Recognised as Number

1,989,990

Positive
Even
Composite
7 digits

1,989,990 is an even 7-digit integer and a composite number. It has 24 divisors and a digital root of 9.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value1,989,990

Digit count7

Digit sum45

Digit product0zero, because one of the digits is zero

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

Digital root9repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberYesdivisible by its own digit sum

Factors & divisors

Prime factorisation2 × 3^2 × 5 × 22,111

Distinct prime factors42, 3, 5, 22,111

Number of divisors24

Sum of divisors σ(n)5,174,208

Aliquot sum3,184,218sum of the proper divisors

ClassificationAbundantthe aliquot sum exceeds the number

Euler's totient φ(n)530,640integers below n that share no factor with it

Carmichael function λ(n)44,220the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 530,640

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

SquarefreeNohas a repeated prime factor

All divisors1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 22,111, 44,222, 66,333, 110,555, 132,666, 198,999, 221,110, 331,665, 397,998, 663,330, 994,995, 1,989,99024 in total

Arithmetic

Previous number1,989,989

Next number1,989,991

Double3,979,980

Half994,995

Square3,960,060,200,100

Cube7,880,480,197,596,999,000

Square root1,410.670053556≈irrational, shown to 9 decimal places

Cube root125.781556504≈

Negation-1,989,990

Reciprocal5.02515088 × 10^-7≈

Representations

Decimal1,989,990

Binary11110010111010110011021 bits

Octal7456546

Hexadecimal1E5D66

Base 3616NHI

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

In wordsone million, nine hundred and eighty-nine thousand, nine hundred and ninety

Ordinalone million, nine hundred and eighty-nine thousand, nine hundred and ninetieth

Scientific notation1.98999 × 10^6

Engineering notation1.98999 × 10^6

In other bases

Ternary10202002202100base 3; the most digit-efficient integer base after e: 14 digits

Quinary1002134430base 5; one hand: 10 digits

Septenary22625502base 7: 8 digits

Nonary3662670base 9; each digit is two ternary digits: 7 digits

Duodecimal7bb746base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits

Vigesimalc8ejabase 20; hands and feet, and the Mayan and Yoruba systems: 5 digits

Sexagesimal9:12:46:30base 60; Babylonian, and still how an hour and a circle are divided: 4 digits

Balanced ternary11T1T010T1T100digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary11000111010001010111010base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

00000000000111100101110101100110

Bit length21 bitsto write the magnitude

Set bits13the population count, or Hamming weight

Zero bits8within that length

Bit parityodd13 set bits, so odd; 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

Bytes31e 5d 66

Gray code100010111001111010101n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

32-bit00000000000111100101110101100110

64-bit0000000000000000000000000000000000000000000111100101110101100110

One's complement11111111111000011010001010011001at 32 bits, every bit flipped

Bits reversed01100110101110100111100000000000at 32 bits

Rotated left by 100000000001111001011101011001100at 32 bits, wrapping

Shifted left by 11111001011101011001100= 3,979,980, no wrap

Shifted right by 111110010111010110011= 994,995, discarding the low bit

These bits as a double9.83185695 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime1,990,007+17

Previous prime1,989,989−1

Distance to nearest prime1

Nearest square below1,988,100

Nearest square above1,990,921

Powers & multiples

1,989,990 to the power 23,960,060,200,100

1,989,990 to the power 37,880,480,197,596,999,000

1,989,990 to the power 415,682,076,788,416,052,040,010,000

1,989,990 to the power 531,207,175,988,180,059,399,099,499,900,000

First ten multiples1,989,990, 3,979,980, 5,969,970, 7,959,960, 9,949,950, 11,939,940, 13,929,930, 15,919,920, 17,909,910, 19,899,900

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 5Yes

Divisible by 6Yes

Divisible by 7No, remainder 2

Divisible by 8No, remainder 6

Divisible by 9Yes

Divisible by 10Yes

Divisible by 11No, remainder 2

Divisible by 12No, remainder 6

Divisible by 100No, remainder 90

Collatz (3n + 1) trajectory

Steps to reach 1122the total stopping time

Highest value reached4,477,4802× the starting value

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

First steps1,989,990 → 994,995 → 2,984,986 → 1,492,493 → 4,477,480 → 2,238,740 → 1,119,370 → 559,685 → 1,679,056 → 839,528 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage198,999,000%

1,989,990% as a decimal19,899.9

1,989,990% of 1001,989,990

1,989,990% of 1,00019,899,900

As a fraction of 1001,989,990/100

Read another way

As seconds23 days, 46 minutes and 30 seconds

As bytes1.898 MiB

As a 24-bit colour#1E5D66

Keep nerding

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