Recognised as Number
4,172
- Positive
- Even
- Composite
- 4 digits
4,172 is an even 4-digit integer and a composite number. It has 12 divisors and a digital root of 5.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value4,172
Digit count4
Digit sum14
Digit product56
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root5repeated digit sum
PalindromicNoreads differently backwards
Happy numberYessquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum
Factors & divisors
Prime factorisation2^2 × 7 × 149
Distinct prime factors32, 7, 149
Number of divisors12
Sum of divisors σ(n)8,400
Aliquot sum4,228sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)1,776integers below n that share no factor with it
Carmichael function λ(n)444the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 1,776
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 7, 14, 28, 149, 298, 596, 1,043, 2,086, 4,17212 in total
Arithmetic
Previous number4,171
Next number4,173
Double8,344
Half2,086
Square17,405,584
Cube72,616,096,448
Square root64.591021048≈irrational, shown to 9 decimal places
Cube root16.098352518≈
Negation-4,172
Reciprocal0.0002396932≈
Representations
Decimal4,172
Binary100000100110013 bits
Octal10114
Hexadecimal104C
Base 3637W
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsfour thousand, one hundred and seventy-two
Ordinalfour thousand, one hundred and seventy-second
Scientific notation4.172 × 10^3
Engineering notation4.172 × 10^3
In other bases
Ternary12201112base 3; the most digit-efficient integer base after e: 8 digits
Quinary113142base 5; one hand: 6 digits
Septenary15110base 7: 5 digits
Nonary5645base 9; each digit is two ternary digits: 4 digits
Duodecimal24b8base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimala8cbase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal1:9:32base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternary1T0T1TTTTdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1000001011100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
0001000001001100
Bit length13 bitsto write the magnitude
Set bits4the population count, or Hamming weight
Zero bits9within that length
Bit parityeven4 set bits, so even; not the same as the number itself being even
Highest set bitbit 12worth 4,096
Lowest set bitbit 22 trailing zeros
Power of twoNo
Bytes210 4c
Gray code1100001101010n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit0001000001001100
32-bit00000000000000000001000001001100
64-bit0000000000000000000000000000000000000000000000000001000001001100
One's complement1110111110110011at 16 bits, every bit flipped
Bits reversed0011001000001000at 16 bits
Rotated left by 10010000010011000at 16 bits, wrapping
Shifted left by 110000010011000= 8,344, no wrap
Shifted right by 1100000100110= 2,086, discarding the low bit
These bits as a double2.06124187 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
4,172 to the power 217,405,584
4,172 to the power 372,616,096,448
4,172 to the power 4302,954,354,381,056
4,172 to the power 51,263,925,566,477,765,632
First ten multiples4,172, 8,344, 12,516, 16,688, 20,860, 25,032, 29,204, 33,376, 37,548, 41,720
Powers of twoBetween 2^12 (4,096) and 2^13 (8,192)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 2
Divisible by 4Yes
Divisible by 5No, remainder 2
Divisible by 6No, remainder 2
Divisible by 7Yes
Divisible by 8No, remainder 4
Divisible by 9No, remainder 5
Divisible by 10No, remainder 2
Divisible by 11No, remainder 3
Divisible by 12No, remainder 8
Divisible by 100No, remainder 72
Collatz (3n + 1) trajectory
Steps to reach 1126the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps4,172 → 2,086 → 1,043 → 3,130 → 1,565 → 4,696 → 2,348 → 1,174 → 587 → 1,762 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage417,200%
4,172% as a decimal41.72
4,172% of 1004,172
4,172% of 1,00041,720
As a fraction of 1004,172/100
Read another way
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Derived from 4,172
Also reads as
4172 (year)
- Leap year
- 366 days
- 42nd century
- Dragon
- 53 ISO weeks
4172 will be a leap year of 366 days. It begins on a Wednesday 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 Wednesday and Thursday366 days is 52 weeks and 2 days, and the remainder starts on the weekday 1 January falls on
Sundays52
Mondays52
Tuesdays52
Wednesdays53one of the extras
Thursdays53one of the extras
Fridays52
Saturdays52
Friday the 13th2 of them13 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 as4144the most recent year whose calendar is identical, so a printed one could be reused
Calendar repeats in4212, 4240, 426840 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year
Months of 4172
January31 days, starts Wednesday
February29 days, starts Saturday
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 start69,488,409,600
Unix timestamp at the end69,520,031,999
Years from now2,146 years from now
Days from today783,553 days to 1 January
The number 4172
As a number4,172
In wordsfour thousand, one hundred and seventy-two
Roman numeralsNot defined above 3,999
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Also reads as
#441177 (colour)
- #441177
- Violet
- Dark
- Nearest: Indigo
#441177 is a violet with RGB values 68, 17, 119 and HSL 270°, 75%, 27%. It is a dark colour, so white text on it reaches 13.2:1 contrast (AAA for normal text). The nearest named colour is Indigo.
Colour values
#441177#441177
HEX#441177
HEX (short)#417
RGBrgb(68, 17, 119)
RGB (0–1)0.2667, 0.0667, 0.4667
RGB percentages26.7%, 6.7%, 46.7%
HSLhsl(270, 75%, 26.7%)
HSV / HSBhsv(270, 85.7%, 46.7%)
CMYK42.9%, 85.7%, 0%, 53.3%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer4,460,919
CSS custom property--colour: #441177;
Brightness & contrast
Relative luminance0.02962WCAG 2.x, 0 is black and 1 is white
Perceived brightness56.3 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 13.19:1
Contrast with white13.19:1WCAG normal text: AAA
Contrast with black1.59:1WCAG normal text: Fail
Greyscale equivalent#232323
Inverted#BBEE88
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text13.19:1WCAG large text: AAA
Contrast with black, large text1.59:1WCAG large text: Fail
Named colours
Hue familyviolet
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#447711
Analogous#111177, #771177
Triadic#774411, #117744
Split complementary#777711, #117711
Tetradic#771111, #447711, #117777
Tints, shades & saturation
Channel breakdown
R68
G17
B119
Red68 (26.7%)
Green17 (6.7%)
Blue119 (46.7%)
Hue270°
Saturation (HSL)75%
Lightness26.67%
Dominant channelBlue
Hex per channelR 44 · G 11 · B 77
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Harmonies
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