6077
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6240
- Proper Divisor Sum (Aliquot Sum)
- 163
- 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
- 5916
- Möbius Function
- 1
- Radical
- 6077
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 155
- 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
- no
- Odd
- yes
Appears in sequences
- Number of points of norm <= n^2 in square lattice.at n=44A000328
- Weighted count of partitions with distinct parts.at n=31A005895
- Number of points on surface of square pyramid: 3*n^2 + 2 (n>0).at n=45A005918
- 5th-order maximal independent sets in cycle graph.at n=49A007388
- If a, b in sequence, so is ab+7.at n=43A009312
- a(0) = 1, a(n) = 27*n^2 + 2 for n>0.at n=15A010017
- Numbers k such that the continued fraction for sqrt(k) has period 64.at n=30A020403
- a(n) = [ C(2n,n)/(n-1) ].at n=7A024499
- Least k such that first k terms of A022300 contain n more 2's than 1's.at n=0A025515
- "AFK" (ordered, size, unlabeled) transform of 1,2,3,4,...at n=13A032007
- Numerators of continued fraction convergents to sqrt(770).at n=4A042484
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 20.at n=17A050969
- Number of character table entries of the symmetric group S_n which are > 0.at n=13A051749
- Numbers n such that n | 7^n + 6^n + 1.at n=16A057298
- Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 22 (most significant digit on right).at n=29A061951
- Number of squarefree integers in the closed interval [10^n, -1 + 2*10^n], i.e., among 10^n consecutive integers beginning with 10^n.at n=4A077642
- Smallest number that can be written in binary representation as concatenation of other primes in exactly n ways.at n=30A090424
- Numerator of A000328(n)/n^2, where A000328(n) is the number of lattice points (x,y) with x^2 + y^2 <= n^2.at n=43A093836
- Least positive integer that can be represented as sum of semiprime and a triangular number in exactly n ways. Triangular numbers include t(0)=0 and (1)=1.at n=45A100591
- {a(n)} is monotone increasing, with a(1)=1, a(2)=3 and, for n>2, a(n) is the smallest integer such that a(n) mod a(j) is never a(i) for any pair i,j with 1<=i<j<n.at n=39A100812