Number

40,248

Positive
Even
Composite
5 digits

40,248 is an even 5-digit integer and a composite number. It has 48 divisors and a digital root of 9.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value40,248

Digit count5

Digit sum18

Digital root9repeated digit sum

PalindromicNoreads differently backwards

Happy numberYessquared-digit sums reach 1

Harshad numberYesdivisible by its own digit sum

Factors & divisors

Prime factorisation2^3 × 3^2 × 13 × 43

Distinct prime factors42, 3, 13, 43

Number of divisors48

Sum of divisors σ(n)120,120

Aliquot sum79,872sum of the proper divisors

ClassificationAbundantthe aliquot sum exceeds the number

Euler's totient φ(n)12,096integers below n that share no factor with it

SquarefreeNohas a repeated prime factor

All divisors1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 43, 52, 72, 78, 86, 104, 117, 129, 156, 172, 234, 258, 312, 344, 387, 468, 516, 559, 774, 936, 1,032, 1,118, 1,548, 1,677, 2,236, 3,096, 3,354, 4,472, 5,031, 6,708, 10,062, 13,416, 20,124, 40,24848 in total

Arithmetic

Previous number40,247

Next number40,249

Double80,496

Half20,124

Square1,619,901,504

Cube65,197,795,732,992

Square root200.619041968≈irrational, shown to 9 decimal places

Cube root34.27005237≈

Negation-40,248

Reciprocal0.000024846≈

Representations

Decimal40,248

Binary100111010011100016 bits

Octal116470

Hexadecimal9D38

Base 36V20

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

In wordsforty thousand, two hundred and forty-eight

Ordinalforty thousand, two hundred and forty-eighth

Scientific notation4.0248 × 10^4

Engineering notation40.248 × 10^3

Nearest landmarks

Next prime40,253+5

Previous prime40,241−7

Distance to nearest prime5

Nearest square below40,000

Nearest square above40,401

Powers & multiples

40,248 to the power 21,619,901,504

40,248 to the power 365,197,795,732,992

40,248 to the power 42,624,080,882,661,462,016

40,248 to the power 5105,614,007,365,358,523,219,968

First ten multiples40,248, 80,496, 120,744, 160,992, 201,240, 241,488, 281,736, 321,984, 362,232, 402,480

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

Divisibility tests

Divisible by 2Yes

Divisible by 3Yes

Divisible by 4Yes

Divisible by 5No, remainder 3

Divisible by 6Yes

Divisible by 7No, remainder 5

Divisible by 8Yes

Divisible by 9Yes

Divisible by 10No, remainder 8

Divisible by 11No, remainder 10

Divisible by 12Yes

Divisible by 100No, remainder 48

Collatz (3n + 1) trajectory

Steps to reach 1119the total stopping time

Highest value reached103,3362× the starting value

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

First steps40,248 → 20,124 → 10,062 → 5,031 → 15,094 → 7,547 → 22,642 → 11,321 → 33,964 → 16,982 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage4,024,800%

40,248% as a decimal402.48

40,248% of 10040,248

40,248% of 1,000402,480

As a fraction of 10040,248/100

Read another way

As seconds11 hours, 10 minutes and 48 seconds

As bytes39.305 KiB

As a 24-bit colour#009D38

Keep nerding

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