Recognised as Number
3,977
- Positive
- Odd
- Composite
- 4 digits
3,977 is an odd 4-digit integer and a composite number. It has 4 divisors and a digital root of 8.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value3,977
Digit count4
Digit sum26
Digit product1,323
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root8repeated digit sum
PalindromicNoreads differently backwards
Happy numberYessquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation41 × 97
Distinct prime factors241, 97
Number of divisors4
Sum of divisors σ(n)4,116
Aliquot sum139sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)3,840integers below n that share no factor with it
Carmichael function λ(n)480the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 3,840
Möbius function μ(n)+12 distinct prime factors, an even number of them
SquarefreeYesno repeated prime factor
All divisors1, 41, 97, 3,9774 in total
Arithmetic
Previous number3,976
Next number3,978
Double7,954
Half1,988.5
Square15,816,529
Cube62,902,335,833
Square root63.063460102≈irrational, shown to 9 decimal places
Cube root15.843526831≈
Negation-3,977
Reciprocal0.0002514458≈
Representations
Decimal3,977
Binary11111000100112 bits
Octal7611
HexadecimalF89
Base 3632H
Roman numeralMMMCMLXXVII
In wordsthree thousand, nine hundred and seventy-seven
Ordinalthree thousand, nine hundred and seventy-seventh
Scientific notation3.977 × 10^3
Engineering notation3.977 × 10^3
In other bases
Ternary12110022base 3; the most digit-efficient integer base after e: 8 digits
Quinary111402base 5; one hand: 6 digits
Septenary14411base 7: 5 digits
Nonary5408base 9; each digit is two ternary digits: 4 digits
Duodecimal2375base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimal9ihbase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal1:6:17base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternary1TT11010Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1000010011001base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000111110001001
Bit length12 bitsto write the magnitude
Set bits7the population count, or Hamming weight
Zero bits5within that length
Bit parityodd7 set bits, so odd; not the same as the number itself being odd
Highest set bitbit 11worth 2,048
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes20f 89
Gray code100001001101n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0000111110001001
32-bit00000000000000000000111110001001
64-bit0000000000000000000000000000000000000000000000000000111110001001
One's complement1111000001110110at 16 bits, every bit flipped
Bits reversed1001000111110000at 16 bits
Rotated left by 10001111100010010at 16 bits, wrapping
Shifted left by 11111100010010= 7,954, no wrap
Shifted right by 111111000100= 1,988, discarding the low bit
These bits as a double1.96489907 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
3,977 to the power 215,816,529
3,977 to the power 362,902,335,833
3,977 to the power 4250,162,589,607,841
3,977 to the power 5994,896,618,870,383,657
First ten multiples3,977, 7,954, 11,931, 15,908, 19,885, 23,862, 27,839, 31,816, 35,793, 39,770
Powers of twoBetween 2^11 (2,048) and 2^12 (4,096)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 2
Divisible by 4No, remainder 1
Divisible by 5No, remainder 2
Divisible by 6No, remainder 5
Divisible by 7No, remainder 1
Divisible by 8No, remainder 1
Divisible by 9No, remainder 8
Divisible by 10No, remainder 7
Divisible by 11No, remainder 6
Divisible by 12No, remainder 5
Divisible by 100No, remainder 77
Collatz (3n + 1) trajectory
Steps to reach 1144the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps3,977 → 11,932 → 5,966 → 2,983 → 8,950 → 4,475 → 13,426 → 6,713 → 20,140 → 10,070 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage397,700%
3,977% as a decimal39.77
3,977% of 1003,977
3,977% of 1,00039,770
As a fraction of 1003,977/100
Read another way
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Derived from 3,977
Also reads as
3977 (year)
- Common year
- 365 days
- 40th century
- Ox
3977 will be a common year of 365 days. It begins on a Saturday and ends on a Saturday. Easter Sunday falls on 17 April.
Structure of the year
Patterns forced by the calendar
Weekday counts52 of each, plus an extra Saturday365 days is 52 weeks and 1 day, and the remainder starts on the weekday 1 January falls on
Sundays52
Mondays52
Tuesdays52
Wednesdays52
Thursdays52
Fridays52
Saturdays53one of the extras
Friday the 13th1 of them13 May
ISO weeks52an ordinary 52-week year
Same calendar as3966the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in3983, 3994, 40056 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 3977
January31 days, starts Saturday
February28 days, starts Tuesday
August31 days, starts Monday
September30 days, starts Thursday
October31 days, starts Saturday
November30 days, starts Tuesday
December31 days, starts Thursday
Time references
These values depend on today’s date and change daily.
Unix timestamp at the start63,334,828,800
Unix timestamp at the end63,366,364,799
Years from now1,951 years from now
Days from today712,326 days to 1 January
The number 3977
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Also reads as
#339977 (colour)
- #339977
- Cyan
- Dark
- Nearest: Sea green
#339977 is a cyan with RGB values 51, 153, 119 and HSL 160°, 50%, 40%. It is a dark colour, so black text on it reaches 6:1 contrast (AA for normal text). The nearest named colour is Sea green.
Colour values
#339977#339977
HEX#339977
HEX (short)#397
RGBrgb(51, 153, 119)
RGB (0–1)0.2, 0.6, 0.4667
RGB percentages20%, 60%, 46.7%
HSLhsl(160, 50%, 40%)
HSV / HSBhsv(160, 66.7%, 60%)
CMYK66.7%, 0%, 22.2%, 40%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer3,381,623
CSS custom property--colour: #339977;
Brightness & contrast
Relative luminance0.24818WCAG 2.x, 0 is black and 1 is white
Perceived brightness127 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundBlackcontrast 5.96:1
Contrast with white3.52:1WCAG normal text: Fail
Contrast with black5.96:1WCAG normal text: AA
Greyscale equivalent#818181
Inverted#CC6688
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text3.52:1WCAG large text: AA
Contrast with black, large text5.96:1WCAG large text: AAA
Named colours
Hue familycyan
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#993355
Analogous#339944, #338899
Triadic#773399, #997733
Split complementary#993388, #994433
Tetradic#443399, #993355, #889933
Tints, shades & saturation
Channel breakdown
R51
G153
B119
Red51 (20%)
Green153 (60%)
Blue119 (46.7%)
Hue160°
Saturation (HSL)50%
Lightness40%
Dominant channelGreen
Hex per channelR 33 · G 99 · B 77
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Harmonies
Similar named colours
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