11313
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 16800
- Proper Divisor Sum (Aliquot Sum)
- 5487
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7524
- Möbius Function
- 0
- Radical
- 1257
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 2
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
- 112
- 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
- a(n) = n*(31*n + 1)/2.at n=27A022289
- Numbers having only digits 1 and 3 in their decimal representation.at n=35A032917
- Numbers with multiplicative digital root value 9.at n=23A034056
- Positive numbers for which the sum of digits equals the product of digits.at n=34A034710
- Numerators of continued fraction convergents to sqrt(417).at n=8A041792
- Numbers with all odd digits, in which each digit divides the number formed by the rest, i.e., the number obtained by just removing this digit.at n=42A061507
- Integers m such that (x1*x2*..xk)^(x1+x2+..xk) = (x1+x2+..xk)^(x1*x2*..xk) where x1x2..xk are the digits of m in base 10.at n=37A064158
- Nonprimes whose sum of digits is equal to its product of digits.at n=26A066307
- Numbers with at least 2 distinct digits and whose "rotations" (including the number itself) are multiples of these digits; repeated digits allowed but digit 0 not allowed.at n=13A066484
- Average of three successive primes squared, (prime(n)^2+prime(n+1)^2+prime(n+2)^2)/3, n>=3.at n=24A075893
- (n / product of digits of n) is a semiprime.at n=24A085773
- Base-4 representation of positive integers whose base-2 run-length representation is the same as their base-4 representation.at n=3A101217
- Dividuus numbers: numbers which are divisible by (1) the sum of their digits,(2) the product of their digits,(3) the digital root and (4) the multiplicative digital root.at n=39A118575
- Number of distinct angles in all integer-sided triangles with all sides <= n.at n=40A123325
- Numbers n with property that average digit of n^2 is s=6.at n=45A164778
- Number of (n+2) X 7 binary arrays with every 3 X 3 subblock commuting with each horizontal and vertical neighbor 3 X 3 subblock.at n=14A190029
- Composite numbers whose multiplicative digital root is 9.at n=17A201024
- Triangle of coefficients of polynomials v(n,x) jointly generated with A210221; see the Formula section.at n=42A210599
- List of primitive words over the alphabet {1,3}.at n=26A213970
- Minimal representation (considered minimal in any canonical base b > 3) of n in a binary system with two distinct digits "1" and "3", not allowing zeros, where a digit d in position p (p = 1,2,3,...,n) represents the value d^p.at n=32A237454