Recognised as Number
1,673
- Positive
- Odd
- Composite
- 4 digits
1,673 is an odd 4-digit integer and a composite number. It has 4 divisors and a digital root of 8.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value1,673
Digit count4
Digit sum17
Digit product126
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root8repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation7 × 239
Distinct prime factors27, 239
Number of divisors4
Sum of divisors σ(n)1,920
Aliquot sum247sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)1,428integers below n that share no factor with it
Carmichael function λ(n)714the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 1,428
Möbius function μ(n)+12 distinct prime factors, an even number of them
SquarefreeYesno repeated prime factor
All divisors1, 7, 239, 1,6734 in total
Arithmetic
Representations
Decimal1,673
Binary1101000100111 bits
Octal3211
Hexadecimal689
Base 361AH
Roman numeralMDCLXXIII
In wordsone thousand, six hundred and seventy-three
Ordinalone thousand, six hundred and seventy-third
Scientific notation1.673 × 10^3
Engineering notation1.673 × 10^3
In other bases
Ternary2021222base 3; the most digit-efficient integer base after e: 7 digits
Quinary23143base 5; one hand: 5 digits
Septenary4610base 7: 4 digits
Nonary2258base 9; each digit is two ternary digits: 4 digits
Duodecimalb75base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal43dbase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal27:53base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary1T10T00Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1101110011001base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000011010001001
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
Bytes206 89
Gray code10111001101n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0000011010001001
32-bit00000000000000000000011010001001
64-bit0000000000000000000000000000000000000000000000000000011010001001
One's complement1111100101110110at 16 bits, every bit flipped
Bits reversed1001000101100000at 16 bits
Rotated left by 10000110100010010at 16 bits, wrapping
Shifted left by 1110100010010= 3,346, no wrap
Shifted right by 11101000100= 836, discarding the low bit
These bits as a double8.26571825 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
1,673 to the power 22,798,929
1,673 to the power 34,682,608,217
1,673 to the power 47,834,003,547,041
1,673 to the power 513,106,287,934,199,593
First ten multiples1,673, 3,346, 5,019, 6,692, 8,365, 10,038, 11,711, 13,384, 15,057, 16,730
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 1
Divisible by 5No, remainder 3
Divisible by 6No, remainder 5
Divisible by 7Yes
Divisible by 8No, remainder 1
Divisible by 9No, remainder 8
Divisible by 10No, remainder 3
Divisible by 11No, remainder 1
Divisible by 12No, remainder 5
Divisible by 100No, remainder 73
Collatz (3n + 1) trajectory
Steps to reach 191the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps1,673 → 5,020 → 2,510 → 1,255 → 3,766 → 1,883 → 5,650 → 2,825 → 8,476 → 4,238 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage167,300%
1,673% as a decimal16.73
1,673% of 1001,673
1,673% of 1,00016,730
As a fraction of 1001,673/100
Read another way
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Derived from 1,673
Also reads as
1673 (year)
- Common year
- 365 days
- 17th century
- Ox
1673 was a common year of 365 days. It began on a Sunday and ended on a Sunday. Easter Sunday fell on 2 April.
Structure of the year
Patterns forced by the calendar
Weekday counts52 of each, plus an extra Sunday365 days is 52 weeks and 1 day, and the remainder starts on the weekday 1 January falls on
Sundays53one of the extras
Mondays52
Tuesdays52
Wednesdays52
Thursdays52
Fridays52
Saturdays52
Friday the 13th2 of them13 January, 13 October
ISO weeks52an ordinary 52-week year
Same calendar as1662the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in1679, 1690, 17026 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 1673
January31 days, starts Sunday
February28 days, starts Wednesday
August31 days, starts Tuesday
September30 days, starts Friday
October31 days, starts Sunday
November30 days, starts Wednesday
December31 days, starts Friday
Time references
These values depend on today’s date and change daily.
Unix timestamp at the start-9,372,326,400
Unix timestamp at the end-9,340,790,401
Years from now353 years ago
Days from today129,189 days since 1 January
The number 1673
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Also reads as
#116677 (colour)
- #116677
- Cyan
- Dark
- Nearest: Dark slate grey
#116677 is a cyan with RGB values 17, 102, 119 and HSL 190°, 75%, 27%. It is a dark colour, so white text on it reaches 6.6:1 contrast (AA for normal text). The nearest named colour is Dark slate grey.
Colour values
#116677#116677
HEX#116677
HEX (short)#167
RGBrgb(17, 102, 119)
RGB (0–1)0.0667, 0.4, 0.4667
RGB percentages6.7%, 40%, 46.7%
HSLhsl(190, 75%, 26.7%)
HSV / HSBhsv(190, 85.7%, 46.7%)
CMYK85.7%, 14.3%, 0%, 53.3%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer1,140,343
CSS custom property--colour: #116677;
Brightness & contrast
Relative luminance0.10954WCAG 2.x, 0 is black and 1 is white
Perceived brightness88.4 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 6.58:1
Contrast with white6.58:1WCAG normal text: AA
Contrast with black3.19:1WCAG normal text: Fail
Greyscale equivalent#555555
Inverted#EE9988
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text6.58:1WCAG large text: AAA
Contrast with black, large text3.19:1WCAG large text: AA
Named colours
Hue familycyan
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#772211
Analogous#117755, #113377
Triadic#771166, #667711
Split complementary#771133, #775511
Tetradic#551177, #772211, #337711
Tints, shades & saturation
Channel breakdown
R17
G102
B119
Red17 (6.7%)
Green102 (40%)
Blue119 (46.7%)
Hue190°
Saturation (HSL)75%
Lightness26.67%
Dominant channelBlue
Hex per channelR 11 · G 66 · B 77
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Harmonies
Similar named colours
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