Recognised as Number
1,377
- Positive
- Odd
- Composite
- 4 digits
1,377 is an odd 4-digit integer and a composite number. It has 10 divisors and a digital root of 9.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value1,377
Digit count4
Digit sum18
Digit product147
Multiplicative persistence4times the digit product can be taken before one digit is left
Digital root9repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation3^4 × 17
Distinct prime factors23, 17
Number of divisors10
Sum of divisors σ(n)2,178
Aliquot sum801sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)864integers below n that share no factor with it
Carmichael function λ(n)432the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 864
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 3, 9, 17, 27, 51, 81, 153, 459, 1,37710 in total
Arithmetic
Representations
Decimal1,377
Binary1010110000111 bits
Octal2541
Hexadecimal561
Base 36129
Roman numeralMCCCLXXVII
In wordsone thousand, three hundred and seventy-seven
Ordinalone thousand, three hundred and seventy-seventh
Scientific notation1.377 × 10^3
Engineering notation1.377 × 10^3
In other bases
Ternary1220000base 3; the most digit-efficient integer base after e: 7 digits
Quinary21002base 5; one hand: 5 digits
Septenary4005base 7: 4 digits
Nonary1800base 9; each digit is two ternary digits: 4 digits
Duodecimal969base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal38hbase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal22:57base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary1T0T0000digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1101010100001base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000010101100001
Bit length11 bitsto write the magnitude
Set bits5the population count, or Hamming weight
Zero bits6within that length
Bit parityodd5 set bits, so odd; not the same as the number itself being odd
Highest set bitbit 10worth 1,024
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes205 61
Gray code11111010001n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0000010101100001
32-bit00000000000000000000010101100001
64-bit0000000000000000000000000000000000000000000000000000010101100001
One's complement1111101010011110at 16 bits, every bit flipped
Bits reversed1000011010100000at 16 bits
Rotated left by 10000101011000010at 16 bits, wrapping
Shifted left by 1101011000010= 2,754, no wrap
Shifted right by 11010110000= 688, discarding the low bit
These bits as a double6.80328394 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
1,377 to the power 21,896,129
1,377 to the power 32,610,969,633
1,377 to the power 43,595,305,184,641
1,377 to the power 54,950,735,239,250,657
First ten multiples1,377, 2,754, 4,131, 5,508, 6,885, 8,262, 9,639, 11,016, 12,393, 13,770
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 5
Divisible by 8No, remainder 1
Divisible by 9Yes
Divisible by 10No, remainder 7
Divisible by 11No, remainder 2
Divisible by 12No, remainder 9
Divisible by 100No, remainder 77
Collatz (3n + 1) trajectory
Steps to reach 1158the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps1,377 → 4,132 → 2,066 → 1,033 → 3,100 → 1,550 → 775 → 2,326 → 1,163 → 3,490 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage137,700%
1,377% as a decimal13.77
1,377% of 1001,377
1,377% of 1,00013,770
As a fraction of 1001,377/100
Read another way
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Derived from 1,377
Also reads as
1377 (year)
- Common year
- 365 days
- 14th century
- Snake
1377 was a common year of 365 days. It began on a Wednesday and ended on a Wednesday. Easter Sunday fell on 6 April.
Structure of the year
Patterns forced by the calendar
Weekday counts52 of each, plus an extra Wednesday365 days is 52 weeks and 1 day, and the remainder starts on the weekday 1 January falls on
Sundays52
Mondays52
Tuesdays52
Wednesdays53one of the extras
Thursdays52
Fridays52
Saturdays52
Friday the 13th1 of them13 June
ISO weeks52an ordinary 52-week year
Same calendar as1366the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in1383, 1394, 14006 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 1377
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 start-18,713,203,200
Unix timestamp at the end-18,681,667,201
Years from now649 years ago
Days from today237,305 days since 1 January
The number 1377
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Also reads as
#113377 (colour)
- #113377
- Blue
- Dark
- Nearest: Dark slateblue
#113377 is a blue with RGB values 17, 51, 119 and HSL 220°, 75%, 27%. It is a dark colour, so white text on it reaches 11.9:1 contrast (AAA for normal text). The nearest named colour is Dark slateblue.
Colour values
#113377#113377
HEX#113377
HEX (short)#137
RGBrgb(17, 51, 119)
RGB (0–1)0.0667, 0.2, 0.4667
RGB percentages6.7%, 20%, 46.7%
HSLhsl(220, 75%, 26.7%)
HSV / HSBhsv(220, 85.7%, 46.7%)
CMYK85.7%, 57.1%, 0%, 53.3%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer1,127,287
CSS custom property--colour: #113377;
Brightness & contrast
Relative luminance0.03819WCAG 2.x, 0 is black and 1 is white
Perceived brightness56.8 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 11.91:1
Contrast with white11.91:1WCAG normal text: AAA
Contrast with black1.76:1WCAG normal text: Fail
Greyscale equivalent#313131
Inverted#EECC88
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text11.91:1WCAG large text: AAA
Contrast with black, large text1.76:1WCAG large text: Fail
Named colours
Hue familyblue
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#775511
Analogous#116677, #221177
Triadic#771133, #337711
Split complementary#772211, #667711
Tetradic#771166, #775511, #117722
Tints, shades & saturation
Channel breakdown
R17
G51
B119
Red17 (6.7%)
Green51 (20%)
Blue119 (46.7%)
Hue220°
Saturation (HSL)75%
Lightness26.67%
Dominant channelBlue
Hex per channelR 11 · G 33 · B 77
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Harmonies
Similar named colours
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