Recognised as Number
-1,742
- Negative
- Even
- 4 digits
-1,742 is an even 4-digit integer and the negative of 1,742. It has 8 divisors and a digital root of 5.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value1,742
Digit count4
Digit sum14
Digit product56
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root5repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2 × 13 × 67
Distinct prime factors32, 13, 67
Number of divisors8
Sum of divisors σ(n)2,856
SquarefreeYesno repeated prime factor
All divisors1, 2, 13, 26, 67, 134, 871, 1,7428 in total
Arithmetic
Representations
Decimal-1,742
Binary1101100111011 bits
Octal3316
Hexadecimal6CE
Base 361CE
In wordsminus one thousand, seven hundred and forty-two
Ordinalminus one thousand, seven hundred and forty-second
Scientific notation-1.742 × 10^3
Engineering notation-1.742 × 10^3
In other bases
Ternary2101112base 3; the most digit-efficient integer base after e: 7 digits
Quinary23432base 5; one hand: 5 digits
Septenary5036base 7: 4 digits
Nonary2345base 9; each digit is two ternary digits: 4 digits
Duodecimal1012base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimal472base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal29:2base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT1TT1111digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary100101110110base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111100100110010
Bit length11 bitsto write the magnitude
Set bits7the population count, or Hamming weight
Zero bits4within that length
Bit parityodd7 set bits, so odd; not the same as the number itself being even
Highest set bitbit 10worth 1,024
Lowest set bitbit 11 trailing zero
Power of twoNo
Bytes206 ce
Gray code10110101001n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111100100110010two's complement
32-bit11111111111111111111100100110010two's complement
64-bit1111111111111111111111111111111111111111111111111111100100110010two's complement
One's complement0000011011001101at 16 bits, every bit flipped
Bits reversed0100110010011111at 16 bits
Rotated left by 11111001001100101at 16 bits, wrapping
Shifted left by 1-110110011100= -3,484, no wrap
Shifted right by 1-1101100111= -871, discarding the low bit
These bits as a double8.60662355 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-1,742 to the power 23,034,564
-1,742 to the power 3-5,286,210,488
-1,742 to the power 49,208,578,670,096
-1,742 to the power 5-16,041,344,043,307,232
First ten multiples-1,742, -3,484, -5,226, -6,968, -8,710, -10,452, -12,194, -13,936, -15,678, -17,420
Powers of twoBetween 2^10 (1,024) and 2^11 (2,048)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 2
Divisible by 4No, remainder 2
Divisible by 5No, remainder 2
Divisible by 6No, remainder 2
Divisible by 7No, remainder 6
Divisible by 8No, remainder 6
Divisible by 9No, remainder 5
Divisible by 10No, remainder 2
Divisible by 11No, remainder 4
Divisible by 12No, remainder 2
Divisible by 100No, remainder 42
As a percentage & fraction
As a percentage-174,200%
-1,742% as a decimal-17.42
-1,742% of 100-1,742
-1,742% of 1,000-17,420
As a fraction of 100-1,742/100
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