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Recognised as Number

998,001

  • Positive
  • Odd
  • Composite
  • Perfect square
  • 6 digits

998,001 is an odd 6-digit integer and a composite number. It has 21 divisors and a digital root of 9.

Number properties

ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value998,001
Digit count6
Digit sum27
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root9repeated digit sum
PalindromicNoreads differently backwards
Perfect squareYes, 999²
Happy numberNosquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum

Factors & divisors

Prime factorisation3^6 × 37^2
Distinct prime factors23, 37
Number of divisors21
Sum of divisors σ(n)1,537,851
Aliquot sum539,850sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)647,352integers below n that share no factor with it
Carmichael function λ(n)35,964the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 647,352
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 3, 9, 27, 37, 81, 111, 243, 333, 729, 999, 1,369, 2,997, 4,107, 8,991, 12,321, 26,973, 36,963, 110,889, 332,667, 998,00121 in total

Arithmetic

Previous number998,000
Next number998,002
Double1,996,002
Cube994,014,980,014,994,001
Square root999exact
Cube root99.933322217≈
Negation-998,001
Reciprocal0.000001002≈

Representations

Decimal998,001
Binary1111001110100111000120 bits
Octal3635161
HexadecimalF3A71
Base 36LE29
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsnine hundred and ninety-eight thousand and one
Ordinalnine hundred and ninety-eight thousand and first
Scientific notation9.98001 × 10^5
Engineering notation998.001 × 10^3

In other bases

Ternary1212201000000base 3; the most digit-efficient integer base after e: 13 digits
Quinary223414001base 5; one hand: 9 digits
Septenary11324424base 7: 8 digits
Nonary1781000base 9; each digit is two ternary digits: 7 digits
Duodecimal401669base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits
Vigesimal64f01base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits
Sexagesimal4:37:13:21base 60; Babylonian, and still how an hour and a circle are divided: 4 digits
Balanced ternary1T0T0T01000000digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary100110100111110110001base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

00000000000011110011101001110001
Bit length20 bitsto write the magnitude
Set bits12the population count, or Hamming weight
Zero bits8within that length
Bit parityeven12 set bits, so even; not the same as the number itself being odd
Highest set bitbit 19worth 524,288
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes30f 3a 71
Gray code10001010011101001001n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

32-bit00000000000011110011101001110001
64-bit0000000000000000000000000000000000000000000011110011101001110001
One's complement11111111111100001100010110001110at 32 bits, every bit flipped
Bits reversed10001110010111001111000000000000at 32 bits
Rotated left by 100000000000111100111010011100010at 32 bits, wrapping
Shifted left by 1111100111010011100010= 1,996,002, no wrap
Shifted right by 11111001110100111000= 499,000, discarding the low bit
These bits as a double4.93078009 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime998,009+8
Previous prime997,991−10
Distance to nearest prime8
Nearest square below998,001
Nearest square above1,000,000

Powers & multiples

998,001 to the power 2996,005,996,001
998,001 to the power 3994,014,980,014,994,001
998,001 to the power 4992,027,944,069,944,027,992,001
998,001 to the power 5990,044,880,209,748,209,880,044,990,001
First ten multiples998,001, 1,996,002, 2,994,003, 3,992,004, 4,990,005, 5,988,006, 6,986,007, 7,984,008, 8,982,009, 9,980,010
Powers of twoBetween 2^19 (524,288) and 2^20 (1,048,576)

Divisibility tests

Divisible by 2No, remainder 1
Divisible by 3Yes
Divisible by 4No, remainder 1
Divisible by 5No, remainder 1
Divisible by 6No, remainder 3
Divisible by 7No, remainder 4
Divisible by 8No, remainder 1
Divisible by 9Yes
Divisible by 10No, remainder 1
Divisible by 11No, remainder 4
Divisible by 12No, remainder 9
Divisible by 100No, remainder 1

Collatz (3n + 1) trajectory

Steps to reach 190the total stopping time
Highest value reached2,994,0043× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps998,001 → 2,994,004 → 1,497,002 → 748,501 → 2,245,504 → 1,122,752 → 561,376 → 280,688 → 140,344 → 70,172 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage99,800,100%
998,001% as a decimal9,980.01
998,001% of 100998,001
998,001% of 1,0009,980,010
As a fraction of 100998,001/100

Read another way

As bytes974.61 KiB
As a 24-bit colour#0F3A71

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Also reads as

#998001 (colour)

  • #998001
  • Yellow
  • Dark
  • Nearest: Olive

#998001 is a yellow with RGB values 153, 128, 1 and HSL 50°, 99%, 30%. It is a dark colour, so black text on it reaches 5.4:1 contrast (AA for normal text). The nearest named colour is Olive.

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Colour values

#998001#998001
HEX#998001
RGBrgb(153, 128, 1)
RGB (0–1)0.6, 0.502, 0.0039
RGB percentages60%, 50.2%, 0.4%
HSLhsl(50.1, 98.7%, 30.2%)
HSV / HSBhsv(50.1, 99.3%, 60%)
CMYK0%, 16.3%, 99.3%, 40%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer10,059,777
CSS custom property--colour: #998001;

Brightness & contrast

Relative luminance0.22213WCAG 2.x, 0 is black and 1 is white
Perceived brightness128.9 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundBlackcontrast 5.44:1
Contrast with white3.86:1WCAG normal text: Fail
Contrast with black5.44:1WCAG normal text: AA
Greyscale equivalent#7C7C7C
Inverted#667FFE

Colour vision & accessibility

Protanopia#8F7D00no red cones; affects about 1% of men; ΔE 3.9 from the original
Deuteranopia#958511no green cones; the most common form, about 1% of men; ΔE 5.1 from the original
Tritanopia#A6746Cno blue cones; rare, and affects men and women equally; ΔE 51 from the original
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text3.86:1WCAG large text: AA
Contrast with black, large text5.44:1WCAG large text: AAA

Named colours

Nearest named CSS colourOlive (#808000)ΔE 12.25, a distinctly different colour
Hue familyyellow
CSS keyword usableNo exact keyword

Colour harmonies

Complementary#011A99
Analogous#993401, #669901
Triadic#019980, #800199
Split complementary#016699, #340199
Tetradic#019934, #011A99, #990166

Tints, shades & saturation

Lighter +40%#FEE568
Lighter +30%#FEDD35
Lighter +20%#FDD403
Lighter +10%#CCAA01
Darker −10%#665601
Darker −20%#342B00
Darker −30%#010100
Darker −40%#000000
More saturated +25%#9A8100
Less saturated −25%#867314

Channel breakdown

R153
G128
B1
Red153 (60%)
Green128 (50.2%)
Blue1 (0.4%)
Hue50.13°
Saturation (HSL)98.7%
Lightness30.2%
Dominant channelRed
Hex per channelR 99 · G 80 · B 01

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