Number
4,200
- Positive
- Even
- Composite
- 4 digits
4,200 is an even 4-digit integer and a composite number. It has 48 divisors and a digital root of 6.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value4,200
Digit count4
Digit sum6
Digital root6repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum
Factors & divisors
Prime factorisation2^3 × 3 × 5^2 × 7
Distinct prime factors42, 3, 5, 7
Number of divisors48
Sum of divisors σ(n)14,880
Aliquot sum10,680sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)960integers below n that share no factor with it
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 25, 28, 30, 35, 40, 42, 50, 56, 60, 70, 75, 84, 100, 105, 120, 140, 150, 168, 175, 200, 210, 280, 300, 350, 420, 525, 600, 700, 840, 1,050, 1,400, 2,100, 4,20048 in total
Arithmetic
Previous number4,199
Next number4,201
Double8,400
Half2,100
Square17,640,000
Cube74,088,000,000
Square root64.807406984≈irrational, shown to 9 decimal places
Cube root16.13428646≈
Negation-4,200
Reciprocal0.0002380952≈
Representations
Decimal4,200
Binary100000110100013 bits
Octal10150
Hexadecimal1068
Base 3638O
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsfour thousand, two hundred
Ordinalfour thousand, two hundredth
Scientific notation4.2 × 10^3
Engineering notation4.2 × 10^3
Nearest landmarks
Powers & multiples
4,200 to the power 217,640,000
4,200 to the power 374,088,000,000
4,200 to the power 4311,169,600,000,000
4,200 to the power 51,306,912,320,000,000,000
First ten multiples4,200, 8,400, 12,600, 16,800, 21,000, 25,200, 29,400, 33,600, 37,800, 42,000
Powers of twoBetween 2^12 (4,096) and 2^13 (8,192)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4Yes
Divisible by 5Yes
Divisible by 6Yes
Divisible by 7Yes
Divisible by 8Yes
Divisible by 9No, remainder 6
Divisible by 10Yes
Divisible by 11No, remainder 9
Divisible by 12Yes
Divisible by 100Yes
Collatz (3n + 1) trajectory
Steps to reach 133the total stopping time
Highest value reached4,200
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps4,200 → 2,100 → 1,050 → 525 → 1,576 → 788 → 394 → 197 → 592 → 296 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage420,000%
4,200% as a decimal42
4,200% of 1004,200
4,200% of 1,00042,000
As a fraction of 1004,200/100
Read another way
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Derived from 4,200
Also reads as
4200 (year)
- Common year
- 365 days
- 42nd century
- Monkey
4200 will be a common year of 365 days. It begins on a Wednesday and ends on a Wednesday. Easter Sunday falls on 20 April.
Structure of the year
Months of 4200
January31 days, starts Wednesday
February28 days, starts Saturday
August31 days, starts Friday
September30 days, starts Monday
October31 days, starts Wednesday
November30 days, starts Saturday
December31 days, starts Monday
Time references
These values depend on today’s date and change daily.
Unix timestamp at the start70,372,022,400
Unix timestamp at the end70,403,558,399
Years from now2,174 years from now
Days from today793,785 days to 1 January
The number 4200
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Also reads as
#442200 (colour)
- #442200
- Orange
- Dark
- Nearest: Saddle brown
#442200 is a orange with RGB values 68, 34, 0 and HSL 30°, 100%, 13%. It is a dark colour, so white text on it reaches 14.2:1 contrast (AAA for normal text). The nearest named colour is Saddle brown.
Colour values
#442200#442200
HEX#442200
HEX (short)#420
RGBrgb(68, 34, 0)
RGB (0–1)0.2667, 0.1333, 0
RGB percentages26.7%, 13.3%, 0%
HSLhsl(30, 100%, 13.3%)
HSV / HSBhsv(30, 100%, 26.7%)
CMYK0%, 50%, 100%, 73.3%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer4,465,152
CSS custom property--colour: #442200;
Brightness & contrast
Relative luminance0.02373WCAG 2.x, 0 is black and 1 is white
Perceived brightness45.4 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 14.24:1
Contrast with white14.24:1WCAG normal text: AAA
Contrast with black1.47:1WCAG normal text: Fail
Greyscale equivalent#272727
Inverted#BBDDFF
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text14.24:1WCAG large text: AAA
Contrast with black, large text1.47:1WCAG large text: Fail
Named colours
Hue familyorange
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#002244
Analogous#440000, #444400
Triadic#004422, #220044
Split complementary#004444, #000044
Tetradic#004400, #002244, #440044
Tints, shades & saturation
Channel breakdown
R68
G34
B0
Red68 (26.7%)
Green34 (13.3%)
Blue0 (0%)
Hue30°
Saturation (HSL)100%
Lightness13.33%
Dominant channelRed
Hex per channelR 44 · G 22 · B 00
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