9201
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12272
- Proper Divisor Sum (Aliquot Sum)
- 3071
- 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
- 6132
- Möbius Function
- 1
- Radical
- 9201
- 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
- Truncated octahedral numbers: 16*n^3 - 33*n^2 + 24*n - 6.at n=8A005910
- Expansion of 1/(1-x^4-x^5-x^6).at n=48A017828
- a(n) = A026907(2*n, n-1).at n=4A026910
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 54 ones.at n=24A031822
- Numbers k such that the number of primes between k and 2k (inclusive) is equal to the number of primes between k and reverse(k) (inclusive).at n=23A074814
- a(n) = Sum_{i=1..n} 2^(b(i) - 1), where b(n) is the differences between consecutive primes.at n=34A086769
- Representative lunar primes.at n=33A088574
- Numbers n such that 30*n+7, 30*n+11, 30*n+13, 30*n+17, 30*n+19 are consecutive primes.at n=14A089157
- Semiprimes s such that s-/+2 are primes.at n=41A125215
- Alternating row sums of triangle A134275 (S2(5)').at n=4A134277
- Numbers k such that k^6 - 2 and k^6 + 2 are both primes.at n=16A154938
- a(n) = 400 * n + 1.at n=22A158313
- Number of compositions of n such that the smallest part is divisible by the number of parts.at n=43A171628
- Numbers that are palindromic in bases 2 and 7.at n=8A182234
- Number of n X n symmetric 0..3 arrays with each element equal to the product mod 4 of two of its horizontal and vertical neighbors.at n=4A193482
- Maximum deviation from n in Collatz trajectory of n.at n=30A213538
- 7^n mod 10000.at n=31A216130
- 11^n mod 10000.at n=19A216132
- O.g.f. satisfies: A(x) = Sum_{n>=0} A000110(n)*x^n*A(x)^n, where A000110 are the Bell numbers.at n=7A224922
- Number of partitions p of n such that 3*min(p) is a part of p.at n=35A238590