4904
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 9210
- Proper Divisor Sum (Aliquot Sum)
- 4306
- 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
- 2448
- Möbius Function
- 0
- Radical
- 1226
- Omega Function (Ω)
- 4
- 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
- 41
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Coordination sequence T1 for Zeolite Code MTN.at n=42A008186
- Molien series for A_9.at n=33A008632
- Number of partitions of n into at most 9 parts.at n=33A008638
- Smallest positive number that can be written as sum of distinct Fibonacci numbers in n ways.at n=64A013583
- Number of partitions of n in which the greatest part is 9.at n=42A026815
- 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 35.at n=15A031533
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 35.at n=1A031713
- Starting index of a string of 3 or more consecutive equal digits in decimal expansion of Pi.at n=42A049515
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 89 ).at n=15A063362
- Main diagonal of array A082224.at n=35A082227
- a(n) = ceiling(a(n-1)*4/3), with a(1) = 1.at n=27A087192
- G.f.: 1/((1-x)^2*(1-x^2)*(1-x^4)*(1-x^8)*(1-x^16)).at n=42A088954
- Cost of traversing complete tree of height n through splaying.at n=10A100624
- a(n) = number of ks that make primorial P(n)/A019565(k)-A019565(k) prime.at n=14A103788
- Even numbers n such that n^2 is an arithmetic number.at n=21A107924
- The difference between the largest part and the smallest part summed over all those partitions of n in which every integer from the smallest part to the largest part occurs.at n=39A117471
- a(n) = (n+1)*Fibonacci(n+2) + 3.at n=12A123194
- Number of facets of the Alternating Sign Matrix polytope ASM(n).at n=37A128445
- Triangular array read by rows: for n, k >= 1, a(n+1, 1) = 2*a(n, n); a(n+1, k+1) = a(n, k)+a(n+1, k).at n=25A129340
- Number of (directed) Hamiltonian paths in the n-ladder graph.at n=49A137882