Recognised as Number

1,398,018

Positive
Even
Composite
7 digits

1,398,018 is an even 7-digit integer and a composite number. It has 16 divisors and a digital root of 3.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value1,398,018

Digit count7

Digit sum30

Digit product0zero, because one of the digits is zero

Multiplicative persistence1times the digit product can be taken before one digit is left

Digital root3repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation2 × 3 × 41 × 5,683

Distinct prime factors42, 3, 41, 5,683

Number of divisors16

Sum of divisors σ(n)2,864,736

Aliquot sum1,466,718sum of the proper divisors

ClassificationAbundantthe aliquot sum exceeds the number

Euler's totient φ(n)454,560integers below n that share no factor with it

Carmichael function λ(n)113,640the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 454,560

Möbius function μ(n)+14 distinct prime factors, an even number of them

SquarefreeYesno repeated prime factor

All divisors1, 2, 3, 6, 41, 82, 123, 246, 5,683, 11,366, 17,049, 34,098, 233,003, 466,006, 699,009, 1,398,01816 in total

Arithmetic

Previous number1,398,017

Next number1,398,019

Double2,796,036

Half699,009

Square1,954,454,328,324

Cube2,732,362,331,174,861,832

Square root1,182.378112111≈irrational, shown to 9 decimal places

Cube root111.816077812≈

Negation-1,398,018

Reciprocal7.15298372 × 10^-7≈

Representations

Decimal1,398,018

Binary10101010101010000001021 bits

Octal5252402

Hexadecimal155502

Base 36TYPU

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

In wordsone million, three hundred and ninety-eight thousand and eighteen

Ordinalone million, three hundred and ninety-eight thousand and eighteenth

Scientific notation1.398018 × 10^6

Engineering notation1.398018 × 10^6

In other bases

Ternary2122000201110base 3; the most digit-efficient integer base after e: 13 digits

Quinary324214033base 5; one hand: 9 digits

Septenary14611566base 7: 8 digits

Nonary2560643base 9; each digit is two ternary digits: 7 digits

Duodecimal575056base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits

Vigesimal8ef0ibase 20; hands and feet, and the Mayan and Yoruba systems: 5 digits

Sexagesimal6:28:20:18base 60; Babylonian, and still how an hour and a circle are divided: 4 digits

Balanced ternary10T0T001T01110digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary101010101010100000110base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

00000000000101010101010100000010

Bit length21 bitsto write the magnitude

Set bits8the population count, or Hamming weight

Zero bits13within that length

Bit parityeven8 set bits, so even; not the same as the number itself being even

Highest set bitbit 20worth 1,048,576

Lowest set bitbit 11 trailing zero

Power of twoNo

Bytes315 55 02

Gray code111111111111110000011n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

32-bit00000000000101010101010100000010

64-bit0000000000000000000000000000000000000000000101010101010100000010

One's complement11111111111010101010101011111101at 32 bits, every bit flipped

Bits reversed01000000101010101010100000000000at 32 bits

Rotated left by 100000000001010101010101000000100at 32 bits, wrapping

Shifted left by 11010101010101000000100= 2,796,036, no wrap

Shifted right by 110101010101010000001= 699,009, discarding the low bit

These bits as a double6.90712666 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime1,398,031+13

Previous prime1,398,017−1

Distance to nearest prime1

Nearest square below1,397,124

Nearest square above1,399,489

Powers & multiples

1,398,018 to the power 21,954,454,328,324

1,398,018 to the power 32,732,362,331,174,861,832

1,398,018 to the power 43,819,891,721,504,417,988,648,976

1,398,018 to the power 55,340,277,384,714,163,427,655,064,129,568

First ten multiples1,398,018, 2,796,036, 4,194,054, 5,592,072, 6,990,090, 8,388,108, 9,786,126, 11,184,144, 12,582,162, 13,980,180

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

Divisibility tests

Divisible by 2Yes

Divisible by 3Yes

Divisible by 4No, remainder 2

Divisible by 5No, remainder 3

Divisible by 6Yes

Divisible by 7No, remainder 6

Divisible by 8No, remainder 2

Divisible by 9No, remainder 3

Divisible by 10No, remainder 8

Divisible by 11No, remainder 6

Divisible by 12No, remainder 6

Divisible by 100No, remainder 18

Collatz (3n + 1) trajectory

Steps to reach 1230the total stopping time

Highest value reached5,038,5763× the starting value

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

First steps1,398,018 → 699,009 → 2,097,028 → 1,048,514 → 524,257 → 1,572,772 → 786,386 → 393,193 → 1,179,580 → 589,790 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage139,801,800%

1,398,018% as a decimal13,980.18

1,398,018% of 1001,398,018

1,398,018% of 1,00013,980,180

As a fraction of 1001,398,018/100

Read another way

As seconds16 days, 4 hours and 20 minutes

As bytes1.333 MiB

As a 24-bit colour#155502

Keep nerding

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