6702
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 13416
- Proper Divisor Sum (Aliquot Sum)
- 6714
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 2232
- Möbius Function
- -1
- Radical
- 6702
- 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
- 137
- Smith Number
- yes
- 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
- Numbers k such that 33*2^k - 1 is prime.at n=33A002240
- Coordination sequence for quartz.at n=46A008261
- a(1) = 7; a(n+1) = a(n)-th nonprime, where nonprimes begin at 1.at n=29A025006
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 54.at n=26A031552
- "DGK" (bracelet, element, unlabeled) transform of 1,3,5,7,...at n=12A032234
- Consider the Diophantine equation x^3 + y^3 = z^3 - 1 (x < y < z) or 'Fermat near misses'. The values of z (see A050787) are arranged in monotonically increasing order. Sequence gives values of y.at n=14A050789
- At these values of k the first, 2nd and 3rd cyclotomic polynomials all give prime numbers.at n=29A070020
- Smallest index i such that next_prime( 2*prime(i) ) - 2*prime(i) = 2n - 1.at n=29A074973
- Numbers k such that k*((2^61-1)^2) - 1 and k*((2^61-1)^2) + 1 are twin primes.at n=2A099229
- Number of returns to the x-axis (i.e., d or u steps hitting the x-axis) in all Grand Motzkin paths of length n. (A Grand Motzkin path of length n is a path in the half-plane x>=0, starting at (0,0), ending at (n,0) and consisting of steps u=(1,1), d=(1,-1) and h=(1,0).).at n=7A109194
- Numbers n such that first occurrence of the 10 digits of the i-th root of n contain all the digits from 0 to 9.at n=5A119521
- Multiply-Add Recurrence Invariant (MARI) numbers.at n=27A121235
- Triangle read by rows: T(n,k) = number of unlabeled bicolored graphs with no isolated nodes having 2n nodes and k edges, with n nodes of each color. Here n >= 0, 0 <= k <= n^2.at n=76A123547
- Admirable numbers in the middle of twin primes.at n=25A135502
- Number of walks within N^2 (the first quadrant of Z^2) starting and ending at (0,0) and consisting of n steps taken from {(-1, -1), (-1, 0), (-1, 1), (0, -1), (1, -1), (1, 1)}.at n=9A151356
- Number of equivalence classes of connected graphs on n nodes up to sequences of edge local complementation and isomorphism.at n=8A156800
- A triangle related to the GF(z) formulas of the rows of the ED4 array A167584.at n=19A167594
- Numbers that are divisible by exactly 3 primes (counted with multiplicity) and sandwiched between primes.at n=24A171179
- Partial sums of round(n^2/5).at n=46A173690
- Parameters k for which the Tate-Shafarevich group Ш of the elliptic curve y^2=x^3-k has order 25.at n=5A179139