Recognised as Number
-2,742
- Negative
- Even
- 4 digits
-2,742 is an even 4-digit integer and the negative of 2,742. It has 8 divisors and a digital root of 6.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value2,742
Digit count4
Digit sum15
Digit product112
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root6repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2 × 3 × 457
Distinct prime factors32, 3, 457
Number of divisors8
Sum of divisors σ(n)5,496
SquarefreeYesno repeated prime factor
All divisors1, 2, 3, 6, 457, 914, 1,371, 2,7428 in total
Arithmetic
Representations
Decimal-2,742
Binary10101011011012 bits
Octal5266
HexadecimalAB6
Base 36246
In wordsminus two thousand, seven hundred and forty-two
Ordinalminus two thousand, seven hundred and forty-second
Scientific notation-2.742 × 10^3
Engineering notation-2.742 × 10^3
In other bases
Ternary10202120base 3; the most digit-efficient integer base after e: 8 digits
Quinary41432base 5; one hand: 5 digits
Septenary10665base 7: 5 digits
Nonary3676base 9; each digit is two ternary digits: 4 digits
Duodecimal1706base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimal6h2base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal45:42base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryTT1T0110digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary11010101011110base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111010101001010
Bit length12 bitsto write the magnitude
Set bits7the population count, or Hamming weight
Zero bits5within that length
Bit parityodd7 set bits, so odd; not the same as the number itself being even
Highest set bitbit 11worth 2,048
Lowest set bitbit 11 trailing zero
Power of twoNo
Bytes20a b6
Gray code111111101101n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111010101001010two's complement
32-bit11111111111111111111010101001010two's complement
64-bit1111111111111111111111111111111111111111111111111111010101001010two's complement
One's complement0000101010110101at 16 bits, every bit flipped
Bits reversed0101001010101111at 16 bits
Rotated left by 11110101010010101at 16 bits, wrapping
Shifted left by 1-1010101101100= -5,484, no wrap
Shifted right by 1-10101011011= -1,371, discarding the low bit
These bits as a double1.354728 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-2,742 to the power 27,518,564
-2,742 to the power 3-20,615,902,488
-2,742 to the power 456,528,804,622,096
-2,742 to the power 5-155,001,982,273,787,232
First ten multiples-2,742, -5,484, -8,226, -10,968, -13,710, -16,452, -19,194, -21,936, -24,678, -27,420
Powers of twoBetween 2^11 (2,048) and 2^12 (4,096)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4No, remainder 2
Divisible by 5No, remainder 2
Divisible by 6Yes
Divisible by 7No, remainder 5
Divisible by 8No, remainder 6
Divisible by 9No, remainder 6
Divisible by 10No, remainder 2
Divisible by 11No, remainder 3
Divisible by 12No, remainder 6
Divisible by 100No, remainder 42
As a percentage & fraction
As a percentage-274,200%
-2,742% as a decimal-27.42
-2,742% of 100-2,742
-2,742% of 1,000-27,420
As a fraction of 100-2,742/100
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