1708
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
- 12
- Divisor Sum
- 3472
- Proper Divisor Sum (Aliquot Sum)
- 1764
- 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
- 720
- Möbius Function
- 0
- Radical
- 854
- Omega Function (Ω)
- 4
- 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
- 55
- 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
- Expansion of 1/((1-x)^2*(1-x^2)*(1-x^3)).at n=36A000601
- Number of permutations s of {1,2,...,n} such that |s(i)-i|>1 for each i=1,2,...,n.at n=8A001883
- Numbers k such that 45*2^k - 1 is prime.at n=38A002242
- Numbers k such that the k-th tetrahedral number is the sum of 2 tetrahedral numbers.at n=42A002311
- Expansion of e.g.f. 1/(8 - Sum_{k=1..7} exp(k*x)).at n=2A004705
- a(n) = 3 + n/2 + 7*n^2/2.at n=22A006124
- Number of loopless rooted planar maps with 3 faces and n vertices and no isthmuses. Also a(n)=T(4,n-3), array T as in A049600.at n=18A006416
- a(n+1) = a(n)-th composite number, with a(0) = 1.at n=21A006508
- Number of distinct orders of permutations of n objects; number of nonisomorphic cyclic subgroups of symmetric group S_n.at n=57A009490
- Coordination sequence T3 for Zeolite Code iRON.at n=29A009883
- Numbers with exactly 3 3's in their base-5 expansion.at n=39A023736
- Theta series of A*_6 lattice.at n=33A023918
- a(n) = 2nd elementary symmetric function of the first n+1 odd positive integers.at n=6A024196
- a(n) = Sum_{k=1..n} floor((n/k)*floor(n/k)).at n=32A024921
- Index of 10^n within the sequence of the numbers of the form 5^i*10^j.at n=48A025743
- Triangle of coefficients in expansion of (x+1)*(x+3)*...*(x + 2n - 1) in rising powers of x.at n=42A028338
- Least term in period of continued fraction for sqrt(n) is 3.at n=30A031427
- 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 20.at n=29A031518
- Numbers whose set of base-11 digits is {1,3}.at n=19A032918
- a(n) = n*(2*n+5).at n=28A033537