15319
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 15320
- 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
- 15318
- Möbius Function
- -1
- Radical
- 15319
- 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
- 177
- 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
- 1790
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes of the form n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2 + (n+4)^2 + (n+5)^2.at n=14A027867
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 76 ones.at n=20A031844
- Primes of the form 666*n + 1.at n=7A037029
- Numbers k such that 135*2^k-1 is prime.at n=25A050593
- Centered 23-gonal numbers.at n=36A069174
- Primes whose 10's complement is a square.at n=4A083004
- Primes p such that the p-1 digits of the ternary (base 3) expansion of k/p (for k=1,2,3,...,p-1) fit into the k-th row of a magic square grid of order p-1.at n=4A096660
- Primes congruent to 44 mod 47.at n=31A142395
- Primes congruent to 2 mod 53.at n=40A142532
- Primes congruent to 38 mod 59.at n=29A142765
- Primes congruent to 8 mod 61.at n=32A142806
- Primes p such that p+p^2+p^3-+2 are also prime.at n=25A154821
- Primes P(n) such that 2*P(n) - P(n+1) has all factors less than P(n+1) - P(n). This means that no prime less than P(n) can divide P(n) to give a remainder added to P(n) to give P(n+1).at n=41A155128
- Partial sums of near-repdigit primes A056710.at n=28A172983
- a(n) = A186882(n+1) - A186882(n).at n=14A186883
- Primes p such that 10p+1 divides 2^p-1.at n=33A188133
- Number of second differences of arrays of length 5 of numbers in 0..n.at n=8A228220
- Primes whose base-9 representation also is the base-4 representation of a prime.at n=17A235619
- Centered 23-gonal primes.at n=3A276263
- Sum of the squares of the smaller parts of the partitions of 2n into two squarefree parts.at n=45A280320