118
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Number
$118$ (one hundred and eighteen) is:
- $2 \times 59$
- The $37$th semiprime:
- $118 = 2 \times 59$
- The $15$th nontotient after $14$, $26$, $34$, $38$, $50$, $62$, $68$, $74$, $76$, $86$, $90$, $94$, $98$, $114$:
- $\nexists m \in \Z_{>0}: \map \phi m = 118$
- where $\map \phi m$ denotes the Euler $\phi$ function
- The $4$th term of the $2$nd $5$-tuple of consecutive integers have the property that they are not values of the divisor sum function $\map {\sigma_1} n$ for any $n$:
- $\tuple {115, 116, 117, 118, 119}$
- The smallest positive integer which is the sum of $4$ distinct ordered triples, each of which has the same product:
- $118 = 14 + 50 + 54 = 15 + 40 + 63 = 18 + 30 + 70 = 21 + 25 + 72$
- each of which has a product of $37 \, 800$
Also see
- Previous ... Next: Nontotient
- Previous ... Next: Semiprime Number
- Previous ... Next: Quintuplets of Consecutive Integers which are not Divisor Sum Values
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $118$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $118$