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Recognised as Number

-998,001

  • Negative
  • Odd
  • Perfect square
  • 6 digits

-998,001 is an odd 6-digit integer and the negative of 998,001. It has 21 divisors and a digital root of 9.

Number properties

ParityOddnot divisible by 2
SignNegative
Absolute value998,001
Digit count6
Digit sum27
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root9repeated digit sum
PalindromicNoreads differently backwards
Perfect squareYes, 999²

Factors & divisors

Prime factorisation−1 × 3^6 × 37^2
Distinct prime factors23, 37
Number of divisors21
Sum of divisors σ(n)1,537,851
SquarefreeNohas a repeated prime factor
All divisors1, 3, 9, 27, 37, 81, 111, 243, 333, 729, 999, 1,369, 2,997, 4,107, 8,991, 12,321, 26,973, 36,963, 110,889, 332,667, 998,00121 in total

Arithmetic

Previous number-998,002
Next number-998,000
Cube-994,014,980,014,994,001
Cube root-99.933322217≈
Negation998,001
Reciprocal-0.000001002≈

Representations

Decimal-998,001
Binary1111001110100111000120 bits
Octal3635161
HexadecimalF3A71
Base 36LE29
In wordsminus nine hundred and ninety-eight thousand and one
Ordinalminus nine hundred and ninety-eight thousand and first
Scientific notation-9.98001 × 10^5
Engineering notation-998.001 × 10^3

In other bases

Ternary1212201000000base 3; the most digit-efficient integer base after e: 13 digits
Quinary223414001base 5; one hand: 9 digits
Septenary11324424base 7: 8 digits
Nonary1781000base 9; each digit is two ternary digits: 7 digits
Duodecimal401669base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits
Vigesimal64f01base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits
Sexagesimal4:37:13:21base 60; Babylonian, and still how an hour and a circle are divided: 4 digits
Balanced ternaryT101010T000000digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1100011101101010010011base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

11111111111100001100010110001111
Bit length20 bitsto write the magnitude
Set bits12the population count, or Hamming weight
Zero bits8within that length
Bit parityeven12 set bits, so even; 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 3a 71
Gray code10001010011101001001n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

32-bit11111111111100001100010110001111two's complement
64-bit1111111111111111111111111111111111111111111100001100010110001111two's complement
One's complement00000000000011110011101001110000at 32 bits, every bit flipped
Bits reversed11110001101000110000111111111111at 32 bits
Rotated left by 111111111111000011000101100011111at 32 bits, wrapping
Shifted left by 1-111100111010011100010= -1,996,002, no wrap
Shifted right by 1-1111001110100111001= -499,000, discarding the low bit
These bits as a double4.93078009 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime2+998,003
Nearest square below998,001
Nearest square above1,000,000

Powers & multiples

-998,001 to the power 2996,005,996,001
-998,001 to the power 3-994,014,980,014,994,001
-998,001 to the power 4992,027,944,069,944,027,992,001
-998,001 to the power 5-990,044,880,209,748,209,880,044,990,001
First ten multiples-998,001, -1,996,002, -2,994,003, -3,992,004, -4,990,005, -5,988,006, -6,986,007, -7,984,008, -8,982,009, -9,980,010
Powers of twoBetween 2^19 (524,288) and 2^20 (1,048,576)

Divisibility tests

Divisible by 2No, remainder 1
Divisible by 3Yes
Divisible by 4No, remainder 1
Divisible by 5No, remainder 1
Divisible by 6No, remainder 3
Divisible by 7No, remainder 4
Divisible by 8No, remainder 1
Divisible by 9Yes
Divisible by 10No, remainder 1
Divisible by 11No, remainder 4
Divisible by 12No, remainder 9
Divisible by 100No, remainder 1

As a percentage & fraction

As a percentage-99,800,100%
-998,001% as a decimal-9,980.01
-998,001% of 100-998,001
-998,001% of 1,000-9,980,010
As a fraction of 100-998,001/100

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