Number
1,077
- Positive
- Odd
- Composite
- 4 digits
1,077 is an odd 4-digit integer and a composite number. It has 4 divisors and a digital root of 6.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value1,077
Digit count4
Digit sum15
Digital root6repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation3 × 359
Distinct prime factors23, 359
Number of divisors4
Sum of divisors σ(n)1,440
Aliquot sum363sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)716integers below n that share no factor with it
SquarefreeYesno repeated prime factor
All divisors1, 3, 359, 1,0774 in total
Arithmetic
Representations
Decimal1,077
Binary1000011010111 bits
Octal2065
Hexadecimal435
Base 36TX
Roman numeralMLXXVII
In wordsone thousand and seventy-seven
Ordinalone thousand and seventy-seventh
Scientific notation1.077 × 10^3
Engineering notation1.077 × 10^3
Nearest landmarks
Powers & multiples
1,077 to the power 21,159,929
1,077 to the power 31,249,243,533
1,077 to the power 41,345,435,285,041
1,077 to the power 51,449,033,801,989,157
First ten multiples1,077, 2,154, 3,231, 4,308, 5,385, 6,462, 7,539, 8,616, 9,693, 10,770
Powers of twoBetween 2^10 (1,024) and 2^11 (2,048)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3Yes
Divisible by 4No, remainder 1
Divisible by 5No, remainder 2
Divisible by 6No, remainder 3
Divisible by 7No, remainder 6
Divisible by 8No, remainder 5
Divisible by 9No, remainder 6
Divisible by 10No, remainder 7
Divisible by 11No, remainder 10
Divisible by 12No, remainder 9
Divisible by 100No, remainder 77
Collatz (3n + 1) trajectory
Steps to reach 131the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps1,077 → 3,232 → 1,616 → 808 → 404 → 202 → 101 → 304 → 152 → 76 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage107,700%
1,077% as a decimal10.77
1,077% of 1001,077
1,077% of 1,00010,770
As a fraction of 1001,077/100
Read another way
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Derived from 1,077
Also reads as
1077 (year)
- Common year
- 365 days
- 11th century
- Snake
1077 was a common year of 365 days. It began on a Monday and ended on a Monday. Easter Sunday fell on 22 April.
Structure of the year
Months of 1077
January31 days, starts Monday
February28 days, starts Thursday
September30 days, starts Saturday
October31 days, starts Monday
November30 days, starts Thursday
December31 days, starts Saturday
Time references
These values depend on today’s date and change daily.
Unix timestamp at the start-28,180,310,400
Unix timestamp at the end-28,148,774,401
Years from now949 years ago
Days from today346,867 days since 1 January
The number 1077
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Also reads as
#110077 (colour)
- #110077
- Blue
- Dark
- Nearest: Navy
#110077 is a blue with RGB values 17, 0, 119 and HSL 249°, 100%, 23%. It is a dark colour, so white text on it reaches 16.3:1 contrast (AAA for normal text). The nearest named colour is Navy.
Colour values
#110077#110077
HEX#110077
HEX (short)#107
RGBrgb(17, 0, 119)
RGB (0–1)0.0667, 0, 0.4667
RGB percentages6.7%, 0%, 46.7%
HSLhsl(248.6, 100%, 23.3%)
HSV / HSBhsv(248.6, 100%, 46.7%)
CMYK85.7%, 100%, 0%, 53.3%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer1,114,231
CSS custom property--colour: #110077;
Brightness & contrast
Relative luminance0.01451WCAG 2.x, 0 is black and 1 is white
Perceived brightness41.2 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 16.28:1
Contrast with white16.28:1WCAG normal text: AAA
Contrast with black1.29:1WCAG normal text: Fail
Greyscale equivalent#0C0C0C
Inverted#EEFF88
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text16.28:1WCAG large text: AAA
Contrast with black, large text1.29:1WCAG large text: Fail
Named colours
Hue familyblue
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#667700
Analogous#002B77, #4C0077
Triadic#771100, #007711
Split complementary#774C00, #2B7700
Tetradic#77002B, #667700, #00774C
Tints, shades & saturation
Channel breakdown
R17
G0
B119
Red17 (6.7%)
Green0 (0%)
Blue119 (46.7%)
Hue248.57°
Saturation (HSL)100%
Lightness23.33%
Dominant channelBlue
Hex per channelR 11 · G 00 · B 77
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