Nerdulator> put something in

Number

1,006,123

  • Positive
  • Odd
  • Prime
  • 7 digits

1,006,123 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 value1,006,123
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 factorisation1,006,123
Distinct prime factors11,006,123
Number of divisors2
Sum of divisors σ(n)1,006,124
Aliquot sum1sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)1,006,122integers below n that share no factor with it
SquarefreeYesno repeated prime factor
All divisors1, 1,006,1232 in total

Arithmetic

Previous number1,006,122
Next number1,006,124
Double2,012,246
Cube1,018,481,702,945,182,867
Square root1,003.056827902irrational, shown to 9 decimal places
Cube root100.203684843
Negation-1,006,123
Reciprocal9.93914263 × 10^-7

Representations

Decimal1,006,123
Binary1111010110100010101120 bits
Octal3655053
HexadecimalF5A2B
Base 36LKBV
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsone million, six thousand, one hundred and twenty-three
Ordinalone million, six thousand, one hundred and twenty-third
Scientific notation1.006123 × 10^6
Engineering notation1.006123 × 10^6

Nearest landmarks

Next prime1,006,133+10
Previous prime1,006,091−32
Distance to nearest prime0, it is prime
Nearest square below1,006,009
Nearest square above1,008,016

Powers & multiples

1,006,123 to the power 21,012,283,491,129
1,006,123 to the power 31,018,481,702,945,182,867
1,006,123 to the power 41,024,717,866,412,316,221,694,641
1,006,123 to the power 51,030,992,213,908,358,833,920,077,286,843
First ten multiples1,006,123, 2,012,246, 3,018,369, 4,024,492, 5,030,615, 6,036,738, 7,042,861, 8,048,984, 9,055,107, 10,061,230
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 6
Divisible by 8No, remainder 3
Divisible by 9No, remainder 4
Divisible by 10No, remainder 3
Divisible by 11No, remainder 8
Divisible by 12No, remainder 7
Divisible by 100No, remainder 23

Collatz (3n + 1) trajectory

Steps to reach 190the total stopping time
Highest value reached4,527,5564× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps1,006,123 → 3,018,370 → 1,509,185 → 4,527,556 → 2,263,778 → 1,131,889 → 3,395,668 → 1,697,834 → 848,917 → 2,546,752 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage100,612,300%
1,006,123% as a decimal10,061.23
1,006,123% of 1001,006,123
1,006,123% of 1,00010,061,230
As a fraction of 1001,006,123/100

Read another way

As bytes982.542 KiB
As a 24-bit colour#0F5A2B

Keep nerding

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

Nerdulate something else

Nothing in mind? Surprise me · today’s page

Every value on this page was computed from “1006123” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.