5861
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5862
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5860
- Möbius Function
- -1
- Radical
- 5861
- 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
- 36
- 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
- 771
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/5.at n=17A001135
- Numbers k such that the continued fraction for sqrt(k) has period 77.at n=1A020416
- Primes that remain prime through 2 iterations of function f(x) = 8x + 1.at n=18A023260
- Primes of the form k^2 + k + 9.at n=10A027758
- Palindromic primes in base 4.at n=20A029972
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 32 ones.at n=35A031800
- Primes that are concatenations of n with n + 3.at n=7A032626
- Multiplicity of highest weight (or singular) vectors associated with character chi_8 of Monster module.at n=39A034396
- Primes p such that p+6 and p+8 are also primes.at n=42A046138
- Integers n such that A047988(n)=3.at n=25A047986
- Primes for which only two iterations of 'Prime plus its digit sum equals a prime' are possible.at n=32A048524
- p, p+6 and p+8 are all primes (A046138) but p+2 is not.at n=31A049438
- Primes p from A031924 such that A052180(primepi(p)) = 11.at n=15A052232
- Prime number spiral (clockwise, East spoke).at n=14A054555
- Number of partitions of the n-th prime into parts that are all primes.at n=20A056768
- Primes p such that x^5 == 2 (mod p) has five solutions.at n=40A059858
- a(n) is the smallest prime m such that prod(m) = n*length(m)*sum(m) where prod(m) is the product of the digits of m, length(m) is the number of digits of m, sum(m) is the sum of the digits of m; or 0 if no such m exists.at n=2A064023
- Class 5+ primes (for definition see A005105).at n=23A081633
- Balanced primes of order two.at n=31A082077
- a(n) is the n-th prime that ends with prime(n), or 0 if there do not exist n primes ending with prime(n).at n=17A089778