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Recognised as Number

601

  • Positive
  • Odd
  • Prime
  • 3 digits

601 is an odd 3-digit integer and a prime number. It has 2 divisors and a digital root of 7.

Number properties

ParityOddnot divisible by 2
SignPositive
PrimalityPrime
Absolute value601
Digit count3
Digit sum7
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root7repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation601
Distinct prime factors1601
Number of divisors2
Sum of divisors σ(n)602
Aliquot sum1sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)600integers below n that share no factor with it
Carmichael function λ(n)600the 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, 6012 in total

Arithmetic

Previous number600
Next number602
Double1,202
Half300.5
Square361,201
Square root24.515301344irrational, shown to 9 decimal places
Cube root8.439009789
Negation-601
Reciprocal0.0016638935
601 factorial7606089620514838762676625625335648407900… (1,411 digits)

Representations

Decimal601
Binary100101100110 bits
Octal1131
Hexadecimal259
Base 36GP
Roman numeralDCI
In wordssix hundred and one
Ordinalsix hundred and first
Scientific notation6.01 × 10^2
Engineering notation601

In other bases

Ternary211021base 3; the most digit-efficient integer base after e: 6 digits
Quinary4401base 5; one hand: 4 digits
Septenary1516base 7: 4 digits
Nonary737base 9; each digit is two ternary digits: 3 digits
Duodecimal421base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal1a1base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal10:1base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary1T111T1digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary11110101001base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

0000001001011001
Bit length10 bitsto write the magnitude
Set bits5the population count, or Hamming weight
Zero bits5within that length
Bit parityodd5 set bits, so odd; not the same as the number itself being odd
Highest set bitbit 9worth 512
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes202 59
Gray code1101110101n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

16-bit0000001001011001
32-bit00000000000000000000001001011001
64-bit0000000000000000000000000000000000000000000000000000001001011001
One's complement1111110110100110at 16 bits, every bit flipped
Bits reversed1001101001000000at 16 bits
Rotated left by 10000010010110010at 16 bits, wrapping
Shifted left by 110010110010= 1,202, no wrap
Shifted right by 1100101100= 300, discarding the low bit
These bits as a double2.96933453 × 10^-321IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime607+6
Previous prime599−2
Distance to nearest prime0, it is prime
Nearest square below576
Nearest square above625

Powers & multiples

601 to the power 2361,201
601 to the power 3217,081,801
601 to the power 4130,466,162,401
601 to the power 578,410,163,603,001
First ten multiples601, 1,202, 1,803, 2,404, 3,005, 3,606, 4,207, 4,808, 5,409, 6,010
Powers of twoBetween 2^9 (512) and 2^10 (1,024)

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 7
Divisible by 10No, remainder 1
Divisible by 11No, remainder 7
Divisible by 12No, remainder 1
Divisible by 100No, remainder 1

Collatz (3n + 1) trajectory

Steps to reach 156the total stopping time
Highest value reached4,3727× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps601 → 1,804 → 902 → 451 → 1,354 → 677 → 2,032 → 1,016 → 508 → 254 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage60,100%
601% as a decimal6.01
601% of 100601
601% of 1,0006,010
As a fraction of 100601/100

Read another way

As bytes601 B
As a 24-bit colour#000259

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Also reads as

#660011 (colour)

  • #660011
  • Red
  • Dark
  • Nearest: Maroon

#660011 is a red with RGB values 102, 0, 17 and HSL 350°, 100%, 20%. It is a dark colour, so white text on it reaches 13.3:1 contrast (AAA for normal text). The nearest named colour is Maroon.

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Colour values

#660011#660011
HEX#660011
HEX (short)#601
RGBrgb(102, 0, 17)
RGB (0–1)0.4, 0, 0.0667
RGB percentages40%, 0%, 6.7%
HSLhsl(350, 100%, 20%)
HSV / HSBhsv(350, 100%, 40%)
CMYK0%, 100%, 83.3%, 60%naive device-independent conversion; real print needs an ICC profile
24-bit integer6,684,689
CSS custom property--colour: #660011;

Brightness & contrast

Relative luminance0.02865WCAG 2.x, 0 is black and 1 is white
Perceived brightness56.1 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 13.35:1
Contrast with white13.35:1WCAG normal text: AAA
Contrast with black1.57:1WCAG normal text: Fail
Greyscale equivalent#171717
Inverted#99FFEE

Colour vision & accessibility

Protanopia#262210no red cones; affects about 1% of men; ΔE 44.3 from the original
Deuteranopia#3E360Dno green cones; the most common form, about 1% of men; ΔE 43.7 from the original
Tritanopia#710008no blue cones; rare, and affects men and women equally; ΔE 8.7 from the original
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text13.35:1WCAG large text: AAA
Contrast with black, large text1.57:1WCAG large text: Fail

Named colours

Nearest named CSS colourMaroon (#800000)ΔE 18.14, a distinctly different colour
Hue familyred
CSS keyword usableNo exact keyword

Colour harmonies

Complementary#006655
Analogous#660044, #662200
Triadic#116600, #001166
Split complementary#006622, #004466
Tetradic#446600, #006655, #220066

Tints, shades & saturation

Lighter +40%#FF3355
Lighter +30%#FF002B
Lighter +20%#CC0022
Lighter +10%#99001A
Darker −10%#330009
Darker −20%#000000
Darker −30%#000000
Darker −40%#000000
More saturated +25%#660011
Less saturated −25%#590D1A

Channel breakdown

R102
G0
B17
Red102 (40%)
Green0 (0%)
Blue17 (6.7%)
Hue350°
Saturation (HSL)100%
Lightness20%
Dominant channelRed
Hex per channelR 66 · G 00 · B 11

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Every value on this page was computed from “601” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.