3040
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 7560
- Proper Divisor Sum (Aliquot Sum)
- 4520
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1152
- Möbius Function
- 0
- Radical
- 190
- Omega Function (Ω)
- 7
- 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
- 110
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Number of ways of writing n as a sum of 5 squares.at n=35A000132
- Shifts 3 places left under binomial transform.at n=13A000996
- Number of maximal collections of pairwise disjoint subsets {X,Y,Z} of {1, 2, ..., n} with X + Y = Z (as in A002849), with the property that n is in one of the subsets.at n=24A002848
- Number of maximal collections of pairwise disjoint subsets {X,Y,Z} of {1, 2, ..., n}, each satisfying X + Y = Z.at n=23A002849
- Coordination sequence T3 for Zeolite Code THO.at n=39A008240
- Coordination sequence T6 for Zeolite Code CON.at n=39A009873
- Coordination sequence for FeS2-Marcasite, Fe position.at n=27A009955
- a(n) = floor( n*(n-1)*(n-2)/28 ).at n=45A011910
- a(n) = floor(n*(n - 1)*(n - 2)/32).at n=47A011914
- Expansion of e.g.f.: exp(arctan(x)+tan(x))=1+2*x+4/2!*x^2+8/3!*x^3+16/4!*x^4+72/5!*x^5...at n=7A012997
- sinh(arctan(x)+tan(x))=2*x+8/3!*x^3+72/5!*x^5+3040/7!*x^7...at n=3A013002
- Expansion of 1/((1-5x)(1-7x)(1-8x)).at n=3A019928
- Numbers with exactly 6 1's in their ternary expansion.at n=32A023697
- Numbers that are the sum of 4 nonzero squares in exactly 7 ways.at n=34A025363
- Numbers that are the sum of 4 distinct nonzero squares in exactly 7 ways.at n=47A025382
- Sequence A025513 divided by 2.at n=7A025514
- 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 27.at n=17A031525
- Numbers in which all pairs of consecutive base-9 digits differ by 3.at n=44A033080
- a(n) = n*(n+1)*(5*n+1)/6.at n=14A033994
- Number of different words that can be formed from an n X n grid of letters, reading horizontally, vertically or diagonally.at n=9A034720