5723
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5880
- Proper Divisor Sum (Aliquot Sum)
- 157
- 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
- 5568
- Möbius Function
- 1
- Radical
- 5723
- 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
- 173
- 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
- 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=9A031573
- Numbers whose set of base-11 digits is {3,4}.at n=22A032835
- Numbers whose set of base-8 digits is {1,3}.at n=41A032915
- Number of partitions of n with equal number of parts congruent to each of 3 and 4 (mod 5).at n=38A035561
- Numbers having three 3's in base 8.at n=32A043435
- Number of rooted trees with n nodes with every leaf at height 7.at n=17A048812
- Numbers k such that k^2 starts with the reverse of k.at n=2A059795
- Generating function satisfies A(x) = exp(A(x)x + 3A(x^2)x^2/2 + A(x^3)x^3/3 + 3A(x^4)x^4/4 +...).at n=10A073079
- Pair the odd numbers such that the k-th pair is (r, r+2k) where r is the smallest odd number not included earlier: (1, 3), (5, 9), (7, 13), (11, 19), (15, 25), (17, 29), (21, 35), (23, 39), (27, 45), ... This is the sequence of the product of the members of pairs.at n=18A075320
- Number of rules of a context-free grammar in Chomsky normal form that generates all permutations of n symbols.at n=8A090327
- Number of partitions of n with at most two even parts.at n=36A096778
- Numbers k such that the digits of k^2, reversed, include the digits of k as a substring.at n=6A115761
- Composite numbers k such that k+d+1 is prime for all divisors d of k greater than 1.at n=40A120776
- Numbers k such that k and k^2 use only the digits 2, 3, 5, 7 and 9.at n=13A137084
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 1), (0, 1, -1), (1, -1, 1), (1, 1, 1)}.at n=7A149716
- Zero-less composite numbers such that exactly eight distinct anagrams are primes.at n=34A163651
- Nonprimes with all digits distinct, all digits prime, and a nonprime number of digits.at n=10A165245
- Number of slanted n X 4 (i=1..n) X (j=i..4+i-1) 1..4 arrays with all 1s connected, all 2s connected, all 3s connected, all 4s connected, 1 in the upper left corner, 2 in the upper right corner, 3 in the lower left corner, 4 in the lower right corner, and with no element having more than 2 neighbors with the same value.at n=23A165378
- Fibonacci sequence beginning 10, 9.at n=14A184959
- Constant term in the reduction by (x^2->x+1) of the polynomial p(n,x) defined below at Comments.at n=7A192924