Number
1,072
- Positive
- Even
- Composite
- 4 digits
1,072 is an even 4-digit integer and a composite number. It has 10 divisors and a digital root of 1.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value1,072
Digit count4
Digit sum10
Digital root1repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation2^4 × 67
Distinct prime factors22, 67
Number of divisors10
Sum of divisors σ(n)2,108
Aliquot sum1,036sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)528integers below n that share no factor with it
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 8, 16, 67, 134, 268, 536, 1,07210 in total
Arithmetic
Representations
Decimal1,072
Binary1000011000011 bits
Octal2060
Hexadecimal430
Base 36TS
Roman numeralMLXXII
In wordsone thousand and seventy-two
Ordinalone thousand and seventy-second
Scientific notation1.072 × 10^3
Engineering notation1.072 × 10^3
Nearest landmarks
Powers & multiples
1,072 to the power 21,149,184
1,072 to the power 31,231,925,248
1,072 to the power 41,320,623,865,856
1,072 to the power 51,415,708,784,197,632
First ten multiples1,072, 2,144, 3,216, 4,288, 5,360, 6,432, 7,504, 8,576, 9,648, 10,720
Powers of twoBetween 2^10 (1,024) and 2^11 (2,048)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4Yes
Divisible by 5No, remainder 2
Divisible by 6No, remainder 4
Divisible by 7No, remainder 1
Divisible by 8Yes
Divisible by 9No, remainder 1
Divisible by 10No, remainder 2
Divisible by 11No, remainder 5
Divisible by 12No, remainder 4
Divisible by 100No, remainder 72
Collatz (3n + 1) trajectory
Steps to reach 131the total stopping time
Highest value reached1,072
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps1,072 → 536 → 268 → 134 → 67 → 202 → 101 → 304 → 152 → 76 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage107,200%
1,072% as a decimal10.72
1,072% of 1001,072
1,072% of 1,00010,720
As a fraction of 1001,072/100
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Derived from 1,072
Also reads as
1072 (year)
- Leap year
- 366 days
- 11th century
- Rat
1072 was a leap year of 366 days. It began on a Monday and ended on a Tuesday. Easter Sunday fell on 14 April.
Structure of the year
Months of 1072
January31 days, starts Monday
February29 days, starts Thursday
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-28,338,163,200
Unix timestamp at the end-28,306,540,801
Years from now954 years ago
Days from today348,694 days since 1 January
The number 1072
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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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