76 (number) explained
Number: | 76 |
Divisor: | 1, 2, 4, 19, 38, 76 |
76 (seventy-six) is the natural number following 75 and preceding 77.
In mathematics
76 is:
- a composite number; a square-prime, of the form (p2, q) where q is a higher prime. It is the ninth of this general form and the seventh of the form (22.q).
- a Lucas number.[1]
- a telephone or involution number, the number of different ways of connecting 6 points with pairwise connections.[2]
- a nontotient.[3]
- a 14-gonal number.[4]
- a centered pentagonal number.[5]
- an Erdős–Woods number since it is possible to find sequences of 76 consecutive integers such that each inner member shares a factor with either the first or the last member.[6]
- with an aliquot sum of 64; within an aliquot sequence of two composite numbers (76,64,63,1,0) to the Prime in the 63-aliquot tree.
- an automorphic number in base 10.[7] It is one of two 2-digit numbers whose square, 5,776, and higher powers, end in the same two digits. The other is .
There are 76 unique compact uniform hyperbolic honeycombs in the third dimension that are generated from Wythoff constructions.
In science
In other fields
Seventy-six is also:
See also
Notes and References
- Web site: Sloane's A000032 : Lucas numbers. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. 2016-05-29.
- Web site: Sloane's A000085 : Involution numbers. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. 2021-12-03.
- Web site: Sloane's A005277 : Nontotients. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. 2016-05-29.
- Web site: Sloane's A051866 : 14-gonal numbers. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. 2016-05-29.
- Web site: Sloane's A005891 : Centered pentagonal numbers. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. 2016-05-29.
- Web site: Sloane's A059756 : Erdős-Woods numbers. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. 2016-05-29.
- Web site: Sloane's A003226 : Automorphic numbers. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. 2016-05-29.