9670
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 17424
- Proper Divisor Sum (Aliquot Sum)
- 7754
- 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
- 3864
- Möbius Function
- -1
- Radical
- 9670
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 21
- 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
- Number of ordered quadruples of integers from [ 1..n ] with no global factor.at n=20A015634
- Number of n-digit triangular numbers.at n=7A068094
- Numbers k such that numerator(Bernoulli(2*k)/(2*k)) is different from numerator(Bernoulli(2*k)/(2*k*(2*k-1))).at n=35A090495
- Let p = n-th irregular prime, A000928(n). Then a(n) = smallest value of m such that numerator(Bernoulli(2*m)/(2*m)) / numerator(Bernoulli(2*m)/(2*m*(2*m-1))) equals p.at n=8A092291
- Least exponent k such that 3^k has exactly n consecutive 4's in its decimal representation.at n=7A131549
- a(0)=1; thereafter a(n)=a(n-1)+a([n/Phi]), where Phi=(1+sqrt(5))/2, the golden ratio.at n=37A131882
- Number of (w,x,y,z) with all terms in {1,...,n} and w<x+y+z.at n=10A212090
- 20k^2-40k+10 interleaved with 20k^2-20k+10 for k>=0.at n=46A216875
- a(0) = 3; a(n+1) is the smallest number not in the sequence such that a(n+1) - Sum_{i=1..n} a(i) divides a(n+1) - Product_{i=1..n} a(i).at n=20A254344
- Molien series for invariants of finite Coxeter group A_8.at n=57A266777
- Numbers that are the sum of ten fourth powers in ten or more ways.at n=23A345603
- Numbers that are the sum of ten fourth powers in exactly ten ways.at n=17A345862
- Number of edges in a graph of n adjacent rectangles in a row with all possible diagonals drawn, as in A306302, but without the rectangles' edges which are perpendicular to the row.at n=12A369177
- Numbers k which have a factorization k = f_1*f_2*...*f_r where f_i >= 1 and the digits of {k, f_1, f_2, ..., f_r} together give 0,1,...,9 exactly once.at n=16A372259
- Number of distinct n X n patterns in the squiral tiling.at n=27A375874