7740
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 24024
- Proper Divisor Sum (Aliquot Sum)
- 16284
- 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
- 2016
- Möbius Function
- 0
- Radical
- 1290
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 4
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
- yes
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 145
- 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) = floor( n*(n-1)*(n-2)/11 ).at n=45A011893
- Even pentagonal numbers.at n=36A014633
- Define sequence S(a_0,a_1) by a_{n+2} is least integer such that a_{n+2}/a_{n+1}>a_{n+1}/a_n for n >= 0. This is S(3,4).at n=15A018908
- Theta series of A*_9 lattice.at n=56A023921
- a(n) = least m such that if r and s in {1/1, 1/4, 1/7, ..., 1/(3n-2)} satisfy r < s, then r < k/m < (k+1)/m < s for some integer k.at n=39A024836
- a(n) = least m such that if r and s in {1/1, 1/3, 1/5, ..., 1/(2n-1)} satisfy r < s, then r < k/m < (k+2)/m < s for some integer k.at n=38A024841
- Sum{T(i,j)}, 0<=i<=n, 0<=j<=n, T given by A026670.at n=11A026679
- Pisot sequence L(6,10).at n=13A048587
- Pentagonal numbers with even index.at n=36A049452
- Number of multigraphs with loops on 4 nodes with n edges.at n=11A050532
- Expansion of (2-x-x^2-x^3)/((1-x)*(1-x^2-x^3)).at n=35A052954
- Number of primitive (aperiodic) palindromes using a maximum of six different symbols.at n=8A056462
- Number of primitive (period n) periodic palindromes using a maximum of six different symbols.at n=8A056497
- Sequence of sums based on primes = 7 mod 8.at n=20A060108
- Numbers k such that phi(x) = k has exactly 10 solutions.at n=39A060673
- Numbers k such that sigma(k)+1 is a square and sets a new record for such squares.at n=30A063729
- Sum of interior angles in an n-sided polygon in degrees.at n=42A066164
- (Sum of digits of n)^5 - (sum of digits of n^5).at n=33A069979
- (Sum of digits of n)^5 - (sum of digits of n^5).at n=24A069979
- (Sum of digits of n)^5 - (sum of digits of n^5).at n=15A069979