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Recognised as Number

-998,002

  • Negative
  • Even
  • 6 digits

-998,002 is an even 6-digit integer and the negative of 998,002. It has 16 divisors and a digital root of 1.

Number properties

ParityEvendivisible by 2
SignNegative
Absolute value998,002
Digit count6
Digit sum28
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root1repeated digit sum
PalindromicNoreads differently backwards

Factors & divisors

Prime factorisation−1 × 2 × 17 × 149 × 197
Distinct prime factors42, 17, 149, 197
Number of divisors16
Sum of divisors σ(n)1,603,800
SquarefreeYesno repeated prime factor
All divisors1, 2, 17, 34, 149, 197, 298, 394, 2,533, 3,349, 5,066, 6,698, 29,353, 58,706, 499,001, 998,00216 in total

Arithmetic

Previous number-998,003
Next number-998,001
Cube-994,017,968,035,976,008
Cube root-99.933355595≈
Negation998,002
Reciprocal-0.000001002≈

Representations

Decimal-998,002
Binary1111001110100111001020 bits
Octal3635162
HexadecimalF3A72
Base 36LE2A
In wordsminus nine hundred and ninety-eight thousand and two
Ordinalminus nine hundred and ninety-eight thousand and second
Scientific notation-9.98002 × 10^5
Engineering notation-998.002 × 10^3

In other bases

Ternary1212201000001base 3; the most digit-efficient integer base after e: 13 digits
Quinary223414002base 5; one hand: 9 digits
Septenary11324425base 7: 8 digits
Nonary1781001base 9; each digit is two ternary digits: 7 digits
Duodecimal40166abase 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits
Vigesimal64f02base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits
Sexagesimal4:37:13:22base 60; Babylonian, and still how an hour and a circle are divided: 4 digits
Balanced ternaryT101010T00000Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1100011101101010010010base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

11111111111100001100010110001110
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 even
Highest set bitbit 19worth 524,288
Lowest set bitbit 11 trailing zero
Power of twoNo
Bytes30f 3a 72
Gray code10001010011101001011n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

32-bit11111111111100001100010110001110two's complement
64-bit1111111111111111111111111111111111111111111100001100010110001110two's complement
One's complement00000000000011110011101001110001at 32 bits, every bit flipped
Bits reversed01110001101000110000111111111111at 32 bits
Rotated left by 111111111111000011000101100011101at 32 bits, wrapping
Shifted left by 1-111100111010011100100= -1,996,004, no wrap
Shifted right by 1-1111001110100111001= -499,001, discarding the low bit
These bits as a double4.93078503 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime2+998,004
Nearest square below998,001
Nearest square above1,000,000

Powers & multiples

-998,002 to the power 2996,007,992,004
-998,002 to the power 3-994,017,968,035,976,008
-998,002 to the power 4992,031,920,135,840,127,936,016
-998,002 to the power 5-990,049,840,359,408,719,360,399,840,032
First ten multiples-998,002, -1,996,004, -2,994,006, -3,992,008, -4,990,010, -5,988,012, -6,986,014, -7,984,016, -8,982,018, -9,980,020
Powers of twoBetween 2^19 (524,288) and 2^20 (1,048,576)

Divisibility tests

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

As a percentage & fraction

As a percentage-99,800,200%
-998,002% as a decimal-9,980.02
-998,002% of 100-998,002
-998,002% of 1,000-9,980,020
As a fraction of 100-998,002/100

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