7011
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 10920
- Proper Divisor Sum (Aliquot Sum)
- 3909
- 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
- 4320
- Möbius Function
- 0
- Radical
- 2337
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 57
- 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
- no
- Odd
- yes
Appears in sequences
- Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^9 in powers of x.at n=19A001487
- Numbers k that divide the (left) concatenation of all numbers <= k written in base 4 (most significant digit on left).at n=9A029473
- 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 83.at n=13A031581
- a(n) = floor( exp(n) / Pi ).at n=10A032638
- Multiplicity of highest weight (or singular) vectors associated with character chi_172 of Monster module.at n=38A034560
- Dirichlet convolution of Fibonacci numbers with Primes (with 1).at n=19A034746
- Inverse binomial transform of A002054.at n=8A035045
- a(n)=(s(n)+3)/10, where s(n)=n-th base 10 palindrome that starts with 7.at n=23A043086
- Number of n-crossing hyperbolic knots having symmetry group Z2.at n=15A052412
- McKay-Thompson series of class 40A for Monster.at n=43A058662
- Numbers which yield a prime whenever a 1 is inserted anywhere in them (including at the beginning or end).at n=57A068679
- Numbers, not divisible by 10, whose digits can be permuted to get a proper divisor.at n=34A096093
- If n <= 1 then n else smallest number having in decimal representation exactly one common digit with its predecessor but none with its pre-predecessor.at n=39A107277
- Row sums of a Pascal-Thue-Morse triangle.at n=14A114226
- Numbers which are the sum of 3 cubes of distinct odd primes.at n=16A138853
- Numbers which are the sum of three cubes of distinct primes.at n=32A138854
- Number of 5 X 5 arrays of squares of integers, symmetric about main diagonal, with all rows summing to n.at n=36A156385
- Number of n X n arrays of squares of integers, symmetric about main diagonal, with all rows summing to 36.at n=4A156497
- Number of nondecreasing arrangements of 5 numbers x(i) in -(n+3)..(n+3) with the sum of sign(x(i))*x(i)^2 zero.at n=32A188005
- Sums of the diagonals of the matrix formed by listing the h-Stohr sequences in increasing order.at n=18A193911