Number

1,002,001

Positive
Odd
Composite
Perfect square
7 digits

1,002,001 is an odd 7-digit integer and a composite number. It has 27 divisors and a digital root of 4.

Number properties

ParityOddnot divisible by 2

SignPositive

PrimalityComposite

Absolute value1,002,001

Digit count7

Digit sum4

Digital root4repeated digit sum

PalindromicYesreads the same backwards

Perfect squareYes, 1,001²

Happy numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation7^2 × 11^2 × 13^2

Distinct prime factors37, 11, 13

Number of divisors27

Sum of divisors σ(n)1,387,323

Aliquot sum385,322sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)720,720integers below n that share no factor with it

SquarefreeNohas a repeated prime factor

All divisors1, 7, 11, 13, 49, 77, 91, 121, 143, 169, 539, 637, 847, 1,001, 1,183, 1,573, 1,859, 5,929, 7,007, 8,281, 11,011, 13,013, 20,449, 77,077, 91,091, 143,143, 1,002,00127 in total

Arithmetic

Previous number1,002,000

Next number1,002,002

Double2,004,002

Half501,000.5

Square1,004,006,004,001

Cube1,006,015,020,015,006,001

Square root1,001exact

Cube root100.06665556≈

Negation-1,002,001

Reciprocal9.98002996 × 10^-7≈

Representations

Decimal1,002,001

Binary1111010010100001000120 bits

Octal3645021

HexadecimalF4A11

Base 36LH5D

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

In wordsone million, two thousand and one

Ordinalone million, two thousand and first

Scientific notation1.002001 × 10^6

Engineering notation1.002001 × 10^6

Nearest landmarks

Next prime1,002,017+16

Previous prime1,001,989−12

Distance to nearest prime12

Nearest square below1,002,001

Nearest square above1,004,004

Powers & multiples

1,002,001 to the power 21,004,006,004,001

1,002,001 to the power 31,006,015,020,015,006,001

1,002,001 to the power 41,008,028,056,070,056,028,008,001

1,002,001 to the power 51,010,045,120,210,252,210,120,045,010,001

First ten multiples1,002,001, 2,004,002, 3,006,003, 4,008,004, 5,010,005, 6,012,006, 7,014,007, 8,016,008, 9,018,009, 10,020,010

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 1

Divisible by 5No, remainder 1

Divisible by 6No, remainder 1

Divisible by 7Yes

Divisible by 8No, remainder 1

Divisible by 9No, remainder 4

Divisible by 10No, remainder 1

Divisible by 11Yes

Divisible by 12No, remainder 1

Divisible by 100No, remainder 1

Collatz (3n + 1) trajectory

Steps to reach 1152the total stopping time

Highest value reached3,006,0043× the starting value

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

First steps1,002,001 → 3,006,004 → 1,503,002 → 751,501 → 2,254,504 → 1,127,252 → 563,626 → 281,813 → 845,440 → 422,720 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage100,200,100%

1,002,001% as a decimal10,020.01

1,002,001% of 1001,002,001

1,002,001% of 1,00010,020,010

As a fraction of 1001,002,001/100

Read another way

As seconds11 days, 14 hours and 20 minutes

As bytes978.517 KiB

As a 24-bit colour#0F4A11

Keep nerding

Every link below is a page Nerdulator can generate from what it already knows about this value.