Recognised as Number

1,327,987

Positive
Odd
Prime
7 digits

1,327,987 is an odd 7-digit integer and a prime number. It has 2 divisors and a digital root of 1.

Number properties

ParityOddnot divisible by 2

SignPositive

PrimalityPrime

Absolute value1,327,987

Digit count7

Digit sum37

Digit product21,168

Multiplicative persistence5times the digit product can be taken before one digit is left

Digital root1repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation1,327,987

Distinct prime factors11,327,987

Number of divisors2

Sum of divisors σ(n)1,327,988

Aliquot sum1sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)1,327,986integers below n that share no factor with it

Carmichael function λ(n)1,327,986the smallest exponent with aˣ ≡ 1 for every unit coprime to n

Möbius function μ(n)−11 distinct prime factor, an odd number of them

SquarefreeYesno repeated prime factor

All divisors1, 1,327,9872 in total

Arithmetic

Previous number1,327,986

Next number1,327,988

Double2,655,974

Half663,993.5

Square1,763,549,472,169

Cube2,341,970,772,897,293,803

Square root1,152.3831828≈irrational, shown to 9 decimal places

Cube root109.916934535≈

Negation-1,327,987

Reciprocal7.5301942 × 10^-7≈

Representations

Decimal1,327,987

Binary10100010000110111001121 bits

Octal5041563

Hexadecimal144373

Base 36SGOJ

Roman numeralNot defined above 3,999there is no agreed standard notation

In wordsone million, three hundred and twenty-seven thousand, nine hundred and eighty-seven

Ordinalone million, three hundred and twenty-seven thousand, nine hundred and eighty-seventh

Scientific notation1.327987 × 10^6

Engineering notation1.327987 × 10^6

In other bases

Ternary2111110122201base 3; the most digit-efficient integer base after e: 13 digits

Quinary314443422base 5; one hand: 9 digits

Septenary14200453base 7: 8 digits

Nonary2443581base 9; each digit is two ternary digits: 7 digits

Duodecimal540617base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits

Vigesimal85jj7base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits

Sexagesimal6:8:53:7base 60; Babylonian, and still how an hour and a circle are divided: 4 digits

Balanced ternary1T111111T00T01digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary101000100010010110111base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

00000000000101000100001101110011

Bit length21 bitsto write the magnitude

Set bits10the population count, or Hamming weight

Zero bits11within that length

Bit parityeven10 set bits, so even; not the same as the number itself being odd

Highest set bitbit 20worth 1,048,576

Lowest set bitbit 00 trailing zeros

Power of twoNo

Bytes314 43 73

Gray code111100110001011001010n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

32-bit00000000000101000100001101110011

64-bit0000000000000000000000000000000000000000000101000100001101110011

One's complement11111111111010111011110010001100at 32 bits, every bit flipped

Bits reversed11001110110000100010100000000000at 32 bits

Rotated left by 100000000001010001000011011100110at 32 bits, wrapping

Shifted left by 11010001000011011100110= 2,655,974, no wrap

Shifted right by 110100010000110111001= 663,993, discarding the low bit

These bits as a double6.56112755 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime1,327,999+12

Previous prime1,327,973−14

Distance to nearest prime0, it is prime

Nearest square below1,327,104

Nearest square above1,329,409

Powers & multiples

1,327,987 to the power 21,763,549,472,169

1,327,987 to the power 32,341,970,772,897,293,803

1,327,987 to the power 43,110,106,740,787,558,505,564,561

1,327,987 to the power 54,130,181,320,378,247,457,129,164,668,707

First ten multiples1,327,987, 2,655,974, 3,983,961, 5,311,948, 6,639,935, 7,967,922, 9,295,909, 10,623,896, 11,951,883, 13,279,870

Powers of twoBetween 2^20 (1,048,576) and 2^21 (2,097,152)

Divisibility tests

Divisible by 2No, remainder 1

Divisible by 3No, remainder 1

Divisible by 4No, remainder 3

Divisible by 5No, remainder 2

Divisible by 6No, remainder 1

Divisible by 7No, remainder 3

Divisible by 8No, remainder 3

Divisible by 9No, remainder 1

Divisible by 10No, remainder 7

Divisible by 11No, remainder 1

Divisible by 12No, remainder 7

Divisible by 100No, remainder 87

Collatz (3n + 1) trajectory

Steps to reach 167the total stopping time

Highest value reached5,975,9444× the starting value

Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven

First steps1,327,987 → 3,983,962 → 1,991,981 → 5,975,944 → 2,987,972 → 1,493,986 → 746,993 → 2,240,980 → 1,120,490 → 560,245 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage132,798,700%

1,327,987% as a decimal13,279.87

1,327,987% of 1001,327,987

1,327,987% of 1,00013,279,870

As a fraction of 1001,327,987/100

Read another way

As seconds15 days, 8 hours and 53 minutes

As bytes1.266 MiB

As a 24-bit colour#144373

Keep nerding

Every link below is a page Nerdulator can generate from what it already knows about this value.