6700
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 14756
- Proper Divisor Sum (Aliquot Sum)
- 8056
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2640
- Möbius Function
- 0
- Radical
- 670
- 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
- yes
- 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
- 137
- 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 (Product_{j>=1} (1-(-x)^j) - 1)^10 in powers of x.at n=14A001488
- Consider a 2-D cellular automaton generated by the Schrandt-Ulam rule of A170896, but confined to a semi-infinite strip of width n, starting with one ON cell at the top left corner; a(n) is the period of the resulting structure.at n=47A006447
- Even pentagonal numbers.at n=33A014633
- Numbers k such that the continued fraction for sqrt(k) has period 64.at n=34A020403
- Expansion of 1/((1-7*x)*(1-8*x)*(1-11*x)).at n=3A020968
- a(n) = Sum_{i=0..n} Sum_{j=0..n} T(i,j), T given by A026780.at n=10A026789
- Pentagonal numbers with odd index: a(n) = (2*n+1)*(3*n+1).at n=33A033570
- Numbers whose base-5 representation contains exactly three 0's and two 3's.at n=19A045201
- Iterated procedure 'composite k added to sum of its prime factors reaches a prime' yields 9 skipped primes.at n=38A050776
- Numbers n such that sum of the digits of n is >= the sum of the digits of n^4.at n=12A064210
- a(n) = n^2*(2*n^2 + 1)/3.at n=10A071270
- a(n) = A052217(n)/3.at n=32A088405
- (Prime(prime(n))^2-1)/24.at n=20A092772
- Index of first occurrence of n-th prime in A001203, the continued fraction for Pi.at n=25A107892
- Number of ordered quadruples (i,j,k,l) in range [0..n] satisfying i == j (mod 2), j == k (mod 3) and k == l (mod 4).at n=19A115523
- Numbers k such that the digits of k^3, reversed, include the digits of k as substring.at n=13A115762
- Pentagonal numbers with prime indices.at n=18A116995
- Pentagonal numbers for which the product of the digits is also a pentagonal number.at n=27A117710
- Pentagonal numbers divisible by 5.at n=27A117793
- a(n) = 49n^2 - 28n - 20.at n=11A118058