6938
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10410
- Proper Divisor Sum (Aliquot Sum)
- 3472
- 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
- 3468
- Möbius Function
- 1
- Radical
- 6938
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 31
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- a(n) = 6*n^2 + 2 for n > 0, a(0)=1.at n=34A005897
- a(0) = 1, a(n) = 24*n^2 + 2 for n>0.at n=17A010014
- Partial sums of A001935; at one time this was conjectured to agree with A007478.at n=31A014605
- Numbers k such that the continued fraction for sqrt(k) has period 27.at n=31A020366
- 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 23.at n=1A031611
- Gaps of 10 in sequence A038593 (upper terms).at n=5A038660
- Numbers ending with '8' that are the difference of two positive cubes.at n=27A038863
- Denominators of continued fraction convergents to sqrt(651).at n=8A042251
- Geometric mean of the digits = 6. In other words, the product of the digits is = 6^k where k is the number of digits.at n=41A061429
- Group the composite numbers so that the sum of the n-th group is a multiple of the n-th prime: (4), (6), (8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22), (24, 25), (26, 27, 28, 30, 32), (33, 34, ...), ... Sequence gives the group sum divided by n-th prime for the n-th group.at n=29A074127
- Sum of 1-fibits in Zeckendorf-expansion A014417(p) summed for all primes p in range [Fib(n+1),Fib(n+2)[ (where Fib = A000045).at n=20A095353
- Values n such that n and n+1 are both in A037073.at n=24A173167
- Half the number of n X n symmetric binary matrices with no element both equal to all its immediate N and W neighbors if they exist and unequal to all its immediate E and S neighbors if they exist.at n=5A192325
- Number of partitions p of n such that (number of numbers in p having multiplicity > 1) = number of 1s in p.at n=41A241090
- Expansion of Product_{k>=1} (1 + (k+1)*x^k).at n=16A267008
- Erroneous version of A005897.at n=34A273981
- Numbers m such that A000041(m) is of the form 2^7 * k for odd k.at n=37A278784
- Number of sets of exactly eight positive integers <= n having a square element sum.at n=12A281868
- Coordination sequence for 3D uniform tiling formed by stacking parallel layers of the 4.8.8 2D tiling (cf. A008576).at n=51A299259
- A variation of A330252: the same rules for a(n) apply with an additional rule a(n) = n if a(n-1) = 0. This sequence lists the n values where a(n) = 0.at n=27A330253