Recognised as Number
-1,421
- Negative
- Odd
- 4 digits
-1,421 is an odd 4-digit integer and the negative of 1,421. It has 6 divisors and a digital root of 8.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value1,421
Digit count4
Digit sum8
Digit product8
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root8repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 7^2 × 29
Distinct prime factors27, 29
Number of divisors6
Sum of divisors σ(n)1,710
SquarefreeNohas a repeated prime factor
All divisors1, 7, 29, 49, 203, 1,4216 in total
Arithmetic
Representations
Decimal-1,421
Binary1011000110111 bits
Octal2615
Hexadecimal58D
Base 3613H
In wordsminus one thousand, four hundred and twenty-one
Ordinalminus one thousand, four hundred and twenty-first
Scientific notation-1.421 × 10^3
Engineering notation-1.421 × 10^3
In other bases
Ternary1221122base 3; the most digit-efficient integer base after e: 7 digits
Quinary21141base 5; one hand: 5 digits
Septenary4100base 7: 4 digits
Nonary1848base 9; each digit is two ternary digits: 4 digits
Duodecimal9a5base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal3b1base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal23:41base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT1001101digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary111110110111base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111101001110011
Bit length11 bitsto write the magnitude
Set bits6the population count, or Hamming weight
Zero bits5within that length
Bit parityeven6 set bits, so even; not the same as the number itself being odd
Highest set bitbit 10worth 1,024
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes205 8d
Gray code11101001011n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111101001110011two's complement
32-bit11111111111111111111101001110011two's complement
64-bit1111111111111111111111111111111111111111111111111111101001110011two's complement
One's complement0000010110001100at 16 bits, every bit flipped
Bits reversed1100111001011111at 16 bits
Rotated left by 11111010011100111at 16 bits, wrapping
Shifted left by 1-101100011010= -2,842, no wrap
Shifted right by 1-1011000111= -710, discarding the low bit
These bits as a double7.02067283 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-1,421 to the power 22,019,241
-1,421 to the power 3-2,869,341,461
-1,421 to the power 44,077,334,216,081
-1,421 to the power 5-5,793,891,921,051,101
First ten multiples-1,421, -2,842, -4,263, -5,684, -7,105, -8,526, -9,947, -11,368, -12,789, -14,210
Powers of twoBetween 2^10 (1,024) and 2^11 (2,048)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 2
Divisible by 4No, remainder 1
Divisible by 5No, remainder 1
Divisible by 6No, remainder 5
Divisible by 7Yes
Divisible by 8No, remainder 5
Divisible by 9No, remainder 8
Divisible by 10No, remainder 1
Divisible by 11No, remainder 2
Divisible by 12No, remainder 5
Divisible by 100No, remainder 21
As a percentage & fraction
As a percentage-142,100%
-1,421% as a decimal-14.21
-1,421% of 100-1,421
-1,421% of 1,000-14,210
As a fraction of 100-1,421/100
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