5737
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
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5738
- 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
- 5736
- Möbius Function
- -1
- Radical
- 5737
- 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
- 754
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- The coding-theoretic function A(n,4,4).at n=49A001843
- Smallest number of complexity n: smallest number requiring n 1's to build using +, * and ^.at n=22A003037
- Bond percolation series for hexagonal lattice.at n=9A006809
- Primes p == 1 (mod 8), p = a^2 +64*b^2 such that y^2 = x^3 + p*x has rank 0.at n=27A007765
- Numbers k such that the continued fraction for sqrt(k) has period 93.at n=1A020432
- Least inverse of A001390, or 0 if no inverse exists.at n=20A020638
- Initial members of prime triples (p, p+4, p+6).at n=45A022005
- Number of sums S of distinct positive integers satisfying S <= n.at n=36A026906
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 38 ones.at n=22A031806
- Lucky numbers with size of gaps equal to 18 (lower terms).at n=30A031900
- Lucky numbers with size of gaps equal to 18 (upper terms).at n=29A031901
- Upper prime of a difference of 20 between consecutive primes.at n=5A031939
- Number of partitions of n into parts not of the form 23k, 23k+6 or 23k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 10 are greater than 1.at n=31A035994
- Number of partitions of n such that cn(1,5) <= cn(0,5) = cn(2,5) <= cn(3,5) = cn(4,5).at n=68A036849
- Numbers having three 7's in base 9.at n=25A043483
- Numbers whose base-4 representation contains exactly four 1's and three 2's.at n=6A045108
- Primes p such that p+4 and p+12 are also prime.at n=42A046137
- Primes at which the difference pattern X42Y (X and Y >= 6) occurs in A001223.at n=16A052164
- Numbers k such that 3*2^k - 5 is prime.at n=31A057912
- Primes p such that p^10 reversed is also prime.at n=27A059703