Recognised as Number
-1,000,003
- Negative
- Odd
- 7 digits
-1,000,003 is an odd 7-digit integer and the negative of 1,000,003. It has 2 divisors and a digital root of 4.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value1,000,003
Digit count7
Digit sum4
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root4repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 1,000,003
Distinct prime factors11,000,003
Number of divisors2
Sum of divisors σ(n)1,000,004
SquarefreeYesno repeated prime factor
All divisors1, 1,000,0032 in total
Arithmetic
Previous number-1,000,004
Next number-1,000,002
Double-2,000,006
Half-500,001.5
Square1,000,006,000,009
Cube-1,000,009,000,027,000,027
Cube root-100.0001≈
Negation1,000,003
Reciprocal-9.99997 × 10^-7≈
Representations
Decimal-1,000,003
Binary1111010000100100001120 bits
Octal3641103
HexadecimalF4243
Base 36LFLV
In wordsminus one million and three
Ordinalminus one million and third
Scientific notation-1.000003 × 10^6
Engineering notation-1.000003 × 10^6
In other bases
Ternary1212210202011base 3; the most digit-efficient integer base after e: 13 digits
Quinary224000003base 5; one hand: 9 digits
Septenary11333314base 7: 8 digits
Nonary1783664base 9; each digit is two ternary digits: 7 digits
Duodecimal402857base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits
Vigesimal65003base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits
Sexagesimal4:37:46:43base 60; Babylonian, and still how an hour and a circle are divided: 4 digits
Balanced ternaryT10101TT1T10TTdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1100011100001011001101base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
11111111111100001011110110111101
Bit length20 bitsto write the magnitude
Set bits9the population count, or Hamming weight
Zero bits11within that length
Bit parityodd9 set bits, so odd; not the same as the number itself being odd
Highest set bitbit 19worth 524,288
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes30f 42 43
Gray code10001110001101100010n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit11111111111100001011110110111101two's complement
64-bit1111111111111111111111111111111111111111111100001011110110111101two's complement
One's complement00000000000011110100001001000010at 32 bits, every bit flipped
Bits reversed10111101101111010000111111111111at 32 bits
Rotated left by 111111111111000010111101101111011at 32 bits, wrapping
Shifted left by 1-111101000010010000110= -2,000,006, no wrap
Shifted right by 1-1111010000100100010= -500,001, discarding the low bit
These bits as a double4.94067128 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-1,000,003 to the power 21,000,006,000,009
-1,000,003 to the power 3-1,000,009,000,027,000,027
-1,000,003 to the power 41,000,012,000,054,000,108,000,081
-1,000,003 to the power 5-1,000,015,000,090,000,270,000,405,000,243
First ten multiples-1,000,003, -2,000,006, -3,000,009, -4,000,012, -5,000,015, -6,000,018, -7,000,021, -8,000,024, -9,000,027, -10,000,030
Powers of twoBetween 2^19 (524,288) and 2^20 (1,048,576)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 1
Divisible by 4No, remainder 3
Divisible by 5No, remainder 3
Divisible by 6No, remainder 1
Divisible by 7No, remainder 4
Divisible by 8No, remainder 3
Divisible by 9No, remainder 4
Divisible by 10No, remainder 3
Divisible by 11No, remainder 4
Divisible by 12No, remainder 7
Divisible by 100No, remainder 3
As a percentage & fraction
As a percentage-100,000,300%
-1,000,003% as a decimal-10,000.03
-1,000,003% of 100-1,000,003
-1,000,003% of 1,000-10,000,030
As a fraction of 100-1,000,003/100
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