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Recognised as Number

1,325

  • Positive
  • Odd
  • Composite
  • 4 digits

1,325 is an odd 4-digit integer and a composite number. It has 6 divisors and a digital root of 2.

Number properties

ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value1,325
Digit count4
Digit sum11
Digit product30
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root2repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation5^2 × 53
Distinct prime factors25, 53
Number of divisors6
Sum of divisors σ(n)1,674
Aliquot sum349sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)1,040integers below n that share no factor with it
Carmichael function λ(n)260the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 1,040
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 5, 25, 53, 265, 1,3256 in total

Arithmetic

Previous number1,324
Next number1,326
Double2,650
Half662.5
Square1,755,625
Square root36.400549446irrational, shown to 9 decimal places
Cube root10.983446175
Negation-1,325
Reciprocal0.000754717

Representations

Decimal1,325
Binary1010010110111 bits
Octal2455
Hexadecimal52D
Base 3610T
Roman numeralMCCCXXV
In wordsone thousand, three hundred and twenty-five
Ordinalone thousand, three hundred and twenty-fifth
Scientific notation1.325 × 10^3
Engineering notation1.325 × 10^3

In other bases

Ternary1211002base 3; the most digit-efficient integer base after e: 7 digits
Quinary20300base 5; one hand: 5 digits
Septenary3602base 7: 4 digits
Nonary1732base 9; each digit is two ternary digits: 4 digits
Duodecimal925base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal365base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal22:5base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary1TT1101Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary10101111101base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

0000010100101101
Bit length11 bitsto write the magnitude
Set bits6the population count, or Hamming weight
Zero bits5within that length
Bit parityeven6 set bits, so even; not the same as the number itself being odd
Highest set bitbit 10worth 1,024
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes205 2d
Gray code11110111011n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

16-bit0000010100101101
32-bit00000000000000000000010100101101
64-bit0000000000000000000000000000000000000000000000000000010100101101
One's complement1111101011010010at 16 bits, every bit flipped
Bits reversed1011010010100000at 16 bits
Rotated left by 10000101001011010at 16 bits, wrapping
Shifted left by 1101001011010= 2,650, no wrap
Shifted right by 11010010110= 662, discarding the low bit
These bits as a double6.54636981 × 10^-321IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime1,327+2
Previous prime1,321−4
Distance to nearest prime2
Nearest square below1,296
Nearest square above1,369

Powers & multiples

1,325 to the power 21,755,625
1,325 to the power 32,326,203,125
1,325 to the power 43,082,219,140,625
1,325 to the power 54,083,940,361,328,125
First ten multiples1,325, 2,650, 3,975, 5,300, 6,625, 7,950, 9,275, 10,600, 11,925, 13,250
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 5Yes
Divisible by 6No, remainder 5
Divisible by 7No, remainder 2
Divisible by 8No, remainder 5
Divisible by 9No, remainder 2
Divisible by 10No, remainder 5
Divisible by 11No, remainder 5
Divisible by 12No, remainder 5
Divisible by 100No, remainder 25

Collatz (3n + 1) trajectory

Steps to reach 126the total stopping time
Highest value reached3,9763× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps1,325 → 3,976 → 1,988 → 994 → 497 → 1,492 → 746 → 373 → 1,120 → 560 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage132,500%
1,325% as a decimal13.25
1,325% of 1001,325
1,325% of 1,00013,250
As a fraction of 1001,325/100

Read another way

As bytes1.294 KiB
As a year1325 AD
As a 24-bit colour#00052D

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Also reads as

1325 (year)

  • Common year
  • 365 days
  • 14th century
  • Ox

1325 was a common year of 365 days. It began on a Monday and ended on a Monday. Easter Sunday fell on 8 April.

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Structure of the year

Leap yearNonot divisible by 4
Days in the year365
Days in February28
1 January fell on aMonday
31 December fell on aMonday
Century14th century
Decade1320s
Chinese zodiacOx
Easter Sunday8 April

Patterns forced by the calendar

Weekday counts52 of each, plus an extra Monday365 days is 52 weeks and 1 day, and the remainder starts on the weekday 1 January falls on
Sundays52
Mondays53one of the extras
Tuesdays52
Wednesdays52
Thursdays52
Fridays52
Saturdays52
Friday the 13th2 of them13 April, 13 July
ISO weeks52an ordinary 52-week year
Same calendar as1314the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in1331, 1342, 13536 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year

Months of 1325

Time references

These values depend on today’s date and change daily.

Unix timestamp at the start-20,354,198,400
Unix timestamp at the end-20,322,662,401
Years from now701 years ago
Days from today256,295 days since 1 January

The number 1325

As a number1,325
In wordsone thousand, three hundred and twenty-five
Roman numeralsMCCCXXV

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Also reads as

#113322 (colour)

  • #113322
  • Cyan
  • Dark
  • Nearest: Dark slate grey

#113322 is a cyan with RGB values 17, 51, 34 and HSL 150°, 50%, 13%. It is a dark colour, so white text on it reaches 13.8:1 contrast (AAA for normal text). The nearest named colour is Dark slate grey.

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Colour values

#113322#113322
HEX#113322
HEX (short)#132
RGBrgb(17, 51, 34)
RGB (0–1)0.0667, 0.2, 0.1333
RGB percentages6.7%, 20%, 13.3%
HSLhsl(150, 50%, 13.3%)
HSV / HSBhsv(150, 66.7%, 20%)
CMYK66.7%, 0%, 33.3%, 80%naive device-independent conversion; real print needs an ICC profile
24-bit integer1,127,202
CSS custom property--colour: #113322;

Brightness & contrast

Relative luminance0.02602WCAG 2.x, 0 is black and 1 is white
Perceived brightness41.8 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 13.81:1
Contrast with white13.81:1WCAG normal text: AAA
Contrast with black1.52:1WCAG normal text: Fail
Greyscale equivalent#2B2B2B
Inverted#EECCDD

Colour vision & accessibility

Protanopia#322F21no red cones; affects about 1% of men; ΔE 16.1 from the original
Deuteranopia#2E2B23no green cones; the most common form, about 1% of men; ΔE 17.1 from the original
Tritanopia#05332Eno blue cones; rare, and affects men and women equally; ΔE 8.4 from the original
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text13.81:1WCAG large text: AAA
Contrast with black, large text1.52:1WCAG large text: Fail

Named colours

Nearest named CSS colourDark slate grey (#2F4F4F)ΔE 17.77, a distinctly different colour
Hue familycyan
CSS keyword usableNo exact keyword

Colour harmonies

Complementary#331122
Analogous#113311, #113333
Triadic#221133, #332211
Split complementary#331133, #331111
Tetradic#111133, #331122, #333311

Tints, shades & saturation

Lighter +40%#4CC488
Lighter +30%#37A66F
Lighter +20%#2A8055
Lighter +10%#1E593C
Darker −10%#040D09
Darker −20%#000000
Darker −30%#000000
Darker −40%#000000
More saturated +25%#083C22
Less saturated −25%#192B22

Channel breakdown

R17
G51
B34
Red17 (6.7%)
Green51 (20%)
Blue34 (13.3%)
Hue150°
Saturation (HSL)50%
Lightness13.33%
Dominant channelGreen
Hex per channelR 11 · G 33 · B 22

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Every value on this page was computed from “1325” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.