41

41
Basic Information
Cardinal Number	forty-one
Ordinal Number	forty first
Roman Numeral	XLI
Greek Numeral	ΜΑ´
Factorization	41
Standard Form	4.1 × 101
Different Representations
Binary Form	1010012
Ternary Form	11123
Quaternary Form	2214
Quinary Form	1315
Senary Form	1056
Septenary Form	567
Octal Form	518
Nonary Form	459
Undecimal Form	3811
Duodecimal Form	3512
Tridecimal Form	3213
Quattuordecimal Form	2D14
Quindecimal Form	2B15
Hexadecimal Form	2916
Septendecimal Form	2717
Octodecimal Form	2518
Novemdecimal Form	2319
Vigesimal Form	2120
Unvigesimal Form	1K21
Duovigesimal Form	1J22
Trevigesimal Form	1I23
Quattuorvigesimal Form	1H24
Quinvigesimal Form	1G25
Hexavigesimal Form	1F26
Septenvigesimal Form	1E27
Octovigesimal Form	1D28
Novemvigesimal Form	1C29
Trigesimal Form	1B30
Untrigesimal Form	1A31
Duotrigesimal Form	1932
Tretrigesimal Form	1833
Quattuortrigesimal Form	1734
Quintrigesimal Form	1635
Hexatrigesimal Form	1536
Previous	37
Current	41
Next	43

41 is a prime number from 1-100. 41 has 2 factors, 1 and 41. It is the thirteenth prime number, and the thirteenth prime number from 1-100. The primorial of 41 is 304,250,263,527,210.

Proofs

• — 41 is divisible by 1.

• — 41 is not divisible by 2-40.

• — 41 is divisible by 41.

• Therefore, 41 has 2 factors and is prime.

As an Exponent of Mersenne Number

2⁴¹ - 1, which is the number 2,199,023,255,551, is divisible by 13,367, and is therefore a composite number.

Relationship with other odd numbers

The numbers before

• 35 is a composite number. It can be factored into 5 x 7.
• 37 is the previous prime number.
  • The difference between 41 and 37 is 4. Therefore, they are cousin primes.
• 39 is a composite number. It can be factored into 3 x 13.

The numbers after

• 43 is the next prime number.
  • There are no odd numbers between 41 and 43. As a result, they are twin primes.
• 45, the odd number following 43, is a composite number. It can be factored into 3² x 5.
• 47 is the second next prime number.
  • The difference between 47 and 41 is 6. Therefore, they are sexy primes.

In science

• 41 is the atomic number of niobium.

Trivia

• 41 is a super prime, since its position in the sequence of prime numbers is prime (13th).
• 41 is the sum of the first 6 prime numbers (2 + 3 + 5 + 7 + 11 + 13).
• 41 is the sum of the first 3 Mersenne primes (3 + 7 + 31).
• 41 is a centered square number, since it is the sum of two squares (4² + 5²).
• 41 is the sum of the sums of the divisors of the first 7 positive integers, including trivial divisors.

In telephone

• 41 is International Dialling Code of Switzerland.

Prime Numbers 1-1,000