Recognised as Number
1,378
- Positive
- Even
- Composite
- 4 digits
1,378 is an even 4-digit integer and a composite number. It has 8 divisors and a digital root of 1.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value1,378
Digit count4
Digit sum19
Digit product168
Multiplicative persistence4times the digit product can be taken before one digit is left
Digital root1repeated digit sum
PalindromicNoreads differently backwards
Triangular numberYes, the 52nd triangular number
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation2 × 13 × 53
Distinct prime factors32, 13, 53
Number of divisors8
Sum of divisors σ(n)2,268
Aliquot sum890sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)624integers below n that share no factor with it
Carmichael function λ(n)156the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 624
Möbius function μ(n)−13 distinct prime factors, an odd number of them
SquarefreeYesno repeated prime factor
All divisors1, 2, 13, 26, 53, 106, 689, 1,3788 in total
Arithmetic
Representations
Decimal1,378
Binary1010110001011 bits
Octal2542
Hexadecimal562
Base 3612A
Roman numeralMCCCLXXVIII
In wordsone thousand, three hundred and seventy-eight
Ordinalone thousand, three hundred and seventy-eighth
Scientific notation1.378 × 10^3
Engineering notation1.378 × 10^3
In other bases
Ternary1220001base 3; the most digit-efficient integer base after e: 7 digits
Quinary21003base 5; one hand: 5 digits
Septenary4006base 7: 4 digits
Nonary1801base 9; each digit is two ternary digits: 4 digits
Duodecimal96abase 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal38ibase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal22:58base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary1T0T0001digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1101010100110base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000010101100010
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 even
Highest set bitbit 10worth 1,024
Lowest set bitbit 11 trailing zero
Power of twoNo
Bytes205 62
Gray code11111010011n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0000010101100010
32-bit00000000000000000000010101100010
64-bit0000000000000000000000000000000000000000000000000000010101100010
One's complement1111101010011101at 16 bits, every bit flipped
Bits reversed0100011010100000at 16 bits
Rotated left by 10000101011000100at 16 bits, wrapping
Shifted left by 1101011000100= 2,756, no wrap
Shifted right by 11010110001= 689, discarding the low bit
These bits as a double6.8082246 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
1,378 to the power 21,898,884
1,378 to the power 32,616,662,152
1,378 to the power 43,605,760,445,456
1,378 to the power 54,968,737,893,838,368
First ten multiples1,378, 2,756, 4,134, 5,512, 6,890, 8,268, 9,646, 11,024, 12,402, 13,780
Powers of twoBetween 2^10 (1,024) and 2^11 (2,048)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4No, remainder 2
Divisible by 5No, remainder 3
Divisible by 6No, remainder 4
Divisible by 7No, remainder 6
Divisible by 8No, remainder 2
Divisible by 9No, remainder 1
Divisible by 10No, remainder 8
Divisible by 11No, remainder 3
Divisible by 12No, remainder 10
Divisible by 100No, remainder 78
Collatz (3n + 1) trajectory
Steps to reach 1127the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps1,378 → 689 → 2,068 → 1,034 → 517 → 1,552 → 776 → 388 → 194 → 97 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage137,800%
1,378% as a decimal13.78
1,378% of 1001,378
1,378% of 1,00013,780
As a fraction of 1001,378/100
Read another way
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Derived from 1,378
Also reads as
1378 (year)
- Common year
- 365 days
- 14th century
- Horse
- 53 ISO weeks
1378 was a common year of 365 days. It began on a Thursday and ended on a Thursday. Easter Sunday fell on 29 March.
Structure of the year
Patterns forced by the calendar
Weekday counts52 of each, plus an extra Thursday365 days is 52 weeks and 1 day, and the remainder starts on the weekday 1 January falls on
Sundays52
Mondays52
Tuesdays52
Wednesdays52
Thursdays53one of the extras
Fridays52
Saturdays52
Friday the 13th3 of them13 February, 13 March, 13 November
ISO weeks53a long year: 1 January is a Thursday, or a Wednesday in a leap year, so a week 53 exists
Same calendar as1367the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in1389, 1395, 140111 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 1378
January31 days, starts Thursday
February28 days, starts Sunday
August31 days, starts Saturday
September30 days, starts Tuesday
October31 days, starts Thursday
November30 days, starts Sunday
December31 days, starts Tuesday
Time references
These values depend on today’s date and change daily.
Unix timestamp at the start-18,681,667,200
Unix timestamp at the end-18,650,131,201
Years from now648 years ago
Days from today236,940 days since 1 January
The number 1378
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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
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