5726
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
- 8
- Divisor Sum
- 9840
- Proper Divisor Sum (Aliquot Sum)
- 4114
- 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
- 2448
- Möbius Function
- -1
- Radical
- 5726
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 80
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Coordination sequence T2 for Zeolite Code MFS.at n=47A008174
- Expansion of (1-x^6) / (1-x)^6.at n=12A008488
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite PAU = Paulingite (K2,Ca,Na2)76[Al152Si520O1344] starting with a T3 atom.at n=5A019051
- Convolution of natural numbers with (1, p(1), p(2), ... ), where p(k) is the k-th prime.at n=22A023538
- Character of extremal vertex operator algebra of rank 21.at n=3A028547
- Even numbers k such that in k^2 the parity of digits alternates.at n=44A030157
- Number of proper factorizations of p1^n*p2^5, where p1 and p2 are distinct primes.at n=11A031128
- 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 74.at n=20A031572
- Number of partitions of n with equal number of parts congruent to each of 0, 1 and 4 (mod 5).at n=53A035574
- Conjecturally, a power of 2 written in base 3 cannot have this many 2's.at n=43A036463
- 3*n^2-2*n+6.at n=44A047915
- Composite numbers k for which phi(k) + sigma(k) is an integer multiple of the 4th power of the number of divisors of k.at n=24A055468
- Number of 3 X n checkerboards (with at least one red square) in which the set of red squares is edge-connected.at n=5A059021
- a(n) = a(n-1) + a(n - 1 minus the number of terms of a(k) == n (mod 3) so far).at n=33A060730
- Numbers n with following property: suppose n^2 = d1 d2 d3 ...dk in decimal; then d1! + d2! + ... + dk! is a square.at n=42A089185
- Enumeration of partial sums of 1 + [1,2] + [2,3] + [1,2] + [2,3] + ...at n=26A089640
- Number of rooted 2-connected loopless 4-regular planar maps with n inner faces.at n=6A099553
- a(n) = number of indecomposable Schur rings over the group Z_{2^n}.at n=7A112951
- Numbers n such that P(11*n) is prime where P(n) is the partition number.at n=17A113499
- a(n) = binomial(n+6,5) - binomial(n,5).at n=11A120478