Number

37,049

Positive
Odd
Prime
5 digits

37,049 is an odd 5-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 value37,049

Digit count5

Digit sum23

Digital root5repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation37,049

Distinct prime factors137,049

Number of divisors2

Sum of divisors σ(n)37,050

Aliquot sum1sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)37,048integers below n that share no factor with it

SquarefreeYesno repeated prime factor

All divisors1, 37,0492 in total

Arithmetic

Previous number37,048

Next number37,050

Double74,098

Half18,524.5

Square1,372,628,401

Cube50,854,509,628,649

Square root192.48116791≈irrational, shown to 9 decimal places

Cube root33.336921836≈

Negation-37,049

Reciprocal0.0000269913≈

Representations

Decimal37,049

Binary100100001011100116 bits

Octal110271

Hexadecimal90B9

Base 36SL5

Roman numeralNot defined above 3,999there is no agreed standard notation

In wordsthirty-seven thousand and forty-nine

Ordinalthirty-seven thousand and forty-ninth

Scientific notation3.7049 × 10^4

Engineering notation37.049 × 10^3

Nearest landmarks

Next prime37,057+8

Previous prime37,039−10

Distance to nearest prime0, it is prime

Nearest square below36,864

Nearest square above37,249

Powers & multiples

37,049 to the power 21,372,628,401

37,049 to the power 350,854,509,628,649

37,049 to the power 41,884,108,727,231,816,801

37,049 to the power 569,804,344,235,211,580,660,249

First ten multiples37,049, 74,098, 111,147, 148,196, 185,245, 222,294, 259,343, 296,392, 333,441, 370,490

Powers of twoBetween 2^15 (32,768) and 2^16 (65,536)

Divisibility tests

Divisible by 2No, remainder 1

Divisible by 3No, remainder 2

Divisible by 4No, remainder 1

Divisible by 5No, remainder 4

Divisible by 6No, remainder 5

Divisible by 7No, remainder 5

Divisible by 8No, remainder 1

Divisible by 9No, remainder 5

Divisible by 10No, remainder 9

Divisible by 11No, remainder 1

Divisible by 12No, remainder 5

Divisible by 100No, remainder 49

Collatz (3n + 1) trajectory

Steps to reach 1142the total stopping time

Highest value reached125,0443× the starting value

Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven

First steps37,049 → 111,148 → 55,574 → 27,787 → 83,362 → 41,681 → 125,044 → 62,522 → 31,261 → 93,784 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage3,704,900%

37,049% as a decimal370.49

37,049% of 10037,049

37,049% of 1,000370,490

As a fraction of 10037,049/100

Read another way

As seconds10 hours, 17 minutes and 29 seconds

As bytes36.181 KiB

As a 24-bit colour#0090B9

Keep nerding

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