5704
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
- 16
- Divisor Sum
- 11520
- Proper Divisor Sum (Aliquot Sum)
- 5816
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 2640
- Möbius Function
- 0
- Radical
- 1426
- Omega Function (Ω)
- 5
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 28
- 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 T9 for Zeolite Code EUO.at n=47A008104
- Coordination sequence T2 for Zeolite Code SGT.at n=47A008230
- Numbers with the property that all pairs of consecutive base-5 digits differ by more than 2.at n=45A032982
- Four times pentagonal numbers: a(n) = 2*n*(3*n-1).at n=31A033579
- Base-6 palindromes that start with 4.at n=28A043013
- Numbers having three 7's in base 9.at n=17A043483
- Numbers k such that (sum of the nonprime proper divisors of k) - (sum of prime divisors of k) = k.at n=3A048055
- Numbers k such that 10*13^k + 1 is prime.at n=15A057464
- Number of orbits of length n under a map whose periodic points seem to be counted by A006953.at n=14A060171
- Triangle read by rows: T(n,k) (n >= 2, 1<=k<=n-1) is the number of permutations p of 1,...,n with max(|p(i)-p(i-1)|, i=2..n) = k.at n=38A064482
- Numbers n such that phi(reverse(n)) = phi(reverse(n-1)) + phi(reverse(n-2)).at n=17A069969
- Coefficients of replicable function number "48g".at n=51A073252
- Maximum determinant that can be formed from the optimal set of nonnegative 3 X 3 matrix elements <=n, which maximize the number of different determinants given in A099834.at n=17A099815
- Numbers n such that 6*10^n-7 is prime.at n=18A103025
- Numbers which are the sum of three positive cubes and divisible by 31.at n=29A104054
- Positive integers m such that the largest prime-power divisor of m equals the sum of the other maximal prime-power divisors (> 1) of m.at n=41A112343
- Low point in segment n of A079051.at n=32A117518
- Triangle read by rows: T(n,k) is the number of deco polyominoes of height n and having k 2-cell columns starting at level 0 (n >= 1; 0 <= k <= n-1).at n=51A121634
- Expansion of 1 - q * (psi(q^5) / psi(q))^2 in powers of q where psi() is a Ramanujan theta function.at n=24A138520
- This sequence and A139143 are complements. a(1) = 1, A139143(1) = 2, a(n+1) = a(n) + Sum_{k = 1..n} A139143(k).at n=29A139142