6730
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
- 8
- Divisor Sum
- 12132
- Proper Divisor Sum (Aliquot Sum)
- 5402
- 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
- 2688
- Möbius Function
- -1
- Radical
- 6730
- Omega Function (Ω)
- 3
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 44
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Hit polynomials; convolution of natural numbers with Fibonacci numbers F(2), F(3), F(4), ....at n=15A001891
- Coordination sequence for body-centered tetragonal lattice.at n=29A008527
- Molien series for A_7.at n=40A008630
- Numbers k such that the continued fraction for sqrt(k) has period 27.at n=28A020366
- Concatenate n-th prime and n-th composite.at n=18A038530
- Numbers k such that x^k + x^3 + 1 is irreducible over GF(2).at n=32A057461
- Numbers n such that x^n + x^3 + x^2 + x + 1 is irreducible over GF(2).at n=25A057496
- Integers whose set of prime factors (taken with multiplicity) uses each digit exactly once (i.e., is pandigital) in some base b > 1. Numbers are expressed in base 10.at n=34A058760
- Variation of Stechkin's function, A055004.at n=12A062827
- Engel expansion of zeta(10) = Sum_{i>0} 1/i^10.at n=5A067918
- p such that p^4 + q^4 = r^4 + s^4 = a(n).at n=20A088728
- Number of subsets of {1, ..., n} that are double-free or sum-free.at n=15A088813
- G.f.: (1+x^3+x^4+x^5+x^6+x^9)/((1-x)*(1-x^2)^2*(1-x^3)*(1-x^4)).at n=32A090491
- Triangle, read by rows, of the coefficients of [x^k] in G100225(x)^n such that the row sums are 3^n-1 for n>0, where G100225(x) is the g.f. of A100225.at n=61A100226
- a(n) = (2*n-1)^2 + (2*n+1)^2.at n=29A108100
- a(n) = prime(1^4) + prime(2^4) + ... + prime(n^4).at n=4A109796
- Let M(n) be the n X n matrix m(i,j)=min(i,j) for 1<=i,j<=n then a(n) is the trace of M(n)^(-6).at n=8A114358
- Riordan array (f(x), x*f(x)) where f(x) is the g.f. of A059738.at n=40A171505
- Number of emergent parts in all partitions of n.at n=31A182699
- Dispersion of (2*floor(n*sqrt(2))), by antidiagonals.at n=47A191541