4804
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 8414
- Proper Divisor Sum (Aliquot Sum)
- 3610
- 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
- 2402
- Omega Function (Ω)
- 3
- 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) = floor(n*(n-1)*(n-2)*(n-3)/5).at n=14A011915
- Numbers k such that the continued fraction for sqrt(k) has period 86.at n=6A020425
- Fibonacci sequence beginning 1, 20.at n=13A022110
- Number of partitions of n into parts 3k and 3k+2 with at least one part of each type.at n=50A035619
- Number of partitions of n into parts not of form 4k+2, 24k, 24k+11 or 24k-11. Also number of partitions in which no odd part is repeated, with at most 5 parts of size less than or equal to 2 and where differences between parts at distance 5 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.at n=41A036034
- Coordination sequence T10 for Zeolite Code STT.at n=46A038422
- Coordination sequence T4 for Zeolite Code STF.at n=46A038439
- Base-7 palindromes that start with 2.at n=16A043016
- Numbers whose base-7 representation contains exactly three 0's.at n=31A043395
- Numbers whose cube is palindromic in base 7.at n=13A046237
- Numbers k such that k and k+1 both have 6 divisors.at n=46A049103
- a(n) = Sum_{k=1..n} T(n,k), array T as in A049790.at n=23A049791
- 1/2-Smith numbers.at n=29A050224
- Numbers n such that n^2 contains exactly 8 different digits.at n=19A054036
- Number of trees with n nodes and 6 leaves.at n=10A055293
- Smaller of two consecutive numbers of the form p^2*q where p and q are distinct primes.at n=44A074172
- Numbers k such that the numerator of Bernoulli(2k) is divisible by the square of 37, the first irregular prime.at n=17A092230
- Maximal values in A038598.at n=40A093330
- Number of A080115-primes in range [2^n,2^(n+1)].at n=15A095095
- Number of distinct values of i*j + j*k + k*i with 1 <= i <= j <= k <= n.at n=47A100440