6970
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
- 16
- Divisor Sum
- 13608
- Proper Divisor Sum (Aliquot Sum)
- 6638
- 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
- 2560
- Möbius Function
- 1
- Radical
- 6970
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 181
- 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
- Expansion of Product_{k>=1} (1 - x^k)^(-k^6).at n=4A023875
- a(n) = least m such that if r and s in {1/1, 1/3, 1/5, ..., 1/(2n-1)} satisfy r < s, then r < k/m < (k+2)/m < s for some integer k.at n=36A024841
- Numbers that are the sum of 2 nonzero squares in exactly 4 ways.at n=37A025287
- Numbers that are the sum of 2 nonzero squares in 4 or more ways.at n=38A025295
- Numbers that are the sum of 2 distinct nonzero squares in exactly 4 ways.at n=37A025305
- Numbers that are the sum of 2 distinct nonzero squares in 4 or more ways.at n=38A025314
- a(n) = (d(n)-r(n))/2, where d = A026054 and r is the periodic sequence with fundamental period (1,0,0,0).at n=38A026055
- Pair up the numbers.at n=34A030655
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 18.at n=3A031606
- Numbers whose set of base-13 digits is {2,3}.at n=24A032813
- Denominators of Hurwitz numbers H_n (coefficients in expansion of Weierstrass P-function).at n=19A047817
- Denominators of Hurwitz numbers H_n (coefficients in expansion of Weierstrass P-function).at n=39A047817
- Second pentagonal numbers with even index: a(n) = n*(6*n+1).at n=34A049453
- Engel expansion of 1/e = 0.367879... .at n=41A059193
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 77 ).at n=31A063350
- a(2n) = concatenation of 4n+1 and 4n+2, a(2n+1) = concatenation of the two most nearly equal numbers whose product is a(2n).at n=34A068517
- Numbers k such that k+1, k^2+1 and k^4+1 are primes.at n=28A070325
- Squarefree numbers having exactly three prime gaps.at n=36A073489
- Numbers n such that ((n-1)^2+1)/2 and n^2+1 and ((n+1)^2+1)/2 are prime if n is even or (n-1)^2+1 and (n^2+1)/2 and (n+1)^2+1 are prime if n is odd.at n=35A082612
- a(n) = (3*n+1)*(3*n+4).at n=27A085001