Recognised as Number
7,003
- Positive
- Odd
- Composite
- 4 digits
7,003 is an odd 4-digit integer and a composite number. It has 4 divisors and a digital root of 1.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value7,003
Digit count4
Digit sum10
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root1repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation47 × 149
Distinct prime factors247, 149
Number of divisors4
Sum of divisors σ(n)7,200
Aliquot sum197sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)6,808integers below n that share no factor with it
Carmichael function λ(n)3,404the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 6,808
Möbius function μ(n)+12 distinct prime factors, an even number of them
SquarefreeYesno repeated prime factor
All divisors1, 47, 149, 7,0034 in total
Arithmetic
Previous number7,002
Next number7,004
Double14,006
Half3,501.5
Square49,042,009
Cube343,441,189,027
Square root83.683929162≈irrational, shown to 9 decimal places
Cube root19.132044196≈
Negation-7,003
Reciprocal0.0001427959≈
Representations
Decimal7,003
Binary110110101101113 bits
Octal15533
Hexadecimal1B5B
Base 365EJ
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsseven thousand and three
Ordinalseven thousand and third
Scientific notation7.003 × 10^3
Engineering notation7.003 × 10^3
In other bases
Ternary100121101base 3; the most digit-efficient integer base after e: 9 digits
Quinary211003base 5; one hand: 6 digits
Septenary26263base 7: 5 digits
Nonary10541base 9; each digit is two ternary digits: 5 digits
Duodecimal4077base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimalha3base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal1:56:43base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternary101TT1101digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110110010101111base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0001101101011011
Bit length13 bitsto write the magnitude
Set bits9the population count, or Hamming weight
Zero bits4within that length
Bit parityodd9 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
Bytes21b 5b
Gray code1011011110110n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0001101101011011
32-bit00000000000000000001101101011011
64-bit0000000000000000000000000000000000000000000000000001101101011011
One's complement1110010010100100at 16 bits, every bit flipped
Bits reversed1101101011011000at 16 bits
Rotated left by 10011011010110110at 16 bits, wrapping
Shifted left by 111011010110110= 14,006, no wrap
Shifted right by 1110110101101= 3,501, discarding the low bit
These bits as a double3.45994172 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
7,003 to the power 249,042,009
7,003 to the power 3343,441,189,027
7,003 to the power 42,405,118,646,756,081
7,003 to the power 516,843,045,883,232,835,243
First ten multiples7,003, 14,006, 21,009, 28,012, 35,015, 42,018, 49,021, 56,024, 63,027, 70,030
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 3
Divisible by 5No, remainder 3
Divisible by 6No, remainder 1
Divisible by 7No, remainder 3
Divisible by 8No, remainder 3
Divisible by 9No, remainder 1
Divisible by 10No, remainder 3
Divisible by 11No, remainder 7
Divisible by 12No, remainder 7
Divisible by 100No, remainder 3
Collatz (3n + 1) trajectory
Steps to reach 1150the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps7,003 → 21,010 → 10,505 → 31,516 → 15,758 → 7,879 → 23,638 → 11,819 → 35,458 → 17,729 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage700,300%
7,003% as a decimal70.03
7,003% of 1007,003
7,003% of 1,00070,030
As a fraction of 1007,003/100
Read another way
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Derived from 7,003
Also reads as
7003 (year)
- Common year
- 365 days
- 71st century
- Rabbit
7003 will be a common year of 365 days. It begins on a Saturday and ends on a Saturday. Easter Sunday falls on 10 April.
Structure of the year
Patterns forced by the calendar
Weekday counts52 of each, plus an extra Saturday365 days is 52 weeks and 1 day, and the remainder starts on the weekday 1 January falls on
Sundays52
Mondays52
Tuesdays52
Wednesdays52
Thursdays52
Fridays52
Saturdays53one of the extras
Friday the 13th1 of them13 May
ISO weeks52an ordinary 52-week year
Same calendar as6991the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in7014, 7025, 703111 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 7003
January31 days, starts Saturday
February28 days, starts Tuesday
August31 days, starts Monday
September30 days, starts Thursday
October31 days, starts Saturday
November30 days, starts Tuesday
December31 days, starts Thursday
Time references
These values depend on today’s date and change daily.
Unix timestamp at the start158,826,096,000
Unix timestamp at the end158,857,631,999
Years from now4,977 years from now
Days from today1,817,553 days to 1 January
The number 7003
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Also reads as
#770000 (colour)
- #770000
- Red
- Dark
- Nearest: Maroon
#770000 is a red with RGB values 119, 0, 0 and HSL 0°, 100%, 23%. It is a dark colour, so white text on it reaches 11.8:1 contrast (AAA for normal text). The nearest named colour is Maroon.
Colour values
#770000#770000
HEX#770000
HEX (short)#700
RGBrgb(119, 0, 0)
RGB (0–1)0.4667, 0, 0
RGB percentages46.7%, 0%, 0%
HSLhsl(0, 100%, 23.3%)
HSV / HSBhsv(0, 100%, 46.7%)
CMYK0%, 100%, 100%, 53.3%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer7,798,784
CSS custom property--colour: #770000;
Brightness & contrast
Relative luminance0.03922WCAG 2.x, 0 is black and 1 is white
Perceived brightness65.1 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 11.77:1
Contrast with white11.77:1WCAG normal text: AAA
Contrast with black1.78:1WCAG normal text: Fail
Greyscale equivalent#191919
Inverted#88FFFF
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text11.77:1WCAG large text: AAA
Contrast with black, large text1.78:1WCAG large text: Fail
Named colours
Hue familyred
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#007777
Analogous#77003B, #773B00
Triadic#007700, #000077
Split complementary#00773B, #003B77
Tetradic#3B7700, #007777, #3B0077
Tints, shades & saturation
Channel breakdown
R119
G0
B0
Red119 (46.7%)
Green0 (0%)
Blue0 (0%)
Hue0°
Saturation (HSL)100%
Lightness23.33%
Dominant channelRed
Hex per channelR 77 · G 00 · B 00
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Nerdulate something else
Nothing in mind? Surprise me · today’s page