4808
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 9030
- Proper Divisor Sum (Aliquot Sum)
- 4222
- 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
- 2400
- Möbius Function
- 0
- Radical
- 1202
- 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
- 59
- 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
- a(n) = ceiling(1000*log_2(n)).at n=27A004267
- Shifts 3 places left under exponentiation.at n=10A007548
- Coordination sequence for CaF2(2), Ca position.at n=31A009926
- Expansion of Product_{m>=1} (1 + m*q^m)^-4.at n=14A022696
- Numbers k such that Fib(k) == 21 (mod k).at n=32A023179
- a(n) = sum of the numbers between the two n's in A026358.at n=35A026361
- Coordination sequence T13 for Zeolite Code STT.at n=46A038420
- Numbers whose base-7 representation contains exactly three 0's.at n=35A043395
- a(n) = Sum_{i=0..n} T(i,n-i) where T is A049627.at n=35A049628
- Number of permutations in the symmetric group S_n such that the size of their conjugacy class is even.at n=6A052361
- Coordination sequence T7 for Zeolite Code SFE.at n=46A057323
- Number of permutations in the symmetric group S_n with order >= 3.at n=6A066052
- Numbers k such that prime(k+1)-(k+1)*tau(k+1) = prime(k-1)-(k-1)*tau(k-1) where tau(k) = A000005(k) is the number of divisors of k.at n=38A067335
- Centered 19-gonal numbers.at n=22A069132
- Number of primes of the form 4k+3 less than 10^n.at n=4A091099
- Indices n of primes p(n), p(n+2) such that p(n)+1 and p(n+2)+1 have the same largest prime factor.at n=10A105404
- a(1) = a(2) = 1; for n>2, a(n+1) = a(n) + a(n-1) iff n is prime, otherwise a(n+1) = a(n) + 1.at n=38A113050
- Numbers k such that (j^k + k^j) == 0 (mod k+j), j=2 case.at n=5A114977
- a(n)=k-n where prime(k) is the smallest prime greater than prime(n)*prime(n+1).at n=46A120941
- Number of partitions of n into parts with at most one 1 and at most one 2.at n=38A121081