10313
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10314
- 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
- 10312
- Möbius Function
- -1
- Radical
- 10313
- 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
- 86
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1265
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes whose sum of digits is 8.at n=34A062343
- Numbers k such that k, 2*k+1, 3*k+2 are primes.at n=44A067256
- Primes which are the concatenation of numbers n_1, n_2, n_3, in that order, with n_1 + n_2 = n_3 (leading zeros are forbidden for nonzero n_i).at n=12A067860
- Prime(n) and prime(n+2) use the same digits.at n=17A069794
- Smallest n-digit prime which leaves a prime at every step if most significant digit and least significant digit are deleted until a one digit or two digit prime is obtained, or 0 if no such prime exists.at n=4A077391
- Largest prime dividing sigma(4,n).at n=39A078553
- Smallest prime with n prime substrings (excluding prime itself but allowing leading zeros).at n=10A085822
- Primes which when added to their own rotation yield a prime.at n=36A086002
- Primes p such that p-1 and p+1 are both divisible by cubes (other than 1).at n=36A086708
- Primes in which the digit string can be partitioned into three parts such that the sum of the first two is equal to the third, and the second part is nonzero.at n=11A088291
- Primes whose decimal representation is a valid number in base 4 and interpreted as such is again a prime.at n=41A090707
- Convolution of Fibonacci and Jacobsthal numbers.at n=14A094687
- Value of C in y = x^2+7x+C such that y is prime for all x = 0 to 4.at n=17A097436
- Smaller of two consecutive Sophie Germain primes with the same digital sum.at n=26A118506
- Primes for which the weight as defined in A117078 is 9 and the gap as defined in A001223 is 8.at n=32A118922
- Primes of the form 8x^2+105y^2.at n=40A139988
- Primes of the form 30x^2+30xy+53y^2.at n=37A140025
- Primes of the form 8x^2+8xy+233y^2.at n=39A140033
- Primes of the form 210k + 23.at n=27A140844
- Primes congruent to 21 mod 31.at n=40A142025