163

Basic Information

Cardinal Number

one hundred and sixty-three

Ordinal Number

one hundred and sixty third

Roman Numeral

CLXIII

Greek Numeral

ΡΞΓ´

Factorization

163

Standard Form

1.63 × 10²

Different Representations

Binary Form

10100011₂

Ternary Form

20001₃

Quaternary Form

2203₄

Quinary Form

1123₅

Senary Form

431₆

Septenary Form

322₇

Octal Form

243₈

Nonary Form

201₉

Undecimal Form

139₁₁

Duodecimal Form

117₁₂

Tridecimal Form

C7₁₃

Quattuordecimal Form

B9₁₄

Quindecimal Form

AD₁₅

Hexadecimal Form

A3₁₆

Septendecimal Form

9A₁₇

Octodecimal Form

91₁₈

Novemdecimal Form

8B₁₉

Vigesimal Form

83₂₀

Unvigesimal Form

7G₂₁

Duovigesimal Form

79₂₂

Trevigesimal Form

72₂₃

Quattuorvigesimal Form

6J₂₄

Quinvigesimal Form

6D₂₅

Hexavigesimal Form

67₂₆

Septenvigesimal Form

61₂₇

Octovigesimal Form

5N₂₈

Novemvigesimal Form

5I₂₉

Trigesimal Form

5D₃₀

Untrigesimal Form

58₃₁

Duotrigesimal Form

53₃₂

Tretrigesimal Form

4V₃₃

Quattuortrigesimal Form

4R₃₄

Quintrigesimal Form

4N₃₅

Hexatrigesimal Form

4J₃₆

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157	163	167

163 is a 3-digit prime number. 163 has 2 factors, 1 and 163. It is the 38th prime number, and the thirteenth prime number from 101-200.

Proofs[]

— 163 is divisible by 1.

— 163 is not divisible by 2-162.

— 163 is divisible by 163.

Therefore, 163 is a prime number.

As an Exponent of Mersenne Number[]

2¹⁶³ - 1 is divisible by 150,287, 704,161, etc., and is therefore not a prime number.

Relationship with other odd numbers[]

The numbers before[]

151 is the second previous prime number.
153 is a composite number. Its prime factorization is 3² × 17.
155 is also a composite number. Its prime factorization is 5 × 31.
157 is the prime number preceding 163.
- The difference between 163 and 157 is 6. Therefore, they are sexy primes.
159 is a composite number. Its prime factorization is 3 × 53.
161, the odd number preceding 163, is also a composite number. Its prime factorization is 7 × 23.

The numbers after[]

165, the odd number following 163, is a composite number. Its prime factorization is 3 × 5 × 11.
- 165 is a sphenic number since it has exactly three prime factors.
167 is the prime number following 163.
- The difference between 167 and 163 is 4. Therefore, they are cousin primes.
169 is a composite number. It is a square number, equal to 13².
171 is also a composite number. Its prime factorization is 3² × 19.
173 is the prime number following 167.

Trivia[]

163 is a lucky prime and a Fortunate number.
163 is a strong prime, meaning it is greater than the arithmetic mean of its two neighboring primes.
163 is a strictly non-palindromic number, since it is not palindromic in any base from base 2 to 161.
$\pi \approx {\frac {512}{163}}\approx 3.1411,$ and $e\approx {\frac {163}{60}}\approx 2.7166.$
$e^{\pi\sqrt{163}}$ is almost equal to 262,537,412,640,768,744 = 640320³ + 744. The exact value is 262,537,412,640,768,743.99999999999925007259...
The function $f(n)=n^{2}-n+41$ gives prime values for all values of n between 0 and 39, while approximately half of the values are prime for n < 3,000. If $n={\frac {{\sqrt {-163}}-1}{2}},$ 163 is returned.

Navigation[]

Prime Numbers 1-1,000

1-100
1-25	2 • 3 • 5 • 7 • 11 • 13 • 17 • 19 • 23
26-50	29 • 31 • 37 • 41 • 43 • 47
51-75	53 • 59 • 61 • 67 • 71 • 73
76-100	79 • 83 • 89 • 97

101-200
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126-150	127 • 131 • 137 • 139 • 149
151-175	151 • 157 • 163 • 167 • 173
176-200	179 • 181 • 191 • 193 • 197 • 199

201-400
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250-300	251 • 257 • 263 • 269 • 271 • 277 • 281 • 283 • 293
301-350	307 • 311 • 313 • 317 • 331 • 337 • 347 • 349
351-400	353 • 359 • 367 • 373 • 379 • 383 • 389 • 397

401-600
401-450	401 • 409 • 419 • 421 • 431 • 433 • 439 • 443 • 449
450-500	457 • 461 • 463 • 467 • 479 • 487 • 491 • 499
501-550	503 • 509 • 521 • 523 • 541 • 547
551-600	557 • 563 • 569 • 571 • 577 • 587 • 593 • 599

601-800
601-650	601 • 607 • 613 • 617 • 619 • 631 • 641 • 643 • 647
651-700	653 • 659 • 661 • 673 • 677 • 683 • 691
701-750	701 • 709 • 719 • 727 • 733 • 739 • 743
751-800	751 • 757 • 761 • 769 • 773 • 787 • 797

801-1,000
801-850	809 • 811 • 821 • 823 • 827 • 829 • 839
851-900	853 • 857 • 859 • 863 • 877 • 881 • 883 • 887
901-950	907 • 911 • 919 • 929 • 937 • 941 • 947
951-1000	953 • 967 • 971 • 977 • 983 • 991 • 997