9773
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10140
- Proper Divisor Sum (Aliquot Sum)
- 367
- 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
- 9408
- Möbius Function
- 1
- Radical
- 9773
- 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
- 47
- 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
- Pseudoprimes to base 42.at n=25A020170
- Pseudoprimes to base 52.at n=31A020180
- Pseudoprimes to base 55.at n=35A020183
- Pseudoprimes to base 79.at n=38A020207
- Strong pseudoprimes to base 42.at n=8A020268
- Strong pseudoprimes to base 52.at n=9A020278
- Strong pseudoprimes to base 55.at n=7A020281
- a(n) = p(1)p(n) + p(2)p(n-1) + ... + p(k)p(n+1-k), where k = [ (n+1)/2 ], p = A000040 = the primes.at n=22A024697
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 15.at n=5A031603
- Number of indecomposable binary [ n,4 ] codes without 0 columns.at n=15A034351
- Numbers k such that 129*2^k-1 is prime.at n=33A050590
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 9.at n=16A051974
- Surround numbers of a length 2n zig-zag.at n=27A060641
- Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=2, r=3, I={-1,2}.at n=17A080004
- Semiprimes that are the sum of two positive cubes. Common terms of A003325 and A046315.at n=35A085366
- a(n) = least k such that the remainder of 30^k divided by k is n.at n=58A128370
- Primitive subsequence of A111105.at n=18A137559
- a(1) = 1; thereafter a(n) is always the smallest integer > a(n-1) not leading to a contradiction, such that the concatenation of any three consecutive digits in the sequence is a prime.at n=19A152608
- Positive numbers y such that y^2 is of the form x^2+(x+337)^2 with integer x.at n=7A159574
- Let A(n) = floor((3/2)^n), B(n)=3^n-2^n*A(n); then a(n)=2^n-A(n)-B(n)-2.at n=16A174420