Number

1,000,003

Positive
Odd
Prime
7 digits

1,000,003 is an odd 7-digit integer and a prime number. It has 2 divisors and a digital root of 4.

Number properties

ParityOddnot divisible by 2

SignPositive

PrimalityPrime

Absolute value1,000,003

Digit count7

Digit sum4

Digital root4repeated digit sum

PalindromicNoreads differently backwards

Happy numberYessquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation1,000,003

Distinct prime factors11,000,003

Number of divisors2

Sum of divisors σ(n)1,000,004

Aliquot sum1sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)1,000,002integers below n that share no factor with it

SquarefreeYesno repeated prime factor

All divisors1, 1,000,0032 in total

Arithmetic

Previous number1,000,002

Next number1,000,004

Double2,000,006

Half500,001.5

Square1,000,006,000,009

Cube1,000,009,000,027,000,027

Square root1,000.001499999≈irrational, shown to 9 decimal places

Cube root100.0001≈

Negation-1,000,003

Reciprocal9.99997 × 10^-7≈

Representations

Decimal1,000,003

Binary1111010000100100001120 bits

Octal3641103

HexadecimalF4243

Base 36LFLV

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

In wordsone million and three

Ordinalone million and third

Scientific notation1.000003 × 10^6

Engineering notation1.000003 × 10^6

Nearest landmarks

Next prime1,000,033+30

Previous prime999,983−20

Distance to nearest prime0, it is prime

Nearest square below1,000,000

Nearest square above1,002,001

Powers & multiples

1,000,003 to the power 21,000,006,000,009

1,000,003 to the power 31,000,009,000,027,000,027

1,000,003 to the power 41,000,012,000,054,000,108,000,081

1,000,003 to the power 51,000,015,000,090,000,270,000,405,000,243

First ten multiples1,000,003, 2,000,006, 3,000,009, 4,000,012, 5,000,015, 6,000,018, 7,000,021, 8,000,024, 9,000,027, 10,000,030

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

Divisibility tests

Divisible by 2No, remainder 1

Divisible by 3No, remainder 1

Divisible by 4No, remainder 3

Divisible by 5No, remainder 3

Divisible by 6No, remainder 1

Divisible by 7No, remainder 4

Divisible by 8No, remainder 3

Divisible by 9No, remainder 4

Divisible by 10No, remainder 3

Divisible by 11No, remainder 4

Divisible by 12No, remainder 7

Divisible by 100No, remainder 3

Collatz (3n + 1) trajectory

Steps to reach 1113the total stopping time

Highest value reached4,500,0164× the starting value

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

First steps1,000,003 → 3,000,010 → 1,500,005 → 4,500,016 → 2,250,008 → 1,125,004 → 562,502 → 281,251 → 843,754 → 421,877 → …

Last steps… → 32 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage100,000,300%

1,000,003% as a decimal10,000.03

1,000,003% of 1001,000,003

1,000,003% of 1,00010,000,030

As a fraction of 1001,000,003/100

Read another way

As seconds11 days, 13 hours and 46 minutes

As bytes976.565 KiB

As a 24-bit colour#0F4243

Keep nerding

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