9497
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 29
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 9498
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 9496
- Möbius Function
- -1
- Radical
- 9497
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 52
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1177
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of bicentered trees with n nodes.at n=16A000677
- G.f.: 1/((1-x)*(1-x^2)*(1-x^3)^2*(1-x^4)*(1-x^5)).at n=44A003402
- Expansion of tan(log(1+x))*cosh(x).at n=7A009643
- Pisot sequence E(9,17), a(n) = floor( a(n-1)^2/a(n-2) + 1/2 ).at n=11A014004
- Numbers k such that the continued fraction for sqrt(k) has period 39.at n=14A020378
- Primes that are concatenations of n with n + 3.at n=11A032626
- Number of days in n years (n=2 is the first leap year).at n=25A033173
- Number of days in n years (n=1 is the first leap year).at n=25A033174
- Primes of the form 47*k + 3.at n=27A100494
- Primes with digit sum = 29.at n=22A106766
- Successive maxima of log(n#)/n where n# is the product of the primes less than n.at n=45A108310
- Primes of the form n^2+5*n+c (n>=0), where c=3 for even n and c=-3 for odd n.at n=23A117012
- Prime quartet leaders: largest number of a prime quartet.at n=22A119892
- Number of base 7 circular n-digit numbers with adjacent digits differing by 4 or less.at n=5A125344
- Primes p such that denominator of Sum_{k=1..p-1} 1/k^2 is a square and denominator Sum_{k=1..p-1} 1/k^3 is a cube.at n=45A127061
- Numbers k such that (3^k + 19^k)/22 is prime.at n=4A128075
- Primes whose decimal, binary and binary-decimal reversals are all prime.at n=41A136187
- Primes of the form 12x^2+12xy+113y^2.at n=39A140005
- Primes of the form 5x^2+273y^2.at n=34A140016
- Primes of the form 33x^2+56y^2.at n=35A140040