15083
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 15084
- 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
- 15082
- Möbius Function
- -1
- Radical
- 15083
- 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
- 89
- 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
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1762
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes that remain prime through 3 iterations of function f(x) = 9x + 10.at n=39A023299
- Palindromic primes in base 4.at n=38A029972
- Palindromic primes in base 8.at n=38A029976
- Numbers whose base-4 representation contains exactly four 2's and three 3's.at n=23A045156
- Primes arising in A053782.at n=23A053872
- Third term of weak prime quintets: p(m-1)-p(m-2) < p(m)-p(m-1) < p(m+1)-p(m) < p(m+2)-p(m+1).at n=37A054825
- Palindromic primes in bases 4 and 8.at n=7A056146
- Primes which, although they have correct parity, are not in the prime number maze.at n=28A065123
- Average of row n of A082259.at n=25A082262
- Indices of primes in sequence defined by A(0) = 89, A(n) = 10*A(n-1) - 11 for n > 0.at n=16A101078
- Prime sums of 6 positive 5th powers.at n=24A123035
- Primes congruent to 36 mod 41.at n=39A142233
- Primes congruent to 43 mod 47.at n=41A142394
- Primes congruent to 31 mod 53.at n=33A142561
- Primes congruent to 38 mod 59.at n=28A142765
- Primes congruent to 16 mod 61.at n=27A142814
- Primes p such that continued fraction of (1 + sqrt(p))/2 has period 14: primes in A146337.at n=15A146359
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, 0), (0, 0, -1), (1, -1, 1), (1, 0, 0)}.at n=10A148232
- Primes p such that the p-th semiprime divided by the sum of the digits of p is a prime.at n=38A176706
- L.g.f.: G(x) = exp( Sum_{n>=1} a(n)*x^n/n ) where G(x) = exp( Sum_{n>=1} G(a(n)*x^n)*x^n/n ).at n=9A179491