Recognised as Number
507
- Positive
- Odd
- Composite
- 3 digits
507 is an odd 3-digit integer and a composite number. It has 6 divisors and a digital root of 3.
Number properties
ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value507
Digit count3
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 numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation3 × 13^2
Distinct prime factors23, 13
Number of divisors6
Sum of divisors σ(n)732
Aliquot sum225sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)312integers below n that share no factor with it
Carmichael function λ(n)156the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 312
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 3, 13, 39, 169, 5076 in total
Arithmetic
Representations
Decimal507
Binary1111110119 bits
Octal773
Hexadecimal1FB
Base 36E3
Roman numeralDVII
In wordsfive hundred and seven
Ordinalfive hundred and seventh
Scientific notation5.07 × 10^2
Engineering notation507
In other bases
Ternary200210base 3; the most digit-efficient integer base after e: 6 digits
Quinary4012base 5; one hand: 4 digits
Septenary1323base 7: 4 digits
Nonary623base 9; each digit is two ternary digits: 3 digits
Duodecimal363base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal157base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal8:27base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary1T01T10digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary11000001111base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0000000111111011
Bit length9 bitsto write the magnitude
Set bits8the population count, or Hamming weight
Zero bits1within that length
Bit parityeven8 set bits, so even; not the same as the number itself being odd
Highest set bitbit 8worth 256
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes201 fb
Gray code100000110n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0000000111111011
32-bit00000000000000000000000111111011
64-bit0000000000000000000000000000000000000000000000000000000111111011
One's complement1111111000000100at 16 bits, every bit flipped
Bits reversed1101111110000000at 16 bits
Rotated left by 10000001111110110at 16 bits, wrapping
Shifted left by 11111110110= 1,014, no wrap
Shifted right by 111111101= 253, discarding the low bit
These bits as a double2.50491282 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
507 to the power 2257,049
507 to the power 3130,323,843
507 to the power 466,074,188,401
507 to the power 533,499,613,519,307
First ten multiples507, 1,014, 1,521, 2,028, 2,535, 3,042, 3,549, 4,056, 4,563, 5,070
Powers of twoBetween 2^8 (256) and 2^9 (512)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3Yes
Divisible by 4No, remainder 3
Divisible by 5No, remainder 2
Divisible by 6No, remainder 3
Divisible by 7No, remainder 3
Divisible by 8No, remainder 3
Divisible by 9No, remainder 3
Divisible by 10No, remainder 7
Divisible by 11No, remainder 1
Divisible by 12No, remainder 3
Divisible by 100No, remainder 7
Collatz (3n + 1) trajectory
Steps to reach 135the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps507 → 1,522 → 761 → 2,284 → 1,142 → 571 → 1,714 → 857 → 2,572 → 1,286 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage50,700%
507% as a decimal5.07
507% of 100507
507% of 1,0005,070
As a fraction of 100507/100
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Derived from 507
Other readings
Also reads as
#550077 (colour)
- #550077
- Violet
- Dark
- Nearest: Indigo
#550077 is a violet with RGB values 85, 0, 119 and HSL 283°, 100%, 23%. It is a dark colour, so white text on it reaches 12.7:1 contrast (AAA for normal text). The nearest named colour is Indigo.
Colour values
#550077#550077
HEX#550077
HEX (short)#507
RGBrgb(85, 0, 119)
RGB (0–1)0.3333, 0, 0.4667
RGB percentages33.3%, 0%, 46.7%
HSLhsl(282.9, 100%, 23.3%)
HSV / HSBhsv(282.9, 100%, 46.7%)
CMYK28.6%, 100%, 0%, 53.3%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer5,570,679
CSS custom property--colour: #550077;
Brightness & contrast
Relative luminance0.03263WCAG 2.x, 0 is black and 1 is white
Perceived brightness61.4 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 12.71:1
Contrast with white12.71:1WCAG normal text: AAA
Contrast with black1.65:1WCAG normal text: Fail
Greyscale equivalent#1B1B1B
Inverted#AAFF88
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text12.71:1WCAG large text: AAA
Contrast with black, large text1.65:1WCAG large text: Fail
Named colours
Hue familyviolet
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#227700
Analogous#1A0077, #77005D
Triadic#775500, #007755
Split complementary#5D7700, #00771A
Tetradic#771A00, #227700, #005D77
Tints, shades & saturation
Channel breakdown
R85
G0
B119
Red85 (33.3%)
Green0 (0%)
Blue119 (46.7%)
Hue282.86°
Saturation (HSL)100%
Lightness23.33%
Dominant channelBlue
Hex per channelR 55 · G 00 · B 77
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Harmonies
Similar named colours
Also reads as
HTTP 507 Insufficient Storage (http status)
- 507 Insufficient Storage
- Server error
- RFC 4918
HTTP 507 Insufficient Storage is a server error response: the server cannot store what is needed (WebDAV). It is defined in RFC 4918, and the server failed to fulfil an apparently valid request.
What it means
Status code507
Reason phraseInsufficient Storageadvisory only; clients must not depend on the wording
Class5xx Server error
MeaningThe server cannot store what is needed (WebDAV)
Defined inRFC 4918
Cacheable by defaultNoonly cacheable if the response says so explicitly
How clients behave
Indicates an errorYes
Whose faultThe server
Body expectedUsually
Safe to retry automaticallyNo
The 5xx class
Class meaningThe server failed to fulfil an apparently valid request
Codes in this class11
Lowest in class500
Highest in class511
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