Recognised as Number
-2,000,003
- Negative
- Odd
- 7 digits
-2,000,003 is an odd 7-digit integer and the negative of 2,000,003. It has 2 divisors and a digital root of 5.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value2,000,003
Digit count7
Digit sum5
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root5repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2,000,003
Distinct prime factors12,000,003
Number of divisors2
Sum of divisors σ(n)2,000,004
SquarefreeYesno repeated prime factor
All divisors1, 2,000,0032 in total
Arithmetic
Previous number-2,000,004
Next number-2,000,002
Double-4,000,006
Half-1,000,001.5
Square4,000,012,000,009
Cube-8,000,036,000,054,000,027
Cube root-125.992167986≈
Negation2,000,003
Reciprocal-4.9999925 × 10^-7≈
Representations
Decimal-2,000,003
Binary11110100001001000001121 bits
Octal7502203
Hexadecimal1E8483
Base 3616V7N
In wordsminus two million and three
Ordinalminus two million and third
Scientific notation-2.000003 × 10^6
Engineering notation-2.000003 × 10^6
In other bases
Ternary10202121111012base 3; the most digit-efficient integer base after e: 14 digits
Quinary1003000003base 5; one hand: 10 digits
Septenary22666625base 7: 8 digits
Nonary3677435base 9; each digit is two ternary digits: 7 digits
Duodecimal8054abbase 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits
Vigesimalca003base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits
Sexagesimal9:15:33:23base 60; Babylonian, and still how an hour and a circle are divided: 4 digits
Balanced ternaryTT1T011TTTTT11digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1001101000110010001101base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
11111111111000010111101101111101
Bit length21 bitsto write the magnitude
Set bits9the population count, or Hamming weight
Zero bits12within that length
Bit parityodd9 set bits, so odd; not the same as the number itself being odd
Highest set bitbit 20worth 1,048,576
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes31e 84 83
Gray code100011100011011000010n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit11111111111000010111101101111101two's complement
64-bit1111111111111111111111111111111111111111111000010111101101111101two's complement
One's complement00000000000111101000010010000010at 32 bits, every bit flipped
Bits reversed10111110110111101000011111111111at 32 bits
Rotated left by 111111111110000101111011011111011at 32 bits, wrapping
Shifted left by 1-1111010000100100000110= -4,000,006, no wrap
Shifted right by 1-11110100001001000010= -1,000,001, discarding the low bit
These bits as a double9.88132774 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-2,000,003 to the power 24,000,012,000,009
-2,000,003 to the power 3-8,000,036,000,054,000,027
-2,000,003 to the power 416,000,096,000,216,000,216,000,081
-2,000,003 to the power 5-32,000,240,000,720,001,080,000,810,000,243
First ten multiples-2,000,003, -4,000,006, -6,000,009, -8,000,012, -10,000,015, -12,000,018, -14,000,021, -16,000,024, -18,000,027, -20,000,030
Powers of twoBetween 2^20 (1,048,576) and 2^21 (2,097,152)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 2
Divisible by 4No, remainder 3
Divisible by 5No, remainder 3
Divisible by 6No, remainder 5
Divisible by 7No, remainder 5
Divisible by 8No, remainder 3
Divisible by 9No, remainder 5
Divisible by 10No, remainder 3
Divisible by 11No, remainder 5
Divisible by 12No, remainder 11
Divisible by 100No, remainder 3
As a percentage & fraction
As a percentage-200,000,300%
-2,000,003% as a decimal-20,000.03
-2,000,003% of 100-2,000,003
-2,000,003% of 1,000-20,000,030
As a fraction of 100-2,000,003/100
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