Recognised as Number
33,420
- Positive
- Even
- Composite
- 5 digits
33,420 is an even 5-digit integer and a composite number. It has 24 divisors and a digital root of 3.
The canonical address for this page is /33420.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value33,420
Digit count5
Digit sum12
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root3repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum
Factors & divisors
Prime factorisation2^2 × 3 × 5 × 557
Distinct prime factors42, 3, 5, 557
Number of divisors24
Sum of divisors σ(n)93,744
Aliquot sum60,324sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)8,896integers below n that share no factor with it
Carmichael function λ(n)556the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 8,896
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 557, 1,114, 1,671, 2,228, 2,785, 3,342, 5,570, 6,684, 8,355, 11,140, 16,710, 33,42024 in total
Arithmetic
Representations
Decimal33,420
Binary100000101000110016 bits
Octal101214
Hexadecimal828C
Base 36PSC
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsthirty-three thousand, four hundred and twenty
Ordinalthirty-three thousand, four hundred and twentieth
Scientific notation3.342 × 10^4
Engineering notation33.42 × 10^3
In other bases
Ternary1200211210base 3; the most digit-efficient integer base after e: 10 digits
Quinary2032140base 5; one hand: 7 digits
Septenary166302base 7: 6 digits
Nonary50753base 9; each digit is two ternary digits: 5 digits
Duodecimal17410base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 5 digits
Vigesimal43b0base 20; hands and feet, and the Mayan and Yoruba systems: 4 digits
Sexagesimal9:17:0base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternary1TT010TTT10digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary11000011110011100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1000001010001100
Bit length16 bitsto write the magnitude
Set bits5the population count, or Hamming weight
Zero bits11within that length
Bit parityodd5 set bits, so odd; not the same as the number itself being even
Highest set bitbit 15worth 32,768
Lowest set bitbit 22 trailing zeros
Power of twoNo
Bytes282 8c
Gray code1100001111001010n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1000001010001100
32-bit00000000000000001000001010001100
64-bit0000000000000000000000000000000000000000000000001000001010001100
One's complement0111110101110011at 16 bits, every bit flipped
Bits reversed0011000101000001at 16 bits
Rotated left by 10000010100011001at 16 bits, wrapping
Shifted left by 110000010100011000= 66,840, no wrap
Shifted right by 1100000101000110= 16,710, discarding the low bit
These bits as a double1.65116739 × 10^-319≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
33,420 to the power 21,116,896,400
33,420 to the power 337,326,677,688,000
33,420 to the power 41,247,457,568,332,960,000
33,420 to the power 541,690,031,933,687,523,200,000
First ten multiples33,420, 66,840, 100,260, 133,680, 167,100, 200,520, 233,940, 267,360, 300,780, 334,200
Powers of twoBetween 2^15 (32,768) and 2^16 (65,536)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4Yes
Divisible by 5Yes
Divisible by 6Yes
Divisible by 7No, remainder 2
Divisible by 8No, remainder 4
Divisible by 9No, remainder 3
Divisible by 10Yes
Divisible by 11No, remainder 2
Divisible by 12Yes
Divisible by 100No, remainder 20
Collatz (3n + 1) trajectory
Steps to reach 1129the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps33,420 → 16,710 → 8,355 → 25,066 → 12,533 → 37,600 → 18,800 → 9,400 → 4,700 → 2,350 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage3,342,000%
33,420% as a decimal334.2
33,420% of 10033,420
33,420% of 1,000334,200
As a fraction of 10033,420/100
Read another way
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Derived from 33,420
Also reads as
#033420 (colour)
- #033420
- Cyan
- Dark
- Nearest: Dark slate grey
#033420 is a cyan with RGB values 3, 52, 32 and HSL 156°, 89%, 11%. It is a dark colour, so white text on it reaches 13.9:1 contrast (AAA for normal text). The nearest named colour is Dark slate grey.
Colour values
#033420#033420
HEX#033420
RGBrgb(3, 52, 32)
RGB (0–1)0.0118, 0.2039, 0.1255
RGB percentages1.2%, 20.4%, 12.5%
HSLhsl(155.5, 89.1%, 10.8%)
HSV / HSBhsv(155.5, 94.2%, 20.4%)
CMYK94.2%, 0%, 38.5%, 79.6%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer209,952
CSS custom property--colour: #033420;
Brightness & contrast
Relative luminance0.0258WCAG 2.x, 0 is black and 1 is white
Perceived brightness41.3 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 13.85:1
Contrast with white13.85:1WCAG normal text: AAA
Contrast with black1.52:1WCAG normal text: Fail
Greyscale equivalent#282828
Inverted#FCCBDF
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text13.85:1WCAG large text: AAA
Contrast with black, large text1.52:1WCAG large text: Fail
Named colours
Hue familycyan
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#340317
Analogous#033408, #033034
Triadic#200334, #342003
Split complementary#340330, #340803
Tetradic#070334, #340317, #303403
Tints, shades & saturation
Channel breakdown
R3
G52
B32
Red3 (1.2%)
Green52 (20.4%)
Blue32 (12.5%)
Hue155.51°
Saturation (HSL)89.09%
Lightness10.78%
Dominant channelGreen
Hex per channelR 03 · G 34 · B 20
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Harmonies
Similar named colours
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