263 (number)

263 (two hundred [and] sixty-three) is the natural number between 262 and 264. It is also a prime number.

← 262 263 264 →
← 260 261 262 263 264 265 266 267 268 269 → List of numbers Integers ← 0 100 200 300 400 500 600 700 800 900 →
Cardinal	two hundred sixty-three
Ordinal	263rd (two hundred sixty-third)
Factorization	prime
Prime	56th
Greek numeral	ΣΞΓ´
Roman numeral	CCLXIII, cclxiii
Binary	1000001112
Ternary	1002023
Senary	11156
Octal	4078
Duodecimal	19B12
Hexadecimal	10716

In mathematics

263 is the smallest prime number in base 10 whose expansion in any smaller base is never prime when interpreted in base 10:^[1]

Expansions of 263 in bases 2 through 9:

Base	Expansion of 263	Factorisation of expansion in base 10
2	1000001112	467 × 214133
3	1002023	2 × 50101
4	100134	17 × 19 × 31
5	20235	7 × 17 × 17
6	11156	5 × 223
7	5247	2 × 2 × 131
8	4078	11 × 37
9	3229	2 × 7 × 23

It is also:

• a balanced prime,^[2]
• an irregular prime,^[3]
• a Ramanujan prime,^[4]
• a Chen prime,^[5] and
• a safe prime.^[6]

It is also a strictly non-palindromic number and a happy number.^[7]