15583
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 15584
- 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
- 15582
- Möbius Function
- -1
- Radical
- 15583
- 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
- 71
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1818
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numerators of continued fraction convergents to sqrt(758).at n=7A042460
- A simple grammar.at n=6A052773
- Primes p such that x^53 = 2 has no solution mod p.at n=31A059258
- Primes p such that x^49 = 2 has no solution mod p, but x^7 = 2 has a solution mod p.at n=4A059667
- Number of ways of pairing even numbers in the range 1 to n with odd numbers in the range n+1 to 2n such that each pair sums to a prime.at n=22A071059
- Primes of the form 88x^2+32xy+127y^2.at n=27A140630
- Primes of the form 210k + 43.at n=38A140849
- Primes congruent to 1 mod 49.at n=40A142414
- Primes congruent to 7 mod 59.at n=27A142734
- Primes congruent to 28 mod 61.at n=28A142826
- Primes congruent to 34 mod 71.at n=27A154624
- Primes p such that 6p-7, 6p-5, 6p-1 are all prime.at n=34A157042
- First of a run of 4 or more consecutive primes which all equal 1 (mod 3).at n=25A185942
- Sum of all parts minus the total number of parts of the last section of the set of partitions of n.at n=27A207035
- Primes congruent to 1 mod 53.at n=31A212377
- Expansion of 2/(1-x+sqrt(1-2*x-27*x^2)).at n=7A217275
- Smallest prime that is the (sum, k*prime(k),k=m,..n+m-1) for some m, or 0 if no such m exists.at n=13A268467
- a(n) = 4*n^3 - 3*n^2 - 2*n - 1.at n=16A268644
- Primes p of the form 14*k+1 for which there is a solution to x^7 == 2 mod p.at n=40A270802
- Length of n-th iterate of the mapping 00->0010, 01->100, 10->011 in A289165.at n=22A289177