9501
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12672
- Proper Divisor Sum (Aliquot Sum)
- 3171
- 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
- 6332
- Möbius Function
- 1
- Radical
- 9501
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 166
- 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
- Partitions into non-integral powers (see Comments for precise definition).at n=14A000234
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 64.at n=30A031562
- Numerators of continued fraction convergents to sqrt(609).at n=6A042168
- a(n) = A050443(n-th prime)/(n-th prime).at n=18A052338
- a(1) = 4; a(n) = smallest composite number of the form k*a(n-1) + 1.at n=45A061766
- Triangle read by rows: Coefficients of characteristic polynomials of lower triangular matrix of Catalan numbers.at n=22A101413
- Number of n X n binary arrays with all ones connected only in a 1000-1100-0111 pattern in any orientation.at n=6A146389
- Number of n X n binary arrays symmetric under horizontal and vertical reflection with all ones connected only in a 1000-1100-0111 pattern in any orientation.at n=14A146391
- Number of n X n binary arrays symmetric under horizontal and vertical reflection with all ones connected only in a 1000-1100-0111 pattern in any orientation.at n=15A146391
- Similar to A072921 but starting with 3.at n=38A152232
- E.g.f. satisfies A(x) = exp( x/(1 - x*A(x))^2 ).at n=5A161635
- Total number of parts k in all partitions of n such that k does not divide n.at n=29A209313
- Magic constants of the magic cubes 3 X 3 X 3 composed of prime numbers.at n=11A239671
- n^3 + 4*n^2 - 5*n + 1.at n=20A241577
- Expansion of g.f. (1-2*x+51*x^2)/(1-x)^3.at n=20A257352
- Expansion of Product_{k>=1} 1 / (1 - 3*x^k)^2.at n=6A266944
- Alternating sum of centered 25-gonal numbers.at n=38A270693
- Number of partitions of n such that the (sum of distinct odd parts) < n/2.at n=33A284612
- Number of partitions of n into colored blocks of equal parts, such that all colors from a set of size six are used and the colors are introduced in increasing order.at n=16A327289
- Coefficients in the expansion of Product_{m>=1} (1 - q^(13*m))/(1 - q^m).at n=33A341714