Changes: 53

Latest revision as of 18:00, 6 November 2023

53

Basic Information

Cardinal Number

fifty-three

Ordinal Number

fifty third

Roman Numeral

LIII

Greek Numeral

ΝΓ´

Factorization

53

Standard Form

5.3 × 10¹

Different Representations

Binary Form

110101₂

Ternary Form

1222₃

Quaternary Form

311₄

Quinary Form

203₅

Senary Form

125₆

Septenary Form

104₇

Octal Form

65₈

Nonary Form

58₉

Undecimal Form

49₁₁

Duodecimal Form

45₁₂

Tridecimal Form

41₁₃

Quattuordecimal Form

3B₁₄

Quindecimal Form

38₁₅

Hexadecimal Form

35₁₆

Septendecimal Form

32₁₇

Octodecimal Form

2H₁₈

Novemdecimal Form

2F₁₉

Vigesimal Form

2D₂₀

Unvigesimal Form

2B₂₁

Duovigesimal Form

29₂₂

Trevigesimal Form

27₂₃

Quattuorvigesimal Form

25₂₄

Quinvigesimal Form

23₂₅

Hexavigesimal Form

21₂₆

Septenvigesimal Form

1Q₂₇

Octovigesimal Form

1P₂₈

Novemvigesimal Form

1O₂₉

Trigesimal Form

1N₃₀

Untrigesimal Form

1M₃₁

Duotrigesimal Form

1L₃₂

Tretrigesimal Form

1K₃₃

Quattuortrigesimal Form

1J₃₄

Quintrigesimal Form

1I₃₅

Hexatrigesimal Form

1H₃₆

Previous	Current	Next
47	53	59

53 is a prime number from 1-100. 53 has 2 factors, 1 and 53. It is the sixteenth prime number, and the sixteenth prime number from 1-100.

Proofs

— 53 can be divided by 1.

— 53 cannot be divided by 2-52

— 53 can be divided by 53.

As an Exponent of Mersenne Number

2⁵³ - 1, which is the number 9,007,199,254,740,991, is divisible by numbers such as 6,361 and 69,431, and therefore not a prime number.

Relationship with other odd numbers

The numbers before

The previous odd number, 51, is not a prime number. It can be factored into 3 x 17.
The odd number previous to 51 is 49. 49 is not a prime number. It is the square number, being 7² = 49.
The odd number previous to 49 is 47. 47 is a prime number.
- 47 and 53 are six numbers apart; therefore, they are sexy primes.

The numbers after

The next odd number, 55, is not a prime number. It is divisible by 5 and 11.
57, the odd number following 55, is also not a prime number. It is divisible by 3 and 19.
59, the odd number following 57, is a prime number.
- 53 and 59 are six numbers apart; therefore, they are sexy primes.

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 7: / Line 7: @@
 |cardinal-number = fifty-three
 |Base-2 Form = 110101
-|Base-3 Form = 1222
-|Base-4 Form = 311
-|Base-5 Form = 203
-|Base-6 Form = 125
-|Base-7 Form = 104
 |Base-8 Form = 65
-|Base-9 Form = 58
+|Base-16 Form = 35
-|previous = [[47|<font color="white">47</font>]]
+|previous = 47
+|next = 59|standard-form = 5.3{{E|1}}}}
-|next = [[59|<font color="white">59</font>]]}}53 is a [http://prime-numbers.wikia.com/wiki/1-100 prime number from 1-100]. 53 has 2 factors, 1 and 53. It is the sixteenth prime number, and the sixteenth prime number from 1-100.
+is a [http://prime-numbers.wikia.com/wiki/1-100 prime number from 1-100]. 53 has 2 factors, 1 and 53. It is the sixteenth prime number, and the sixteenth prime number from 1-100.
 ==Proofs==
-*{{Divisibility number|Yes|1}}
+*{{Divisibility number|Yes|1.}}
 *{{Divisibility number|No|2-52}}
-*{{Divisibility number|Yes|{{PAGENAME}}}}
+*{{Divisibility number|Yes|{{PAGENAME}}.}}
+==As an Exponent of Mersenne Number==
+<sup>53</sup> - 1, which is the number 9,007,199,254,740,991, is divisible by numbers such as [[6,361]] and [[69,431]], and therefore not a prime number.
 ==Relationship with other odd numbers==
 ===The numbers before===
@@ Line 40: / Line 40: @@
 [[Category:Balanced Primes]]
 [[Category:Chen Primes]]
+[[Category:Russian-doll primes]]
+[[Category:Multiplicative Persistence 2]]
+[[Category:Oban Primes]]
+[[Category:Nban Primes]]
+[[Category:Two-sided Primes]]
+[[Category:Sophie Germain Primes]]
+[[Category:Restricted right-truncatable Primes]]
+[[Category:Prime-digit Primes]]