Recognised as Number
-126,001
- Negative
- Odd
- 6 digits
-126,001 is an odd 6-digit integer and the negative of 126,001. It has 2 divisors and a digital root of 1.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value126,001
Digit count6
Digit sum10
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 × 126,001
Distinct prime factors1126,001
Number of divisors2
Sum of divisors σ(n)126,002
SquarefreeYesno repeated prime factor
All divisors1, 126,0012 in total
Arithmetic
Representations
Decimal-126,001
Binary1111011000011000117 bits
Octal366061
Hexadecimal1EC31
Base 362P81
In wordsminus one hundred and twenty-six thousand and one
Ordinalminus one hundred and twenty-six thousand and first
Scientific notation-1.26001 × 10^5
Engineering notation-126.001 × 10^3
In other bases
Ternary20101211201base 3; the most digit-efficient integer base after e: 11 digits
Quinary13013001base 5; one hand: 8 digits
Septenary1033231base 7: 7 digits
Nonary211751base 9; each digit is two ternary digits: 6 digits
Duodecimal60b01base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 5 digits
Vigesimalff01base 20; hands and feet, and the Mayan and Yoruba systems: 4 digits
Sexagesimal35:0:1base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternaryT10TT101110Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary100001010011010011base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
11111111111111100001001111001111
Bit length17 bitsto write the magnitude
Set bits9the population count, or Hamming weight
Zero bits8within that length
Bit parityodd9 set bits, so odd; not the same as the number itself being odd
Highest set bitbit 16worth 65,536
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes301 ec 31
Gray code10001101000101001n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit11111111111111100001001111001111two's complement
64-bit1111111111111111111111111111111111111111111111100001001111001111two's complement
One's complement00000000000000011110110000110000at 32 bits, every bit flipped
Bits reversed11110011110010000111111111111111at 32 bits
Rotated left by 111111111111111000010011110011111at 32 bits, wrapping
Shifted left by 1-111101100001100010= -252,002, no wrap
Shifted right by 1-1111011000011001= -63,000, discarding the low bit
These bits as a double6.22527654 × 10^-319≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-126,001 to the power 215,876,252,001
-126,001 to the power 3-2,000,423,628,378,001
-126,001 to the power 4252,055,377,599,256,504,001
-126,001 to the power 5-31,759,229,632,883,918,760,630,001
First ten multiples-126,001, -252,002, -378,003, -504,004, -630,005, -756,006, -882,007, -1,008,008, -1,134,009, -1,260,010
Powers of twoBetween 2^16 (65,536) and 2^17 (131,072)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 1
Divisible by 4No, remainder 1
Divisible by 5No, remainder 1
Divisible by 6No, remainder 1
Divisible by 7No, remainder 1
Divisible by 8No, remainder 1
Divisible by 9No, remainder 1
Divisible by 10No, remainder 1
Divisible by 11No, remainder 7
Divisible by 12No, remainder 1
Divisible by 100No, remainder 1
As a percentage & fraction
As a percentage-12,600,100%
-126,001% as a decimal-1,260.01
-126,001% of 100-126,001
-126,001% of 1,000-1,260,010
As a fraction of 100-126,001/100
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