9313
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 9520
- Proper Divisor Sum (Aliquot Sum)
- 207
- 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
- 9108
- Möbius Function
- 1
- Radical
- 9313
- Omega Function (Ω)
- 2
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 109
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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 squares on infinite chessboard at <= n knight's moves from a fixed square.at n=26A018836
- Pseudoprimes to base 96.at n=33A020224
- Strong pseudoprimes to base 96.at n=9A020322
- Strong pseudoprimes to base 97.at n=15A020323
- Numbers k such that the continued fraction for sqrt(k) has period 72.at n=38A020411
- Generalized Catalan Numbers x^2*A(x)^2 -(1-x+x^2+x^3+x^4+x^5)*A(x) + 1 =0.at n=18A023422
- a(n) = Lucas(n+4) - 2*(n+3).at n=15A027181
- Numbers k such that 155*2^k+1 is prime.at n=17A032454
- Number of partitions satisfying cn(0,5) <= cn(2,5) + cn(3,5).at n=33A039840
- Counterbalanced numbers: Composite numbers k such that phi(k)/(sigma(k)-k) is an integer.at n=14A055940
- Geometric mean of the digits = 3. In other words, the product of the digits is = 3^k where k is the number of digits.at n=27A061427
- Duplicate of A055940.at n=14A070158
- a(n) = 9*n^2 + 3*n + 1.at n=32A082040
- a(n) = 16*n^2 + 4*n + 1.at n=24A082041
- Indices of primes in sequence defined by A(0) = 29, A(n) = 10*A(n-1) - 51 for n > 0.at n=17A101956
- Sum of squares of tribonacci numbers (A000073).at n=10A107239
- p^2-p+1 central polygonal numbers with prime indices A002061(prime(n)).at n=24A119959
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 1, 0), (0, 0, -1), (0, 1, 0), (1, -1, 1)}.at n=9A148409
- Numbers of the form k^2+k+1 that are the product of two distinct primes.at n=44A176069
- The trisection A178242(3n+2).at n=44A178370