Recognised as Number
-3,672
- Negative
- Even
- 4 digits
-3,672 is an even 4-digit integer and the negative of 3,672. It has 32 divisors and a digital root of 9.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value3,672
Digit count4
Digit sum18
Digit product252
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root9repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2^3 × 3^3 × 17
Distinct prime factors32, 3, 17
Number of divisors32
Sum of divisors σ(n)10,800
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 27, 34, 36, 51, 54, 68, 72, 102, 108, 136, 153, 204, 216, 306, 408, 459, 612, 918, 1,224, 1,836, 3,67232 in total
Arithmetic
Previous number-3,673
Next number-3,671
Double-7,344
Half-1,836
Square13,483,584
Cube-49,511,720,448
Cube root-15.427689544≈
Negation3,672
Reciprocal-0.0002723312≈
Representations
Decimal-3,672
Binary11100101100012 bits
Octal7130
HexadecimalE58
Base 362U0
In wordsminus three thousand, six hundred and seventy-two
Ordinalminus three thousand, six hundred and seventy-second
Scientific notation-3.672 × 10^3
Engineering notation-3.672 × 10^3
In other bases
Ternary12001000base 3; the most digit-efficient integer base after e: 8 digits
Quinary104142base 5; one hand: 6 digits
Septenary13464base 7: 5 digits
Nonary5030base 9; each digit is two ternary digits: 4 digits
Duodecimal2160base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimal93cbase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal1:1:12base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternaryT1100T000digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary11011011111000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111000110101000
Bit length12 bitsto write the magnitude
Set bits6the population count, or Hamming weight
Zero bits6within that length
Bit parityeven6 set bits, so even; not the same as the number itself being even
Highest set bitbit 11worth 2,048
Lowest set bitbit 33 trailing zeros
Power of twoNo
Bytes20e 58
Gray code100101110100n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111000110101000two's complement
32-bit11111111111111111111000110101000two's complement
64-bit1111111111111111111111111111111111111111111111111111000110101000two's complement
One's complement0000111001010111at 16 bits, every bit flipped
Bits reversed0001010110001111at 16 bits
Rotated left by 11110001101010001at 16 bits, wrapping
Shifted left by 1-1110010110000= -7,344, no wrap
Shifted right by 1-11100101100= -1,836, discarding the low bit
These bits as a double1.81420905 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-3,672 to the power 213,483,584
-3,672 to the power 3-49,511,720,448
-3,672 to the power 4181,807,037,485,056
-3,672 to the power 5-667,595,441,645,125,632
First ten multiples-3,672, -7,344, -11,016, -14,688, -18,360, -22,032, -25,704, -29,376, -33,048, -36,720
Powers of twoBetween 2^11 (2,048) and 2^12 (4,096)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4Yes
Divisible by 5No, remainder 2
Divisible by 6Yes
Divisible by 7No, remainder 4
Divisible by 8Yes
Divisible by 9Yes
Divisible by 10No, remainder 2
Divisible by 11No, remainder 9
Divisible by 12Yes
Divisible by 100No, remainder 72
As a percentage & fraction
As a percentage-367,200%
-3,672% as a decimal-36.72
-3,672% of 100-3,672
-3,672% of 1,000-36,720
As a fraction of 100-3,672/100
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Derived from -3,672
Nerdulate something else
Nothing in mind? Surprise me · today’s page