4847
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5016
- Proper Divisor Sum (Aliquot Sum)
- 169
- 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
- 4680
- Möbius Function
- 1
- Radical
- 4847
- 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
- 165
- 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
- Coordination sequence T1 for Zeolite Code YUG.at n=45A008247
- Numbers k such that sigma(k) = sigma(k+12).at n=31A015882
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite DFO = DAF-1 [Mg14Al52P66O264].7R.40H2O starting with a T4 atom.at n=5A019008
- The sequence M(n) in A022905.at n=23A022908
- Every suffix prime and no 0 digits in base 9 (written in base 9).at n=34A024784
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 13 ones.at n=9A031781
- Coordination sequence T5 for Zeolite Code STF.at n=46A038440
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 20.at n=37A051985
- Number of permutations with certain forbidden subsequences.at n=9A054394
- McKay-Thompson series of class 40A for Monster.at n=40A058662
- Numbers k such that k*2^m+1 are composites for all exponents m in the range 0<=m<=k.at n=12A061153
- a(n) = 10*n^2 + 7.at n=22A061722
- Integers for which the smallest m in A040076 such that n*2^m+1 is prime (A050921) increases.at n=10A064699
- Potential Sierpiński numbers: integers for which the smallest m > 2^10 in A040076 such that n*2^m+1 is prime (A050921).at n=13A064721
- Triangle of numbers arising in recursive computation of A002212.at n=34A073149
- Sum of composite numbers less than n-th prime.at n=29A079725
- Least positive integer that can be represented as sum of semiprime and a triangular number in exactly n ways. Triangular numbers include t(0)=0 and (1)=1.at n=41A100591
- Numbers k such that 3*k+2, 4*k+3 and 5*k+4 are primes.at n=34A126956
- a(n) = n*(3*n + 20).at n=37A140689
- Number of n X n binary arrays symmetric under horizontal and vertical reflection with all ones connected only in a 101-111-010 pattern in any orientation.at n=12A146218