Number

1,006,060

Positive
Even
Composite
7 digits

1,006,060 is an even 7-digit integer and a composite number. It has 48 divisors and a digital root of 4.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value1,006,060

Digit count7

Digit sum13

Digital root4repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation2^2 × 5 × 11 × 17 × 269

Distinct prime factors52, 5, 11, 17, 269

Number of divisors48

Sum of divisors σ(n)2,449,440

Aliquot sum1,443,380sum of the proper divisors

ClassificationAbundantthe aliquot sum exceeds the number

Euler's totient φ(n)343,040integers below n that share no factor with it

SquarefreeNohas a repeated prime factor

All divisors1, 2, 4, 5, 10, 11, 17, 20, 22, 34, 44, 55, 68, 85, 110, 170, 187, 220, 269, 340, 374, 538, 748, 935, 1,076, 1,345, 1,870, 2,690, 2,959, 3,740, 4,573, 5,380, 5,918, 9,146, 11,836, 14,795, 18,292, 22,865, 29,590, 45,730, 50,303, 59,180, 91,460, 100,606, 201,212, 251,515, 503,030, 1,006,06048 in total

Arithmetic

Previous number1,006,059

Next number1,006,061

Double2,012,120

Half503,030

Square1,012,156,723,600

Cube1,018,290,393,345,016,000

Square root1,003.025423407≈irrational, shown to 9 decimal places

Cube root100.201593328≈

Negation-1,006,060

Reciprocal9.93976502 × 10^-7≈

Representations

Decimal1,006,060

Binary1111010110011110110020 bits

Octal3654754

HexadecimalF59EC

Base 36LKA4

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

In wordsone million, six thousand and sixty

Ordinalone million, six thousand and sixtieth

Scientific notation1.00606 × 10^6

Engineering notation1.00606 × 10^6

Nearest landmarks

Next prime1,006,063+3

Previous prime1,006,037−23

Distance to nearest prime3

Nearest square below1,006,009

Nearest square above1,008,016

Powers & multiples

1,006,060 to the power 21,012,156,723,600

1,006,060 to the power 31,018,290,393,345,016,000

1,006,060 to the power 41,024,461,233,128,686,796,960,000

1,006,060 to the power 51,030,669,468,201,446,638,949,577,600,000

First ten multiples1,006,060, 2,012,120, 3,018,180, 4,024,240, 5,030,300, 6,036,360, 7,042,420, 8,048,480, 9,054,540, 10,060,600

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

Divisibility tests

Divisible by 2Yes

Divisible by 3No, remainder 1

Divisible by 4Yes

Divisible by 5Yes

Divisible by 6No, remainder 4

Divisible by 7No, remainder 6

Divisible by 8No, remainder 4

Divisible by 9No, remainder 4

Divisible by 10Yes

Divisible by 11Yes

Divisible by 12No, remainder 4

Divisible by 100No, remainder 60

Collatz (3n + 1) trajectory

Steps to reach 1152the total stopping time

Highest value reached1,273,3001× the starting value

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

First steps1,006,060 → 503,030 → 251,515 → 754,546 → 377,273 → 1,131,820 → 565,910 → 282,955 → 848,866 → 424,433 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage100,606,000%

1,006,060% as a decimal10,060.6

1,006,060% of 1001,006,060

1,006,060% of 1,00010,060,600

As a fraction of 1001,006,060/100

Read another way

As seconds11 days, 15 hours and 27 minutes

As bytes982.48 KiB

As a 24-bit colour#0F59EC

Keep nerding

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