Recognised as Number
7,321
- Positive
- Odd
- Prime
- 4 digits
7,321 is an odd 4-digit integer and a prime number. It has 2 divisors and a digital root of 4.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityPrime
Absolute value7,321
Digit count4
Digit sum13
Digit product42
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root4repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation7,321
Distinct prime factors17,321
Number of divisors2
Sum of divisors σ(n)7,322
Aliquot sum1sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)7,320integers below n that share no factor with it
Carmichael function λ(n)7,320the smallest exponent with aˣ ≡ 1 for every unit coprime to n
Möbius function μ(n)−11 distinct prime factor, an odd number of them
SquarefreeYesno repeated prime factor
All divisors1, 7,3212 in total
Arithmetic
Previous number7,320
Next number7,322
Double14,642
Half3,660.5
Square53,597,041
Cube392,383,937,161
Square root85.562842403≈irrational, shown to 9 decimal places
Cube root19.417357901≈
Negation-7,321
Reciprocal0.0001365934≈
Representations
Decimal7,321
Binary111001001100113 bits
Octal16231
Hexadecimal1C99
Base 365ND
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsseven thousand, three hundred and twenty-one
Ordinalseven thousand, three hundred and twenty-first
Scientific notation7.321 × 10^3
Engineering notation7.321 × 10^3
In other bases
Ternary101001011base 3; the most digit-efficient integer base after e: 9 digits
Quinary213241base 5; one hand: 6 digits
Septenary30226base 7: 5 digits
Nonary11034base 9; each digit is two ternary digits: 5 digits
Duodecimal42a1base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimali61base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal2:2:1base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternary101001011digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110110111101001base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0001110010011001
Bit length13 bitsto write the magnitude
Set bits7the population count, or Hamming weight
Zero bits6within that length
Bit parityodd7 set bits, so odd; not the same as the number itself being odd
Highest set bitbit 12worth 4,096
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes21c 99
Gray code1001011010101n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0001110010011001
32-bit00000000000000000001110010011001
64-bit0000000000000000000000000000000000000000000000000001110010011001
One's complement1110001101100110at 16 bits, every bit flipped
Bits reversed1001100100111000at 16 bits
Rotated left by 10011100100110010at 16 bits, wrapping
Shifted left by 111100100110010= 14,642, no wrap
Shifted right by 1111001001100= 3,660, discarding the low bit
These bits as a double3.61705459 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
7,321 to the power 253,597,041
7,321 to the power 3392,383,937,161
7,321 to the power 42,872,642,803,955,681
7,321 to the power 521,030,617,967,759,540,601
First ten multiples7,321, 14,642, 21,963, 29,284, 36,605, 43,926, 51,247, 58,568, 65,889, 73,210
Powers of twoBetween 2^12 (4,096) and 2^13 (8,192)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 1
Divisible by 4No, remainder 1
Divisible by 5No, remainder 1
Divisible by 6No, remainder 1
Divisible by 7No, remainder 6
Divisible by 8No, remainder 1
Divisible by 9No, remainder 4
Divisible by 10No, remainder 1
Divisible by 11No, remainder 6
Divisible by 12No, remainder 1
Divisible by 100No, remainder 21
Collatz (3n + 1) trajectory
Steps to reach 144the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps7,321 → 21,964 → 10,982 → 5,491 → 16,474 → 8,237 → 24,712 → 12,356 → 6,178 → 3,089 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage732,100%
7,321% as a decimal73.21
7,321% of 1007,321
7,321% of 1,00073,210
As a fraction of 1007,321/100
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Derived from 7,321
Also reads as
7321 (year)
- Common year
- 365 days
- 74th century
- Rooster
7321 will be a common year of 365 days. It begins on a Wednesday and ends on a Wednesday. Easter Sunday falls 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 as7310the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in7327, 7338, 73496 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 7321
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 start168,861,283,200
Unix timestamp at the end168,892,819,199
Years from now5,295 years from now
Days from today1,933,697 days to 1 January
The number 7321
As a number7,321
In wordsseven thousand, three hundred and twenty-one
Roman numeralsNot defined above 3,999
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Also reads as
#773322 (colour)
- #773322
- Red
- Dark
- Nearest: Sienna
#773322 is a red with RGB values 119, 51, 34 and HSL 12°, 56%, 30%. It is a dark colour, so white text on it reaches 9.2:1 contrast (AAA for normal text). The nearest named colour is Sienna.
Colour values
#773322#773322
HEX#773322
HEX (short)#732
RGBrgb(119, 51, 34)
RGB (0–1)0.4667, 0.2, 0.1333
RGB percentages46.7%, 20%, 13.3%
HSLhsl(12, 55.6%, 30%)
HSV / HSBhsv(12, 71.4%, 46.7%)
CMYK0%, 57.1%, 71.4%, 53.3%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer7,811,874
CSS custom property--colour: #773322;
Brightness & contrast
Relative luminance0.06405WCAG 2.x, 0 is black and 1 is white
Perceived brightness76.8 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 9.21:1
Contrast with white9.21:1WCAG normal text: AAA
Contrast with black2.28:1WCAG normal text: Fail
Greyscale equivalent#404040
Inverted#88CCDD
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text9.21:1WCAG large text: AAA
Contrast with black, large text2.28:1WCAG large text: Fail
Named colours
Hue familyred
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#226677
Analogous#77223B, #775E22
Triadic#227733, #332277
Split complementary#22775E, #223B77
Tetradic#3C7722, #226677, #5E2277
Tints, shades & saturation
Channel breakdown
R119
G51
B34
Red119 (46.7%)
Green51 (20%)
Blue34 (13.3%)
Hue12°
Saturation (HSL)55.56%
Lightness30%
Dominant channelRed
Hex per channelR 77 · G 33 · B 22
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