5789
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 29
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6624
- Proper Divisor Sum (Aliquot Sum)
- 835
- 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
- 4956
- Möbius Function
- 1
- Radical
- 5789
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 54
- 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
- Number of points of norm <= n^2 in square lattice.at n=43A000328
- Triangle of numbers arising from analysis of Levine's sequence A011784.at n=31A014621
- Number of balls in pyramid with base either a regular hexagon or a hexagon with alternate sides differing by 1 (balls in hexagonal pyramid of height n taken from hexagonal close-packing).at n=28A019298
- a(i)=a(i-1)+a(j_1)*a(j_2) {where j_1+j_2=i-1, j_1 <= q j_2} + a(j_1)*a(j_2)*a(j_3) {where j_1+j_2+j_3=i-1, j_1 <= q j_2 <= q j_3} +...+ a(1)^{i-1}.at n=11A027881
- Expansion of (x^3+2*x+1) / ((x-1)^4*(x^2+x+1)^2).at n=40A038391
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 22.at n=26A051963
- a(n)^2 is a square whose digits occur with an equal minimum frequency of 2.at n=19A052049
- ATS: Add Then Sort (i.e., double previous term and then sort digits).at n=19A057615
- Composite and every divisor (except 1) contains the digit 7.at n=28A062676
- Nested floor product of n and fractions (k+1)/k for all k>0 (mod 3), divided by 3.at n=34A073360
- a(1) = 1, a(n) = a(n-1)/gcd(a(n-1),n) if gcd(a(n-1),n) > 1 otherwise a(n) is the concatenation of a(n-1) and n.at n=8A079792
- Antidiagonal sums of square array A082011 divided by the number of the antidiagonal.at n=38A082015
- Numerator of A000328(n)/n^2, where A000328(n) is the number of lattice points (x,y) with x^2 + y^2 <= n^2.at n=42A093836
- Numbers k with increasing digits such that the digits of k appear among the digits of the k-th prime number.at n=1A103174
- Numbers k such that k and 8*k, taken together, are zeroless pandigital.at n=8A115932
- Start with 1015 and repeatedly reverse the digits and add 4 to get the next term.at n=82A117807
- Positive integers whose sixth power is the sum of seven sixth powers (smallest primitive solutions).at n=27A132410
- a(n) integers with digit sum a(n); a(n+1) is the smallest integer > a(n).at n=25A136317
- Number of n X n binary arrays symmetric under horizontal reflection with all ones connected only in a 101-111-100 pattern in any orientation.at n=9A146189
- Number of ways to place zero or more nonadjacent 0,0 1,0 1,1 2,0 2,2 3,0 3,1 3,2 polyhexes in any orientation on a planar nXnXn triangular grid.at n=7A155360