1043
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 1200
- 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
- 888
- Möbius Function
- 1
- Radical
- 1043
- 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
- 124
- 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 bipartite partitions of n white objects and 6 black ones.at n=6A002755
- Number of bipartite partitions of n white objects and n black ones.at n=6A002774
- Let F(x) = 1 + x + 4x^2 + 10x^3 + ... = g.f. for A000293 (solid partitions) and expand (1-x)(1-x^2)(1-x^3)...*F(x) in powers of x.at n=10A002836
- Numbers that are the sum of 4 nonzero 4th powers.at n=49A003338
- Number of line-self-dual nets (or edge-self-dual nets) with n nodes.at n=6A004106
- Powers of 3 written in base 6.at n=5A004660
- a(n) = ceiling(n*phi^13), where phi is the golden ratio, A001622.at n=2A004968
- Non-seed mu-atoms of period n in Mandelbrot set.at n=21A006875
- Number of 5th-order maximal independent sets in path graph.at n=39A007380
- Coordination sequence T2 for Zeolite Code STI.at n=22A008235
- Molien series for A_4.at n=40A008627
- Coordination sequence T2 for Keatite.at n=18A009845
- Coordination sequence T3 for Zeolite Code -PAR.at n=23A009857
- Coordination sequence T4 for Zeolite Code VNI.at n=20A009910
- Expansion of e.g.f.: sech(tanh(x)*exp(x))=1-1/2!*x^2-6/3!*x^3-11/4!*x^4+100/5!*x^5...at n=6A012663
- arcsin(cosh(x)*sin(x))=x+3/3!*x^3+25/5!*x^5+1043/7!*x^7+72465/9!*x^9...at n=3A012764
- Numbers k such that phi(k + 7) | sigma(k) for k not congruent to 0 (mod 3).at n=52A015848
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite VNI = VPI-9 Rb44K4[Zn24Si96O240].48H2O starting with a T2 atom.at n=10A019253
- Numbers k such that the continued fraction for sqrt(k) has period 14.at n=46A020353
- a(n) = a(n-1) + c(n-1) for n >= 2, a( ) increasing, given a(1)=6; where c( ) is complement of a( ).at n=40A022938