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Number

1,001

  • Positive
  • Odd
  • Composite
  • 4 digits

1,001 is an odd 4-digit integer and a composite number. It has 8 divisors and a digital root of 2.

The canonical address for this page is /1001.

Number properties

ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value1,001
Digit count4
Digit sum2
Digital root2repeated digit sum
PalindromicYesreads the same backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation7 × 11 × 13
Distinct prime factors37, 11, 13
Number of divisors8
Sum of divisors σ(n)1,344
Aliquot sum343sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)720integers below n that share no factor with it
SquarefreeYesno repeated prime factor
All divisors1, 7, 11, 13, 77, 91, 143, 1,0018 in total

Arithmetic

Previous number1,000
Next number1,002
Double2,002
Half500.5
Square1,002,001
Cube1,003,003,001
Square root31.638584039≈irrational, shown to 9 decimal places
Cube root10.003332223≈
Negation-1,001
Reciprocal0.000999001≈

Representations

Decimal1,001
Binary111110100110 bits
Octal1751
Hexadecimal3E9
Base 36RT
Roman numeralMI
In wordsone thousand and one
Ordinalone thousand and first
Scientific notation1.001 × 10^3
Engineering notation1.001 × 10^3

Nearest landmarks

Next prime1,009+8
Previous prime997−4
Distance to nearest prime4
Nearest square below961
Nearest square above1,024

Powers & multiples

1,001 to the power 21,002,001
1,001 to the power 31,003,003,001
1,001 to the power 41,004,006,004,001
1,001 to the power 51,005,010,010,005,001
First ten multiples1,001, 2,002, 3,003, 4,004, 5,005, 6,006, 7,007, 8,008, 9,009, 10,010
Powers of twoBetween 2^9 (512) and 2^10 (1,024)

Divisibility tests

Divisible by 2No, remainder 1
Divisible by 3No, remainder 2
Divisible by 4No, remainder 1
Divisible by 5No, remainder 1
Divisible by 6No, remainder 5
Divisible by 7Yes
Divisible by 8No, remainder 1
Divisible by 9No, remainder 2
Divisible by 10No, remainder 1
Divisible by 11Yes
Divisible by 12No, remainder 5
Divisible by 100No, remainder 1

Collatz (3n + 1) trajectory

Steps to reach 1142the total stopping time
Highest value reached21,68821× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps1,001 → 3,004 → 1,502 → 751 → 2,254 → 1,127 → 3,382 → 1,691 → 5,074 → 2,537 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage100,100%
1,001% as a decimal10.01
1,001% of 1001,001
1,001% of 1,00010,010
As a fraction of 1001,001/100

Read another way

As seconds16 minutes and 41 seconds
As bytes1,001 B
As a year1001 AD
As a 24-bit colour#0003E9

Keep nerding

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Neighbouring numbers

Nearby primes

Also reads as

#001001 (colour)

  • #001001
  • Green
  • Dark
  • Nearest: Black

#001001 is a green with RGB values 0, 16, 1 and HSL 124°, 100%, 3%. It is a dark colour, so white text on it reaches 19.5:1 contrast (AAA for normal text). The nearest named colour is Black.

Open this reading on its own page →

Colour values

#001001#001001
HEX#001001
RGBrgb(0, 16, 1)
RGB (0–1)0, 0.0627, 0.0039
RGB percentages0%, 6.3%, 0.4%
HSLhsl(123.8, 100%, 3.1%)
HSV / HSBhsv(123.8, 100%, 6.3%)
CMYK100%, 0%, 93.8%, 93.7%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer4,097
CSS custom property--colour: #001001;

Brightness & contrast

Relative luminance0.00373WCAG 2.x, 0 is black and 1 is white
Perceived brightness12.3 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 19.54:1
Contrast with white19.54:1WCAG normal text: AAA
Contrast with black1.07:1WCAG normal text: Fail
Greyscale equivalent#0C0C0C
Inverted#FFEFFE

Colour vision & accessibility

Normal visionProtanopiaDeuteranopiaTritanopia
Protanopia#110D00no red cones; affects about 1% of men; ΔE 6.3 from the original
Deuteranopia#0E0B02no green cones; the most common form, about 1% of men; ΔE 6.4 from the original
Tritanopia#000F0Cno blue cones; rare, and affects men and women equally; ΔE 5 from the original
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text19.54:1WCAG large text: AAA
Contrast with black, large text1.07:1WCAG large text: Fail

Named colours

Black · ΔE 8.7Dark slate grey · ΔE 29.5Dim grey · ΔE 41.8Dark olivegreen · ΔE 48.4Gray · ΔE 50.9Teal · ΔE 51.7
Nearest named CSS colourBlack (#000000)ΔE 8.75, clearly different but related
Hue familygreen
CSS keyword usableNo exact keyword

Colour harmonies

base+30°+90°+120°+180°+210°+240°+270°+330°
Complementary#10000F
Analogous#071000, #001009
Triadic#010010, #100100
Split complementary#090010, #100007
Tetradic#000710, #10000F, #100900

Tints, shades & saturation

+40%+30%+20%+10%base-10%-20%-30%-40%
Lighter +40%#00DC0E
Lighter +30%#00A90B
Lighter +20%#007607
Lighter +10%#004304
Darker −10%#000000
Darker −20%#000000
Darker −30%#000000
Darker −40%#000000
More saturated +25%#001001
Less saturated −25%#020E03

Channel breakdown

R0
G16
B1
Red0 (0%)
Green16 (6.3%)
Blue1 (0.4%)
Hue123.75°
Saturation (HSL)100%
Lightness3.14%
Dominant channelGreen
Hex per channelR 00 · G 10 · B 01

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Every value on this page was computed from “001001” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.

This page is marked noindex: duplicate of /1001.