4809
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 7360
- Proper Divisor Sum (Aliquot Sum)
- 2551
- 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
- 2736
- Möbius Function
- -1
- Radical
- 4809
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 46
- 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
- no
- Odd
- yes
Appears in sequences
- Coordination sequence T3 for Zeolite Code VET.at n=42A009904
- Sum{T(n,k)*T(n,2n-k)}, 0<=k<=n, T given by A027926.at n=8A027990
- 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 46.at n=18A031544
- Numbers whose set of base-8 digits is {1,3}.at n=34A032915
- Number of partitions in parts not of the form 13k, 13k+3 or 13k-3. Also number of partitions with at most 2 parts of size 1 and differences between parts at distance 5 are greater than 1.at n=34A035951
- Coordination sequence T8 for Zeolite Code STT.at n=46A038418
- Base-8 palindromes that start with 1.at n=29A043021
- Numbers whose base-7 representation contains exactly three 0's.at n=36A043395
- Numbers having four 1's in base 8.at n=18A043428
- a(n)=T(n,2), array T as in A049735.at n=39A049745
- Numbers k that, when expressed in base 6 and then interpreted in base 8, give a multiple of k.at n=14A062937
- Composites for which the row of the prime-composite array (A063173) includes the leftmost element of both a zero-only antidiagonal and a zero-only diagonal(A067681).at n=35A063176
- Tenth column (k=9) of septinomial array A063265.at n=5A063418
- a(0) = 1; thereafter, a(n) is the smallest number such that Sum_{m = 0 .. n-1} a(m)*a(m+1) is a square.at n=52A065336
- Total number of parts which are positive powers of 2 in all partitions of n.at n=24A073119
- Nested floor product of n and fractions (k+1)/k for all k>0 (mod 3), divided by 3.at n=32A073360
- Partial sums of A087100.at n=22A087098
- Given the infinite continued fraction (1+i)+((1+i)/(1+i)+((1+i)/((1+i)+...)))), where i is the square root of (-1), this is the numerator of the real part of the convergents.at n=8A093725
- Triangle of generalized Stirling numbers of the first kind.at n=50A094645
- a(n) = floor(7^n/6^n).at n=55A094988