53

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	47
Current	53
Next	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 is divisible by 1.

• — 53 is not divisible by 2-52.

• — 53 is divisible by 53.

Therefore, 53 has two factors and is prime.

As an Exponent of Mersenne Number

2⁵³ - 1, which is the number 9,007,199,254,740,991, is divisible by 6,361, 69,431, and 20,394,401, and therefore, it is a composite number.

Relationship with other odd numbers

The numbers before

• 47 is the previous prime number.
  • The difference between 53 and 47 is 6. Therefore, they are sexy primes.
• 49 is a square number, equal to 7².
• The previous odd number, 51, is a composite number. Its prime factorization is 3 * 17.

The numbers after

• The next odd number, 55, is a composite number. Its prime factorization is 5 * 11.
• 57 is a composite number. Its prime factorization is 3 * 19.
• 59 is the next prime number.
  • The difference between 59 and 53 is 6. Therefore, they are sexy primes.

In science

• 53 is the atomic number of iodine.

Trivia

• The sum of the first 53 prime numbers is 5,830, which is divisible by 53. Only a few other numbers share this property.
• 53 is the ninth base 10 self number.
• 53 is a Sophie Germain prime, since $2\times 53+1=107$ is also prime, making 107 its associated safe prime.
• The world record of the length of the shortest password in The Password Game by Neal Agarwal that was posted on social media. The password was submitted on a YouTube video.

Prime Numbers 1-1,000