2^a and 3^b.at n=28A068801
- Smallest prime larger than 2^n whose digits begin with those of 2^n.at n=10A068842
- Primes which are sandwiched between two numbers having the same unordered canonical form.at n=32A074460