Recognised as Number
7,001
- Positive
- Odd
- Prime
- 4 digits
7,001 is an odd 4-digit integer and a prime number. It has 2 divisors and a digital root of 8.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityPrime
Absolute value7,001
Digit count4
Digit sum8
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times 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 factorisation7,001
Distinct prime factors17,001
Number of divisors2
Sum of divisors σ(n)7,002
Aliquot sum1sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)7,000integers below n that share no factor with it
Carmichael function λ(n)7,000the 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, 7,0012 in total
Arithmetic
Previous number7,000
Next number7,002
Double14,002
Half3,500.5
Square49,014,001
Cube343,147,021,001
Square root83.671978583≈irrational, shown to 9 decimal places
Cube root19.130222704≈
Negation-7,001
Reciprocal0.0001428367≈
Representations
Decimal7,001
Binary110110101100113 bits
Octal15531
Hexadecimal1B59
Base 365EH
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsseven thousand and one
Ordinalseven thousand and first
Scientific notation7.001 × 10^3
Engineering notation7.001 × 10^3
In other bases
Ternary100121022base 3; the most digit-efficient integer base after e: 9 digits
Quinary211001base 5; one hand: 6 digits
Septenary26261base 7: 5 digits
Nonary10538base 9; each digit is two ternary digits: 5 digits
Duodecimal4075base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimalha1base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal1:56:41base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternary101TT110Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110110010101001base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0001101101011001
Bit length13 bitsto write the magnitude
Set bits8the population count, or Hamming weight
Zero bits5within that length
Bit parityeven8 set bits, so even; 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 59
Gray code1011011110101n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0001101101011001
32-bit00000000000000000001101101011001
64-bit0000000000000000000000000000000000000000000000000001101101011001
One's complement1110010010100110at 16 bits, every bit flipped
Bits reversed1001101011011000at 16 bits
Rotated left by 10011011010110010at 16 bits, wrapping
Shifted left by 111011010110010= 14,002, no wrap
Shifted right by 1110110101100= 3,500, discarding the low bit
These bits as a double3.45895359 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
7,001 to the power 249,014,001
7,001 to the power 3343,147,021,001
7,001 to the power 42,402,372,294,028,001
7,001 to the power 516,819,008,430,490,035,001
First ten multiples7,001, 14,002, 21,003, 28,004, 35,005, 42,006, 49,007, 56,008, 63,009, 70,010
Powers of twoBetween 2^12 (4,096) and 2^13 (8,192)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 2
Divisible by 4No, remainder 1
Divisible by 5No, remainder 1
Divisible by 6No, remainder 5
Divisible by 7No, remainder 1
Divisible by 8No, remainder 1
Divisible by 9No, remainder 8
Divisible by 10No, remainder 1
Divisible by 11No, remainder 5
Divisible by 12No, remainder 5
Divisible by 100No, remainder 1
Collatz (3n + 1) trajectory
Steps to reach 131the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps7,001 → 21,004 → 10,502 → 5,251 → 15,754 → 7,877 → 23,632 → 11,816 → 5,908 → 2,954 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage700,100%
7,001% as a decimal70.01
7,001% of 1007,001
7,001% of 1,00070,010
As a fraction of 1007,001/100
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Derived from 7,001
Also reads as
7001 (year)
- Common year
- 365 days
- 71st century
- Ox
- 53 ISO weeks
7001 will be a common year of 365 days. It begins on a Thursday and ends on a Thursday. Easter Sunday falls on 29 March.
Structure of the year
Patterns forced by the calendar
Weekday counts52 of each, plus an extra Thursday365 days is 52 weeks and 1 day, and the remainder starts on the weekday 1 January falls on
Sundays52
Mondays52
Tuesdays52
Wednesdays52
Thursdays53one of the extras
Fridays52
Saturdays52
Friday the 13th3 of them13 February, 13 March, 13 November
ISO weeks53a long year: 1 January is a Thursday, or a Wednesday in a leap year, so a week 53 exists
Same calendar as6995the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in7007, 7018, 70296 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 7001
January31 days, starts Thursday
February28 days, starts Sunday
August31 days, starts Saturday
September30 days, starts Tuesday
October31 days, starts Thursday
November30 days, starts Sunday
December31 days, starts Tuesday
Time references
These values depend on today’s date and change daily.
Unix timestamp at the start158,763,024,000
Unix timestamp at the end158,794,559,999
Years from now4,975 years from now
Days from today1,816,824 days to 1 January
The number 7001
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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
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