5827
domain: N
Properties
Digital Properties
- Digit Count
- 4
- 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
- 5828
- 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
- 5826
- Möbius Function
- -1
- Radical
- 5827
- 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
- 111
- 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
- 765
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = floor( n*(n-1)*(n-2)/8 ).at n=37A011890
- Primes that remain prime through 3 iterations of function f(x) = 5x + 2.at n=11A023283
- Expansion of 1/(1 - 4*x + 5*x^2 - 3*x^3).at n=9A027439
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 75.at n=20A031573
- Numbers having three 3's in base 8.at n=34A043435
- Number of binary words of length n (beginning 0) with autocorrelation function 2^(n-1)+3.at n=16A045693
- Discriminants of imaginary quadratic fields with class number 15 (negated).at n=22A046012
- Number of partitions of n such that all parts are neither relatively prime (cf. A000837) nor are they periodic with each part occurring the same number of times (cf. A024994).at n=59A060034
- Primes p such that p+5==0 (mod phi(p+5)).at n=29A067542
- Largest prime < n^3.at n=16A077037
- Values of n corresponding to the terms in sequence A080155. For any k, the concatenation of the a(1) to a(k)-th primes is prime and each value of k is the smallest for which this is true.at n=47A080156
- First column of array in A081998.at n=44A082000
- Primes that are the sum of 9 consecutive primes.at n=36A082251
- Primes p such that 6p + 1 and (p-1)/6 are primes.at n=13A085957
- The value of C in y = x^2+15x+C such that y is prime for all x = 0 to 8.at n=3A097460
- Number of partitions p of n for which Odd(p) = Odd(p') (mod 4), where p' is the conjugate of p.at n=32A097566
- Triangle read by rows: T(n,k) is number of paths from (0,0) to (3n,0) that stay in the first quadrant (but may touch the horizontal axis), consisting of steps u=(2,1), U=(1,2), or d=(1,-1) and having k U=(1,2) steps among the steps leading to the first d step.at n=21A108441
- Number of paths from (0,0) to (3n,0) that stay in the first quadrant (but may touch the horizontal axis), consisting of steps u=(2,1), U=(1,2), or d=(1,-1) and having only u steps among the steps leading to the first d step.at n=6A108442
- Primes p such that 6p + 7 is a square.at n=27A110014
- Rectangular table where column k equals row sums of matrix power A078122^k, read by antidiagonals.at n=31A125800