5837
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6300
- Proper Divisor Sum (Aliquot Sum)
- 463
- 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
- 5376
- Möbius Function
- 1
- Radical
- 5837
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = (5*n + 1)^2 + 4*n + 1.at n=15A007533
- Numbers k such that the continued fraction for sqrt(k) has period 3.at n=20A013643
- Numerators of continued fraction convergents to sqrt(633).at n=6A042214
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 5.at n=13A051970
- a(n) = n*(8*n^2 - 5)/3.at n=13A063523
- Semiprimes p1*p2 such that p2>p1 and p2 mod p1 = 7.at n=27A064905
- Numbers n such that binomial(2n, n) - 1 is prime.at n=32A066726
- a(n) = n^3 + 5.at n=18A084381
- Number of triangular partitions of n.at n=26A089647
- Indices of primes in sequence defined by A(0) = 21, A(n) = 10*A(n-1) + 61 for n > 0.at n=7A101966
- Integers k such that 10^k - 39 is prime.at n=14A108365
- Diagonal sums of number triangle A123490.at n=10A123491
- Numbers k such that continued fraction of (1 + sqrt(k))/2 has period 5.at n=37A146330
- Number of n X n binary arrays symmetric about both diagonal and antidiagonal with all ones connected only in a 01010-11111 pattern in any orientation.at n=16A147063
- a(n) = 25*n^2 - 36*n + 13.at n=16A154355
- a(n) = Lucas(n+1) + prime(n).at n=16A160243
- Multiples of 13 whose reversal - 1 is also a multiple of 13.at n=36A166397
- a(1) = 5, a( n) = prime(a(n-1)) - a(n-1).at n=8A179274
- Values x for records of minima of the positive distance d between an 11th power of a positive integer x and a square of an integer y such that d = x^13 - y^2 (x<>k^2 and y<>k^13).at n=46A179799
- Number of nXnXn 0..6 triangular arrays with each element equal to the number of its neighbors unequal to itself.at n=11A195954