Recognised as Number
-3,018
- Negative
- Even
- 4 digits
-3,018 is an even 4-digit integer and the negative of 3,018. It has 8 divisors and a digital root of 3.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value3,018
Digit count4
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
Factors & divisors
Prime factorisation−1 × 2 × 3 × 503
Distinct prime factors32, 3, 503
Number of divisors8
Sum of divisors σ(n)6,048
SquarefreeYesno repeated prime factor
All divisors1, 2, 3, 6, 503, 1,006, 1,509, 3,0188 in total
Arithmetic
Representations
Decimal-3,018
Binary10111100101012 bits
Octal5712
HexadecimalBCA
Base 362BU
In wordsminus three thousand and eighteen
Ordinalminus three thousand and eighteenth
Scientific notation-3.018 × 10^3
Engineering notation-3.018 × 10^3
In other bases
Ternary11010210base 3; the most digit-efficient integer base after e: 8 digits
Quinary44033base 5; one hand: 5 digits
Septenary11541base 7: 5 digits
Nonary4123base 9; each digit is two ternary digits: 4 digits
Duodecimal18b6base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimal7aibase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal50:18base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryTT0TT1T0digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary11010001001010base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111010000110110
Bit length12 bitsto write the magnitude
Set bits7the population count, or Hamming weight
Zero bits5within that length
Bit parityodd7 set bits, so odd; not the same as the number itself being even
Highest set bitbit 11worth 2,048
Lowest set bitbit 11 trailing zero
Power of twoNo
Bytes20b ca
Gray code111000101111n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111010000110110two's complement
32-bit11111111111111111111010000110110two's complement
64-bit1111111111111111111111111111111111111111111111111111010000110110two's complement
One's complement0000101111001001at 16 bits, every bit flipped
Bits reversed0110110000101111at 16 bits
Rotated left by 11110100001101101at 16 bits, wrapping
Shifted left by 1-1011110010100= -6,036, no wrap
Shifted right by 1-10111100101= -1,509, discarding the low bit
These bits as a double1.49109012 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-3,018 to the power 29,108,324
-3,018 to the power 3-27,488,921,832
-3,018 to the power 482,961,566,088,976
-3,018 to the power 5-250,378,006,456,529,568
First ten multiples-3,018, -6,036, -9,054, -12,072, -15,090, -18,108, -21,126, -24,144, -27,162, -30,180
Powers of twoBetween 2^11 (2,048) and 2^12 (4,096)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4No, remainder 2
Divisible by 5No, remainder 3
Divisible by 6Yes
Divisible by 7No, remainder 1
Divisible by 8No, remainder 2
Divisible by 9No, remainder 3
Divisible by 10No, remainder 8
Divisible by 11No, remainder 4
Divisible by 12No, remainder 6
Divisible by 100No, remainder 18
As a percentage & fraction
As a percentage-301,800%
-3,018% as a decimal-30.18
-3,018% of 100-3,018
-3,018% of 1,000-30,180
As a fraction of 100-3,018/100
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