7460
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
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 15708
- Proper Divisor Sum (Aliquot Sum)
- 8248
- 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
- 2976
- Möbius Function
- 0
- Radical
- 3730
- Omega Function (Ω)
- 4
- 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
- 70
- 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
- a(n) = s(1)*s(n) + s(2)*s(n-1) + ... + s(k)*s(n+1-k), where k = floor((n+1)/2), s = (natural numbers >= 3).at n=39A024312
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n-k+1), where k = floor( n/2 ), s = natural numbers >= 3.at n=38A024875
- Number of positive integers that are not the sum of distinct n-th-order polygonal numbers.at n=44A025524
- (d(n)-r(n))/5, where d = A026046 and r is the periodic sequence with fundamental period (1,0,4,0,0).at n=44A026048
- Multiplicity of highest weight (or singular) vectors associated with character chi_109 of Monster module.at n=40A034497
- Number of partitions satisfying cn(2,5) + cn(3,5) <= cn(1,5) and cn(2,5) + cn(3,5) <= cn(4,5).at n=40A039877
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 81 ).at n=39A063354
- a(n)=floor{square((1*n^0+1*n^1+2*n^2+4*n^3)/(1*n^0+2*n^1+1*n^2))}.at n=22A086863
- Positions of 9 in partition of decimal expansion of Pi A104807.at n=22A104809
- a(n)= 3*a(n-3) +3*a(n-6) +a(n-9).at n=22A109528
- a(n)= 3*a(n-3) +3*a(n-6) +a(n-9).at n=24A109528
- a(n)= 3*a(n-3) +3*a(n-6) +a(n-9).at n=19A109529
- a(n)= 3*a(n-3) +3*a(n-6) +a(n-9).at n=21A109529
- a(n)= 3*a(n-3) +3*a(n-6) +a(n-9).at n=23A109529
- a(n)= 3*a(n-3) +3*a(n-6) +a(n-9).at n=20A109530
- a(n)= 3*a(n-3) +3*a(n-6) +a(n-9).at n=25A109530
- Number of permutations of length n with exactly 4 occurrences of the pattern 2-13.at n=3A120812
- Number of permutations of length n which avoid the patterns 4213 and 3142.at n=8A165541
- Number of isosceles right triangles on a 2n X (n+1) grid.at n=7A189894
- Number of ordered triples (w,x,y) with all terms in {1,...,n} and 2*w^2 < x^2 + y^2.at n=23A211800