7733
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 9120
- Proper Divisor Sum (Aliquot Sum)
- 1387
- 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
- 6480
- Möbius Function
- -1
- Radical
- 7733
- Omega Function (Ω)
- 3
- 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
- 26
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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 odd integers <= 2^n of form x^2 + y^2.at n=15A000074
- Number of nonequivalent dissections of an n-gon into 3 polygons by nonintersecting diagonals rooted at a cell up to rotation and reflection.at n=36A003452
- a(n) = n*(n+4)*(n+5)/6.at n=33A005586
- Integer part of log(n^n)^sqrt(n).at n=9A062455
- Nearest integer to log(n^n)^sqrt(n).at n=9A062456
- Sum of the squares of the quadratic nonresidues of prime(n).at n=11A125617
- a(n) = (n-2)*(n+3)*(n+2)/6.at n=35A129936
- Numbers containing only digits 3 or 7 in decimal representation.at n=26A143967
- 11 times triangular numbers.at n=37A152740
- Eleven times hexagonal numbers: a(n) = 11*n*(2*n-1).at n=19A154617
- a(n) = 64*n^2 - n.at n=10A157948
- a(n) = 121*n^2 - 11.at n=7A158539
- a(n) = (2*n^3 + 5*n^2 - 3*n)/2.at n=18A162256
- Constant term of the reduction by x^2 -> x+1 of the polynomial p(n,x) defined at Comments.at n=17A192967
- Odd numbers producing 6 odd numbers in the Collatz iteration.at n=42A198589
- Sequence of coefficients of x^0 in marked mesh pattern generating function Q_{n,132}^(0,4,0,0)(x).at n=35A212346
- -7-Knödel numbers.at n=13A225511
- Composite squarefree numbers n such that p(i)-7 divides n+7, where p(i) are the prime factors of n.at n=12A225707
- Composite squarefree numbers n such that p(i)+5 divides n-5, where p(i) are the prime factors of n.at n=5A225715
- The Wiener index of the graph obtained by applying Mycielski's construction to the cycle graph C(n).at n=30A228320