Recognised as Number
1,067
- Positive
- Odd
- Composite
- 4 digits
1,067 is an odd 4-digit integer and a composite number. It has 4 divisors and a digital root of 5.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value1,067
Digit count4
Digit sum14
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root5repeated digit sum
PalindromicNoreads differently backwards
Happy numberYessquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation11 × 97
Distinct prime factors211, 97
Number of divisors4
Sum of divisors σ(n)1,176
Aliquot sum109sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)960integers 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) = 960
Möbius function μ(n)+12 distinct prime factors, an even number of them
SquarefreeYesno repeated prime factor
All divisors1, 11, 97, 1,0674 in total
Arithmetic
Representations
Decimal1,067
Binary1000010101111 bits
Octal2053
Hexadecimal42B
Base 36TN
Roman numeralMLXVII
In wordsone thousand and sixty-seven
Ordinalone thousand and sixty-seventh
Scientific notation1.067 × 10^3
Engineering notation1.067 × 10^3
In other bases
Ternary1110112base 3; the most digit-efficient integer base after e: 7 digits
Quinary13232base 5; one hand: 5 digits
Septenary3053base 7: 4 digits
Nonary1415base 9; each digit is two ternary digits: 4 digits
Duodecimal74bbase 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal2d7base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal17:47base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary1111TTTdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary10001111111base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000010000101011
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
Bytes204 2b
Gray code11000111110n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0000010000101011
32-bit00000000000000000000010000101011
64-bit0000000000000000000000000000000000000000000000000000010000101011
One's complement1111101111010100at 16 bits, every bit flipped
Bits reversed1101010000100000at 16 bits
Rotated left by 10000100001010110at 16 bits, wrapping
Shifted left by 1100001010110= 2,134, no wrap
Shifted right by 11000010101= 533, discarding the low bit
These bits as a double5.27168044 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
1,067 to the power 21,138,489
1,067 to the power 31,214,767,763
1,067 to the power 41,296,157,203,121
1,067 to the power 51,382,999,735,730,107
First ten multiples1,067, 2,134, 3,201, 4,268, 5,335, 6,402, 7,469, 8,536, 9,603, 10,670
Powers of twoBetween 2^10 (1,024) and 2^11 (2,048)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 2
Divisible by 4No, remainder 3
Divisible by 5No, remainder 2
Divisible by 6No, remainder 5
Divisible by 7No, remainder 3
Divisible by 8No, remainder 3
Divisible by 9No, remainder 5
Divisible by 10No, remainder 7
Divisible by 11Yes
Divisible by 12No, remainder 11
Divisible by 100No, remainder 67
Collatz (3n + 1) trajectory
Steps to reach 162the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps1,067 → 3,202 → 1,601 → 4,804 → 2,402 → 1,201 → 3,604 → 1,802 → 901 → 2,704 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage106,700%
1,067% as a decimal10.67
1,067% of 1001,067
1,067% of 1,00010,670
As a fraction of 1001,067/100
Read another way
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Derived from 1,067
Also reads as
1067 (year)
- Common year
- 365 days
- 11th century
- Goat
1067 was a common year of 365 days. It began on a Tuesday and ended on a Tuesday. Easter Sunday fell on 14 April.
Structure of the year
Patterns forced by the calendar
Weekday counts52 of each, plus an extra Tuesday365 days is 52 weeks and 1 day, and the remainder starts on the weekday 1 January falls on
Sundays52
Mondays52
Tuesdays53one of the extras
Wednesdays52
Thursdays52
Fridays52
Saturdays52
Friday the 13th2 of them13 September, 13 December
ISO weeks52an ordinary 52-week year
Same calendar as1061the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in1078, 1089, 109511 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 1067
January31 days, starts Tuesday
February28 days, starts Friday
August31 days, starts Thursday
September30 days, starts Sunday
October31 days, starts Tuesday
November30 days, starts Friday
December31 days, starts Sunday
Time references
These values depend on today’s date and change daily.
Unix timestamp at the start-28,495,929,600
Unix timestamp at the end-28,464,393,601
Years from now959 years ago
Days from today350,565 days since 1 January
The number 1067
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Also reads as
#110066 (colour)
- #110066
- Blue
- Dark
- Nearest: Midnight blue
#110066 is a blue with RGB values 17, 0, 102 and HSL 250°, 100%, 20%. It is a dark colour, so white text on it reaches 17.3:1 contrast (AAA for normal text). The nearest named colour is Midnight blue.
Colour values
#110066#110066
HEX#110066
HEX (short)#106
RGBrgb(17, 0, 102)
RGB (0–1)0.0667, 0, 0.4
RGB percentages6.7%, 0%, 40%
HSLhsl(250, 100%, 20%)
HSV / HSBhsv(250, 100%, 40%)
CMYK83.3%, 100%, 0%, 60%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer1,114,214
CSS custom property--colour: #110066;
Brightness & contrast
Relative luminance0.01078WCAG 2.x, 0 is black and 1 is white
Perceived brightness35.7 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 17.27:1
Contrast with white17.27:1WCAG normal text: AAA
Contrast with black1.22:1WCAG normal text: Fail
Greyscale equivalent#0B0B0B
Inverted#EEFF99
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text17.27:1WCAG large text: AAA
Contrast with black, large text1.22:1WCAG large text: Fail
Named colours
Hue familyblue
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#556600
Analogous#002266, #440066
Triadic#661100, #006611
Split complementary#664400, #226600
Tetradic#660022, #556600, #006644
Tints, shades & saturation
Channel breakdown
R17
G0
B102
Red17 (6.7%)
Green0 (0%)
Blue102 (40%)
Hue250°
Saturation (HSL)100%
Lightness20%
Dominant channelBlue
Hex per channelR 11 · G 00 · B 66
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