Number

1,002,003

Positive
Odd
Composite
7 digits

1,002,003 is an odd 7-digit integer and a composite number. It has 8 divisors and a digital root of 6.

Number properties

ParityOddnot divisible by 2

SignPositive

PrimalityComposite

Absolute value1,002,003

Digit count7

Digit sum6

Digital root6repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation3 × 19 × 17,579

Distinct prime factors33, 19, 17,579

Number of divisors8

Sum of divisors σ(n)1,406,400

Aliquot sum404,397sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)632,808integers below n that share no factor with it

SquarefreeYesno repeated prime factor

All divisors1, 3, 19, 57, 17,579, 52,737, 334,001, 1,002,0038 in total

Arithmetic

Previous number1,002,002

Next number1,002,004

Double2,004,006

Half501,001.5

Square1,004,010,012,009

Cube1,006,021,044,063,054,027

Square root1,001.000999001≈irrational, shown to 9 decimal places

Cube root100.066722138≈

Negation-1,002,003

Reciprocal9.98001004 × 10^-7≈

Representations

Decimal1,002,003

Binary1111010010100001001120 bits

Octal3645023

HexadecimalF4A13

Base 36LH5F

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

In wordsone million, two thousand and three

Ordinalone million, two thousand and third

Scientific notation1.002003 × 10^6

Engineering notation1.002003 × 10^6

Nearest landmarks

Next prime1,002,017+14

Previous prime1,001,989−14

Distance to nearest prime14

Nearest square below1,002,001

Nearest square above1,004,004

Powers & multiples

1,002,003 to the power 21,004,010,012,009

1,002,003 to the power 31,006,021,044,063,054,027

1,002,003 to the power 41,008,036,104,214,312,324,216,081

1,002,003 to the power 51,010,055,200,531,053,591,801,485,810,243

First ten multiples1,002,003, 2,004,006, 3,006,009, 4,008,012, 5,010,015, 6,012,018, 7,014,021, 8,016,024, 9,018,027, 10,020,030

Powers of twoBetween 2^19 (524,288) and 2^20 (1,048,576)

Divisibility tests

Divisible by 2No, remainder 1

Divisible by 3Yes

Divisible by 4No, remainder 3

Divisible by 5No, remainder 3

Divisible by 6No, remainder 3

Divisible by 7No, remainder 2

Divisible by 8No, remainder 3

Divisible by 9No, remainder 6

Divisible by 10No, remainder 3

Divisible by 11No, remainder 2

Divisible by 12No, remainder 3

Divisible by 100No, remainder 3

Collatz (3n + 1) trajectory

Steps to reach 1113the total stopping time

Highest value reached34,707,68834× the starting value

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

First steps1,002,003 → 3,006,010 → 1,503,005 → 4,509,016 → 2,254,508 → 1,127,254 → 563,627 → 1,690,882 → 845,441 → 2,536,324 → …

Last steps… → 32 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage100,200,300%

1,002,003% as a decimal10,020.03

1,002,003% of 1001,002,003

1,002,003% of 1,00010,020,030

As a fraction of 1001,002,003/100

Read another way

As seconds11 days, 14 hours and 20 minutes

As bytes978.519 KiB

As a 24-bit colour#0F4A13

Keep nerding

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