6985
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 9216
- Proper Divisor Sum (Aliquot Sum)
- 2231
- 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
- 5040
- Möbius Function
- -1
- Radical
- 6985
- 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
- 106
- 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
- no
- Odd
- yes
Appears in sequences
- Partial sums of A007489.at n=7A014145
- Ordered sequence of distinct terms of the form floor(x^i * floor(x^j)), i,j >= 0, where x = sqrt(5).at n=33A022770
- a(n) = n^3 + (n+1)^3 + (n+2)^3 + (n+3)^3 + (n+4)^3.at n=9A027604
- Lucky numbers with size of gaps equal to 14 (lower terms).at n=34A031896
- Number of partitions of n into parts 4k+1 and 4k+2 with at least one part of each type.at n=50A035624
- Positive numbers having the same set of digits in base 6 and base 9.at n=33A037436
- Denominators of continued fraction convergents to sqrt(694).at n=12A042335
- Numbers m such that the factorizations of m..m+3 have the same number of primes (including multiplicities).at n=32A045940
- a(n) = (2*n-1)*(n^2 -n +6)/6.at n=27A049480
- Zero, together with positive numbers k such that prime(k) - k is a square.at n=32A064370
- a(n) is the first of a triple of consecutive integers, each of which is the product of three distinct primes.at n=11A066509
- Numbers n for which there are exactly five k such that n = k + reverse(k).at n=25A072429
- Triangle T(n,k), 0<= k <= n, read by rows; given by [0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, ...] DELTA [1, 0, 2, 1, 3, 2, 4, 3, 5, 4, 6, 5, ...] where DELTA is the operator defined in A084938.at n=43A094344
- Numbers n such that prime(n) - n is a perfect power.at n=38A107607
- Number of permutations of length n which avoid the patterns 2134, 3241, 3421.at n=8A116763
- Numbers n such that n, n+1, n+2 and n+3 are products of exactly 3 primes.at n=31A124057
- A sequence of triples of squarefree consecutive integers each composed of exactly three primes.at n=33A165936
- Triangle T(n,k), read by rows, given by (1,0,2,1,3,2,4,3,5,4,6,5,7,6,8,7,9,8,...) DELTA (0,1,0,1,0,1,0,1,0,1,0,1,0,1,...) where DELTA is the operator defined in A084938.at n=37A200545
- Sum_{0<j<k<=n} s(k)-s(j), where s(j)=A002620(j) is the j-th quarter-square.at n=18A206806
- Antidiagonal sums of the convolution array A213841.at n=9A213843