114 (number)

In mathematics

• 114 is an abundant number, a sphenic number and a Harshad number. It is the sum of the first four hyperfactorials, including H. At 114, the Mertens function sets a new low of -6, a record that stands until 197.
• 114 is the smallest positive integer* which has yet to be represented as a³ + b³ + c³, where a, b, and c are integers. It is conjectured that 114 can be represented this way.
• There is no answer to the equation φ = 114, making 114 a nontotient.
• 114 appears in the Padovan sequence, preceded by the terms 49, 65, 86.
• 114 is a repdigit in base 7.