Number
41
- Positive
- Odd
- Prime
- 2 digits
41 is an odd 2-digit integer and a prime number. It has 2 divisors and a digital root of 5.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityPrime
Absolute value41
Digit count2
Digit sum5
Digital root5repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation41
Distinct prime factors141
Number of divisors2
Sum of divisors σ(n)42
Aliquot sum1sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)40integers below n that share no factor with it
SquarefreeYesno repeated prime factor
All divisors1, 412 in total
Arithmetic
Representations
Decimal41
Binary1010016 bits
Octal51
Hexadecimal29
Base 3615
Roman numeralXLI
In wordsforty-one
Ordinalforty-first
Scientific notation4.1 × 10^1
Engineering notation41
Nearest landmarks
Powers & multiples
41 to the power 21,681
41 to the power 368,921
41 to the power 42,825,761
41 to the power 5115,856,201
First ten multiples41, 82, 123, 164, 205, 246, 287, 328, 369, 410
Powers of twoBetween 2^5 (32) and 2^6 (64)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 2
Divisible by 4No, remainder 1
Divisible by 5No, remainder 1
Divisible by 6No, remainder 5
Divisible by 7No, remainder 6
Divisible by 8No, remainder 1
Divisible by 9No, remainder 5
Divisible by 10No, remainder 1
Divisible by 11No, remainder 8
Divisible by 12No, remainder 5
Divisible by 100No, remainder 41
Collatz (3n + 1) trajectory
Steps to reach 1109the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps41 → 124 → 62 → 31 → 94 → 47 → 142 → 71 → 214 → 107 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage4,100%
41% as a decimal0.41
41% of 10041
41% of 1,000410
As a fraction of 10041/100
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