Changes: 173

Latest revision as of 02:39, 10 October 2023

173

Basic Information

Cardinal Number

one hundred and seventy-three

Ordinal Number

one hundred and seventy third

Roman Numeral

CLXXIII

Greek Numeral

ΡΟΓ´

Factorization

173

Standard Form

1.73 × 10²

Different Representations

Binary Form

10101101₂

Ternary Form

20102₃

Quaternary Form

2231₄

Quinary Form

1143₅

Senary Form

445₆

Septenary Form

335₇

Octal Form

255₈

Nonary Form

212₉

Undecimal Form

148₁₁

Duodecimal Form

125₁₂

Tridecimal Form

104₁₃

Quattuordecimal Form

C5₁₄

Quindecimal Form

B8₁₅

Hexadecimal Form

AD₁₆

Septendecimal Form

A3₁₇

Octodecimal Form

9B₁₈

Novemdecimal Form

92₁₉

Vigesimal Form

8D₂₀

Unvigesimal Form

85₂₁

Duovigesimal Form

7J₂₂

Trevigesimal Form

7C₂₃

Quattuorvigesimal Form

75₂₄

Quinvigesimal Form

6N₂₅

Hexavigesimal Form

6H₂₆

Septenvigesimal Form

6B₂₇

Octovigesimal Form

65₂₈

Novemvigesimal Form

5S₂₉

Trigesimal Form

5N₃₀

Untrigesimal Form

5I₃₁

Duotrigesimal Form

5D₃₂

Tretrigesimal Form

58₃₃

Quattuortrigesimal Form

53₃₄

Quintrigesimal Form

4X₃₅

Hexatrigesimal Form

4T₃₆

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167	173	179

173 is a prime number from 101-200. 173 has 2 factors, 1 and 173. It is the 40th prime number, and the fifteenth prime number from 101-200.

Proofs

— 173 can be divided by 1.

— 173 cannot be divided by 2-172.

— 173 can be divided by 173.

As an Exponent of Mersenne Number

2¹⁷³ - 1 is divisible by number such as 730,753 and 1,505,447, and is therefore not a prime number.

Relationship with other odd numbers

The numbers before

The previous prime number is 167.
- Notably, 169 is not a prime number. It is a square number, being 13² = 169.
- 167 and 173 are six numbers apart; therefore, they are sexy primes.
The previous prime number before 167 is 163.

The numbers after

The next prime number is 179.
- 173 and 179 are six numbers apart; therefore, they are sexy primes.
- 171 and 177 are all divisible by 3.
- 179 is, indeed, a twin prime with 181.

Trivia

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
101-125	101 • 103 • 107 • 109 • 113
126-150	127 • 131 • 137 • 139 • 149
151-175	151 • 157 • 163 • 167 • 173
176-200	179 • 181 • 191 • 193 • 197 • 199

201-400
201-250	211 • 223 • 227 • 229 • 233 • 239 • 241
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

@@ Line 15: / Line 15: @@
 *{{Divisibility number|No|2-172.}}
 *{{Divisibility number|Yes|{{PAGENAME}}.}}
+==As an Exponent of Mersenne Number==
+<sup>173</sup> - 1 is divisible by number such as [[730,753]] and [[1,505,447]], and is therefore not a prime number.
 ==Relationship with other odd numbers==
 ===The numbers before===
@@ Line 24: / Line 26: @@
 *The next prime number is 179.
 **173 and 179 are six numbers apart; therefore, they are sexy primes.
+**171 and 177 are all divisible by 3.
-*181 is the next prime number after 179.
+**179 is, indeed, a twin prime with 181.
 ==Trivia==
 *
@@ Line 34: / Line 38: @@
 [[Category:Sexy Primes]]
 [[Category:Multiplicative Persistence 2]]
+[[Category:Additive Primes]]
+[[Category:Iban Primes]]
+[[Category:Sophie Germain Primes]]