Recognised as Number
-4,000,001
- Negative
- Odd
- 7 digits
-4,000,001 is an odd 7-digit integer and the negative of 4,000,001. It has 4 divisors and a digital root of 5.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value4,000,001
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 × 41 × 97,561
Distinct prime factors241, 97,561
Number of divisors4
Sum of divisors σ(n)4,097,604
SquarefreeYesno repeated prime factor
All divisors1, 41, 97,561, 4,000,0014 in total
Arithmetic
Previous number-4,000,002
Next number-4,000,000
Double-8,000,002
Half-2,000,000.5
Square16,000,008,000,001
Cube-64,000,048,000,012,000,001
Cube root-158.740118425≈
Negation4,000,001
Reciprocal-2.49999938 × 10^-7≈
Representations
Decimal-4,000,001
Binary111101000010010000000122 bits
Octal17204401
Hexadecimal3D0901
Base 362DQF5
In wordsminus four million and one
Ordinalminus four million and first
Scientific notation-4.000001 × 10^6
Engineering notation-4.000001 × 10^6
In other bases
Ternary21112012222012base 3; the most digit-efficient integer base after e: 14 digits
Quinary2011000001base 5; one hand: 10 digits
Septenary45666545base 7: 8 digits
Nonary7465865base 9; each digit is two ternary digits: 7 digits
Duodecimal140a995base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 7 digits
Vigesimal150001base 20; hands and feet, and the Mayan and Yoruba systems: 6 digits
Sexagesimal18:31:6:41base 60; Babylonian, and still how an hour and a circle are divided: 4 digits
Balanced ternaryT01111T10001T11digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110001110000101100000011base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
11111111110000101111011011111111
Bit length22 bitsto write the magnitude
Set bits8the population count, or Hamming weight
Zero bits14within that length
Bit parityeven8 set bits, so even; not the same as the number itself being odd
Highest set bitbit 21worth 2,097,152
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes33d 09 01
Gray code1000111000110110000001n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit11111111110000101111011011111111two's complement
64-bit1111111111111111111111111111111111111111110000101111011011111111two's complement
One's complement00000000001111010000100100000000at 32 bits, every bit flipped
Bits reversed11111111011011110100001111111111at 32 bits
Rotated left by 111111111100001011110110111111111at 32 bits, wrapping
Shifted left by 1-11110100001001000000010= -8,000,002, no wrap
Shifted right by 1-111101000010010000001= -2,000,000, discarding the low bit
These bits as a double1.97626308 × 10^-317≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-4,000,001 to the power 216,000,008,000,001
-4,000,001 to the power 3-64,000,048,000,012,000,001
-4,000,001 to the power 4256,000,256,000,096,000,016,000,001
-4,000,001 to the power 5-1,024,001,280,000,640,000,160,000,020,000,001
First ten multiples-4,000,001, -8,000,002, -12,000,003, -16,000,004, -20,000,005, -24,000,006, -28,000,007, -32,000,008, -36,000,009, -40,000,010
Powers of twoBetween 2^21 (2,097,152) and 2^22 (4,194,304)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 2
Divisible by 4No, remainder 1
Divisible by 5No, remainder 1
Divisible by 6No, remainder 5
Divisible by 7No, remainder 5
Divisible by 8No, remainder 1
Divisible by 9No, remainder 5
Divisible by 10No, remainder 1
Divisible by 11No, remainder 5
Divisible by 12No, remainder 5
Divisible by 100No, remainder 1
As a percentage & fraction
As a percentage-400,000,100%
-4,000,001% as a decimal-40,000.01
-4,000,001% of 100-4,000,001
-4,000,001% of 1,000-40,000,010
As a fraction of 100-4,000,001/100
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