6870
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 16560
- Proper Divisor Sum (Aliquot Sum)
- 9690
- 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
- 1824
- Möbius Function
- 1
- Radical
- 6870
- 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
- 150
- 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 partitions of n into nonprime parts.at n=55A002095
- A jumping problem.at n=17A002466
- Number of ordered triples of integers from [ 1..n ] with no global factor.at n=35A015631
- Molien series for 3-D group R4.at n=15A037243
- Numbers whose base-5 representation contains exactly two 0's and three 4's.at n=19A045213
- The number phi_2(n) of Frobenius partitions that allow up to 2 repetitions of an integer in a row.at n=23A053993
- Numbers k such that prime(k) + prime(k+1) is a square.at n=23A064397
- Numbers k such that 4*k-1, 8*k-1 and 16*k-1 are all primes.at n=39A101790
- Numbers k such that 4*k-1, 8*k-1, 16*k-1 and 32*k-1 are all primes.at n=6A101794
- Sum of the first 2n+1 primes.at n=28A109723
- Number of permutations of length n which avoid the patterns 231, 51234.at n=9A116848
- Floor of the area of consecutive Prime-Indexed Prime triangles.at n=6A119659
- Smaller side not divisible by 37 of right triangles with integer sides and integer side inscribed squares with two vertices on the hypotenuse.at n=8A123697
- Numbers k such that prime(k) + prime(k+1) is a perfect power.at n=29A132746
- a(n) = gcd(Sum_{k=1..n} prime(k), Product{j=1..n} prime(j)).at n=56A132995
- A051838 gives numbers m such that the sum of first m primes divides the product of the first m primes. This sequence gives corresponding values of the sum of first m primes.at n=13A140763
- Averages of twin prime pairs such that p1 * p2 + AverageTwinPrime is prime.at n=28A154667
- Partial sums of A038034.at n=9A178097
- Potential magic constants of 8 X 8 magic squares composed of consecutive primes.at n=13A189188
- Coefficients of a mock theta function.at n=47A192433