9202
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 14256
- Proper Divisor Sum (Aliquot Sum)
- 5054
- 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
- 4452
- Möbius Function
- -1
- Radical
- 9202
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 60
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Number of 3rd-order maximal independent sets in cycle graph.at n=42A007387
- a(0) = 1, a(n) = 23*n^2 + 2 for n>0.at n=20A010013
- 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 94.at n=30A031592
- a(1) = 2; a(n) = 9*2^(n-2) - n - 2, n>1.at n=11A054127
- a(n) = floor( (4/3)*Pi*n^3 ).at n=13A066645
- Numbers k such that k!!!!! + 1 is prime.at n=53A085148
- Let S = 123456789101112131415..., the concatenation of the natural numbers; partition this string into distinct squarefree numbers. To avoid leading zeros, no number may end at the digit that comes before a 0 in S.at n=13A085943
- Natural numbers written out with their digits grouped in sets of four (leading zeros omitted).at n=7A091332
- Expansion of solution of functional equation.at n=17A112805
- a(n)=a(n-2)+a(n-5).at n=42A133394
- 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, 0), (0, 1, -1), (1, 0, -1), (1, 1, 0), (1, 1, 1)}.at n=7A150760
- Any two consecutive digits in the sequence sum up to a prime.at n=35A158652
- Put the natural numbers together without spaces and read them four at a time advancing one space each time.at n=28A193492
- prime(n^2) - prime(n).at n=33A213926
- Volume of sphere (rounded down) with the diameter equal to n.at n=25A228272
- Smallest k such that in the interval [1,k] in A242033 all odd primes <= prime(n) are present.at n=37A242036
- Smallest k such that in the interval [1,k] in A242033 all odd primes <= prime(n) are present.at n=38A242036
- Number of length 3 1..(n+1) arrays with every leading partial sum divisible by 2, 3, 5, 7 or 11.at n=25A254950
- Stirling transform of A077957 (aerated powers of 2).at n=8A264036
- Numbers n such that 11^n is the highest power of 11 dividing A240751(n).at n=41A286006