Recognised as Number
4,988
- Positive
- Even
- Composite
- 4 digits
4,988 is an even 4-digit integer and a composite number. It has 12 divisors and a digital root of 2.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value4,988
Digit count4
Digit sum29
Digit product2,304
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root2repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum
Factors & divisors
Prime factorisation2^2 × 29 × 43
Distinct prime factors32, 29, 43
Number of divisors12
Sum of divisors σ(n)9,240
Aliquot sum4,252sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)2,352integers below n that share no factor with it
Carmichael function λ(n)84the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 2,352
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 29, 43, 58, 86, 116, 172, 1,247, 2,494, 4,98812 in total
Arithmetic
Previous number4,987
Next number4,989
Double9,976
Half2,494
Square24,880,144
Cube124,102,158,272
Square root70.625774332≈irrational, shown to 9 decimal places
Cube root17.086068701≈
Negation-4,988
Reciprocal0.0002004812≈
Representations
Decimal4,988
Binary100110111110013 bits
Octal11574
Hexadecimal137C
Base 363UK
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsfour thousand, nine hundred and eighty-eight
Ordinalfour thousand, nine hundred and eighty-eighth
Scientific notation4.988 × 10^3
Engineering notation4.988 × 10^3
In other bases
Ternary20211202base 3; the most digit-efficient integer base after e: 8 digits
Quinary124423base 5; one hand: 6 digits
Septenary20354base 7: 5 digits
Nonary6752base 9; each digit is two ternary digits: 4 digits
Duodecimal2a78base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimalc98base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal1:23:8base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternary1T10TTT1Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1010010001100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0001001101111100
Bit length13 bitsto write the magnitude
Set bits8the population count, or Hamming weight
Zero bits5within that length
Bit parityeven8 set bits, so even; not the same as the number itself being even
Highest set bitbit 12worth 4,096
Lowest set bitbit 22 trailing zeros
Power of twoNo
Bytes213 7c
Gray code1101011000010n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0001001101111100
32-bit00000000000000000001001101111100
64-bit0000000000000000000000000000000000000000000000000001001101111100
One's complement1110110010000011at 16 bits, every bit flipped
Bits reversed0011111011001000at 16 bits
Rotated left by 10010011011111000at 16 bits, wrapping
Shifted left by 110011011111000= 9,976, no wrap
Shifted right by 1100110111110= 2,494, discarding the low bit
These bits as a double2.46439944 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
4,988 to the power 224,880,144
4,988 to the power 3124,102,158,272
4,988 to the power 4619,021,565,460,736
4,988 to the power 53,087,679,568,518,151,168
First ten multiples4,988, 9,976, 14,964, 19,952, 24,940, 29,928, 34,916, 39,904, 44,892, 49,880
Powers of twoBetween 2^12 (4,096) and 2^13 (8,192)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 2
Divisible by 4Yes
Divisible by 5No, remainder 3
Divisible by 6No, remainder 2
Divisible by 7No, remainder 4
Divisible by 8No, remainder 4
Divisible by 9No, remainder 2
Divisible by 10No, remainder 8
Divisible by 11No, remainder 5
Divisible by 12No, remainder 8
Divisible by 100No, remainder 88
Collatz (3n + 1) trajectory
Steps to reach 1134the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps4,988 → 2,494 → 1,247 → 3,742 → 1,871 → 5,614 → 2,807 → 8,422 → 4,211 → 12,634 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage498,800%
4,988% as a decimal49.88
4,988% of 1004,988
4,988% of 1,00049,880
As a fraction of 1004,988/100
Read another way
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Derived from 4,988
Also reads as
4988 (year)
- Leap year
- 366 days
- 50th century
- Dragon
4988 will be a leap year of 366 days. It begins on a Tuesday and ends on a Wednesday. Easter Sunday falls on 13 April.
Structure of the year
Patterns forced by the calendar
Weekday counts52 of each, plus an extra Tuesday and Wednesday366 days is 52 weeks and 2 days, and the remainder starts on the weekday 1 January falls on
Sundays52
Mondays52
Tuesdays53one of the extras
Wednesdays53one of the extras
Thursdays52
Fridays52
Saturdays52
Friday the 13th1 of them13 June
ISO weeks52an ordinary 52-week year
Same calendar as4960the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in5028, 5056, 508440 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 4988
January31 days, starts Tuesday
February29 days, starts Friday
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 start95,238,892,800
Unix timestamp at the end95,270,515,199
Years from now2,962 years from now
Days from today1,081,586 days to 1 January
The number 4988
As a number4,988
In wordsfour thousand, nine hundred and eighty-eight
Roman numeralsNot defined above 3,999
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Also reads as
#449988 (colour)
- #449988
- Cyan
- Dark
- Nearest: Dark cyan
#449988 is a cyan with RGB values 68, 153, 136 and HSL 168°, 38%, 43%. It is a dark colour, so black text on it reaches 6.2:1 contrast (AA for normal text). The nearest named colour is Dark cyan.
Colour values
#449988#449988
HEX#449988
HEX (short)#498
RGBrgb(68, 153, 136)
RGB (0–1)0.2667, 0.6, 0.5333
RGB percentages26.7%, 60%, 53.3%
HSLhsl(168, 38.5%, 43.3%)
HSV / HSBhsv(168, 55.6%, 60%)
CMYK55.6%, 0%, 11.1%, 40%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer4,495,752
CSS custom property--colour: #449988;
Brightness & contrast
Relative luminance0.25789WCAG 2.x, 0 is black and 1 is white
Perceived brightness131.3 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundBlackcontrast 6.16:1
Contrast with white3.41:1WCAG normal text: Fail
Contrast with black6.16:1WCAG normal text: AA
Greyscale equivalent#868686
Inverted#BB6677
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text3.41:1WCAG large text: AA
Contrast with black, large text6.16:1WCAG large text: AAA
Named colours
Hue familycyan
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#994455
Analogous#44995E, #448099
Triadic#884499, #998844
Split complementary#994480, #995E44
Tetradic#5E4499, #994455, #809944
Tints, shades & saturation
Channel breakdown
R68
G153
B136
Red68 (26.7%)
Green153 (60%)
Blue136 (53.3%)
Hue168°
Saturation (HSL)38.46%
Lightness43.33%
Dominant channelGreen
Hex per channelR 44 · G 99 · B 88
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