Recognised as Number

1,398,020

Positive
Even
Composite
7 digits

1,398,020 is an even 7-digit integer and a composite number. It has 48 divisors and a digital root of 5.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value1,398,020

Digit count7

Digit sum23

Digit product0zero, because one of the digits is zero

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

Digital root5repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation2^2 × 5 × 13 × 19 × 283

Distinct prime factors52, 5, 13, 19, 283

Number of divisors48

Sum of divisors σ(n)3,339,840

Aliquot sum1,941,820sum of the proper divisors

ClassificationAbundantthe aliquot sum exceeds the number

Euler's totient φ(n)487,296integers below n that share no factor with it

Carmichael function λ(n)1,692the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 487,296

Möbius function μ(n)0zero, because a prime divides n twice

SquarefreeNohas a repeated prime factor

All divisors1, 2, 4, 5, 10, 13, 19, 20, 26, 38, 52, 65, 76, 95, 130, 190, 247, 260, 283, 380, 494, 566, 988, 1,132, 1,235, 1,415, 2,470, 2,830, 3,679, 4,940, 5,377, 5,660, 7,358, 10,754, 14,716, 18,395, 21,508, 26,885, 36,790, 53,770, 69,901, 73,580, 107,540, 139,802, 279,604, 349,505, 699,010, 1,398,02048 in total

Arithmetic

Previous number1,398,019

Next number1,398,021

Double2,796,040

Half699,010

Square1,954,459,920,400

Cube2,732,374,057,917,608,000

Square root1,182.378957864≈irrational, shown to 9 decimal places

Cube root111.816131133≈

Negation-1,398,020

Reciprocal7.15297349 × 10^-7≈

Representations

Decimal1,398,020

Binary10101010101010000010021 bits

Octal5252404

Hexadecimal155504

Base 36TYPW

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

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

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

Scientific notation1.39802 × 10^6

Engineering notation1.39802 × 10^6

In other bases

Ternary2122000201112base 3; the most digit-efficient integer base after e: 13 digits

Quinary324214040base 5; one hand: 9 digits

Septenary14611601base 7: 8 digits

Nonary2560645base 9; each digit is two ternary digits: 7 digits

Duodecimal575058base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits

Vigesimal8ef10base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits

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

Balanced ternary10T0T001T1TTTTdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary101010101010100000100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

00000000000101010101010100000100

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 22 trailing zeros

Power of twoNo

Bytes315 55 04

Gray code111111111111110000110n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

32-bit00000000000101010101010100000100

64-bit0000000000000000000000000000000000000000000101010101010100000100

One's complement11111111111010101010101011111011at 32 bits, every bit flipped

Bits reversed00100000101010101010100000000000at 32 bits

Rotated left by 100000000001010101010101000001000at 32 bits, wrapping

Shifted left by 11010101010101000001000= 2,796,040, no wrap

Shifted right by 110101010101010000010= 699,010, discarding the low bit

These bits as a double6.90713654 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime1,398,031+11

Previous prime1,398,017−3

Distance to nearest prime3

Nearest square below1,397,124

Nearest square above1,399,489

Powers & multiples

1,398,020 to the power 21,954,459,920,400

1,398,020 to the power 32,732,374,057,917,608,000

1,398,020 to the power 43,819,913,580,449,974,336,160,000

1,398,020 to the power 55,340,315,583,740,673,121,438,403,200,000

First ten multiples1,398,020, 2,796,040, 4,194,060, 5,592,080, 6,990,100, 8,388,120, 9,786,140, 11,184,160, 12,582,180, 13,980,200

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

Divisibility tests

Divisible by 2Yes

Divisible by 3No, remainder 2

Divisible by 4Yes

Divisible by 5Yes

Divisible by 6No, remainder 2

Divisible by 7No, remainder 1

Divisible by 8No, remainder 4

Divisible by 9No, remainder 5

Divisible by 10Yes

Divisible by 11No, remainder 8

Divisible by 12No, remainder 8

Divisible by 100No, remainder 20

Collatz (3n + 1) trajectory

Steps to reach 1168the total stopping time

Highest value reached6,810,1364× the starting value

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

First steps1,398,020 → 699,010 → 349,505 → 1,048,516 → 524,258 → 262,129 → 786,388 → 393,194 → 196,597 → 589,792 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage139,802,000%

1,398,020% as a decimal13,980.2

1,398,020% of 1001,398,020

1,398,020% of 1,00013,980,200

As a fraction of 1001,398,020/100

Read another way

As seconds16 days, 4 hours and 20 minutes

As bytes1.333 MiB

As a 24-bit colour#155504

Keep nerding

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