6772
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 11858
- Proper Divisor Sum (Aliquot Sum)
- 5086
- 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
- 3384
- Möbius Function
- 0
- Radical
- 3386
- Omega Function (Ω)
- 3
- 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
- 36
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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 the continued fraction for sqrt(k) has period 70.at n=20A020409
- a(n) = Sum_{i=1..floor((n+2)/4)} a(2i-1)*a(n-2i+1), with a(1)=a(2)=1 and a(3)=4.at n=13A024949
- Numbers with exactly five distinct base-9 digits.at n=11A031986
- Number of partitions of n with equal nonzero number of parts congruent to each of 0, 1 and 3 (mod 5).at n=56A035583
- Positive numbers having the same set of digits in base 6 and base 9.at n=30A037436
- Related to enumeration of edge-rooted catafusenes.at n=14A039660
- Number of nonempty subsets of {1,2,...,n} in which exactly 3/4 of the elements are <= (n-2)/2.at n=20A047186
- Numbers n such that 57*2^n-1 is prime.at n=24A050554
- a(n)^2 is a square whose digits occur with an equal minimum frequency of 2.at n=24A052049
- Binary encoding of quadratic residue set of n. L(1/n) is the most significant bit, L(n-1/n) is the least significant bit, i.e., the rows of A055088 interpreted as binary numbers.at n=13A055094
- McKay-Thompson series of class 10b for Monster.at n=49A058103
- McKay-Thompson series of class 38A for Monster.at n=41A058657
- Numbers k such that prime(k+2)-(k+2)*tau(k+2) = prime(k-2)-(k-2)*tau(k-2) where tau(k) = A000005(k) is the number of divisors of k.at n=22A067354
- a(n) = Sum_{k=0..n} C(floor((n+1)/2),floor((k+1)/2)) * 3^k.at n=7A097169
- Numbers n such that 9*10^n + 8*R_n - 7 is prime, where R_n = 11...1 is the repunit (A002275) of length n.at n=11A103107
- Number of partitions of n such that all parts, with the possible exception of the smallest, appear only once.at n=41A115029
- 3*Volume of the root-n Waterman polyhedron of void-center type as defined in A119870.at n=36A119878
- Number of binary words of length n containing at least one subword 10^{7}1 and no subwords 10^{i}1 with i<7.at n=43A143287
- a(n) = 8 - 12*n + 5*n^2.at n=37A145995
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 1), (1, 0, -1), (1, 1, 1)}.at n=8A149272