15313
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 15314
- 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
- 15312
- Möbius Function
- -1
- Radical
- 15313
- 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
- 84
- 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
- 1789
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that 21*2^k - 1 is prime.at n=25A002238
- Cubes written in base 8.at n=18A004638
- Primes of the form j^2 + (j+1)^2.at n=31A027862
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 82 ones.at n=13A031850
- Lucky numbers with size of gaps equal to 20 (lower terms).at n=33A031902
- Number of partitions satisfying cn(1,5) + cn(4,5) <= cn(0,5) + cn(2,5) and cn(1,5) + cn(4,5) <= cn(0,5) + cn(3,5).at n=43A039864
- Primes p from A031924 such that A052180(primepi(p)) = 17.at n=16A052234
- Primes p that have exactly three primitive roots that are not primitive roots mod p^2.at n=4A060519
- a(n) = (2*n-1)^2 + (2*n)^2.at n=43A060820
- Primes such that the sum of the squares of its digits is equal to the product of its digits.at n=2A067779
- Prime(n) and prime(n+3) use the same digits.at n=18A069795
- Downward vertical of triangular spiral in A051682.at n=29A081272
- Nontrivial Delannoy numbers that are primes.at n=33A101167
- Primes p such that there exist three primes q, r and s with p^3=q^3+r^3+s^3.at n=26A114923
- Balanced primes p of the form (r+q+s-1)/2, where r, q, s are consecutive primes.at n=4A129191
- Centered square numbers that are prime powers of the form (4n+1)^k.at n=33A133322
- Primes of the form x^2 + 1848*y^2.at n=41A139668
- Primes p such that p - 6^2, p - 6, p + 6 and p + 6^2 are also primes.at n=33A141279
- Primes congruent to 25 mod 49.at n=36A142435
- Primes congruent to 49 mod 53.at n=32A142579