Recognised as Number

1,002,840

Positive
Even
Composite
7 digits

1,002,840 is an even 7-digit integer and a composite number. It has 64 divisors and a digital root of 6.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value1,002,840

Digit count7

Digit sum15

Digit product0zero, because one of the digits is zero

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

Digital root6repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberYesdivisible by its own digit sum

Factors & divisors

Prime factorisation2^3 × 3 × 5 × 61 × 137

Distinct prime factors52, 3, 5, 61, 137

Number of divisors64

Sum of divisors σ(n)3,080,160

Aliquot sum2,077,320sum of the proper divisors

ClassificationAbundantthe aliquot sum exceeds the number

Euler's totient φ(n)261,120integers below n that share no factor with it

Carmichael function λ(n)2,040the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 261,120

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

SquarefreeNohas a repeated prime factor

All divisors1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 61, 120, 122, 137, 183, 244, 274, 305, 366, 411, 488, 548, 610, 685, 732, 822, 915, 1,096, 1,220, 1,370, 1,464, 1,644, 1,830, 2,055, 2,440, 2,740, 3,288, 3,660, 4,110, 5,480, 7,320, 8,220, 8,357, 16,440, 16,714, 25,071, 33,428, 41,785, 50,142, 66,856, 83,570, 100,284, 125,355, 167,140, 200,568, 250,710, 334,280, 501,420, 1,002,84064 in total

Arithmetic

Previous number1,002,839

Next number1,002,841

Double2,005,680

Half501,420

Square1,005,688,065,600

Cube1,008,544,219,706,304,000

Square root1,001.418993229≈irrational, shown to 9 decimal places

Cube root100.09457719≈

Negation-1,002,840

Reciprocal9.97168043 × 10^-7≈

Representations

Decimal1,002,840

Binary1111010011010101100020 bits

Octal3646530

HexadecimalF4D58

Base 36LHSO

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

In wordsone million, two thousand, eight hundred and forty

Ordinalone million, two thousand, eight hundred and fortieth

Scientific notation1.00284 × 10^6

Engineering notation1.00284 × 10^6

In other bases

Ternary1212221122020base 3; the most digit-efficient integer base after e: 13 digits

Quinary224042330base 5; one hand: 9 digits

Septenary11344506base 7: 8 digits

Nonary1787566base 9; each digit is two ternary digits: 7 digits

Duodecimal404420base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits

Vigesimal65720base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits

Sexagesimal4:38:34:0base 60; Babylonian, and still how an hour and a circle are divided: 4 digits

Balanced ternary1T0T000TT0T1T0digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary100110101001010101000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

00000000000011110100110101011000

Bit length20 bitsto write the magnitude

Set bits11the population count, or Hamming weight

Zero bits9within that length

Bit parityodd11 set bits, so odd; not the same as the number itself being even

Highest set bitbit 19worth 524,288

Lowest set bitbit 33 trailing zeros

Power of twoNo

Bytes30f 4d 58

Gray code10001110101111110100n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

32-bit00000000000011110100110101011000

64-bit0000000000000000000000000000000000000000000011110100110101011000

One's complement11111111111100001011001010100111at 32 bits, every bit flipped

Bits reversed00011010101100101111000000000000at 32 bits

Rotated left by 100000000000111101001101010110000at 32 bits, wrapping

Shifted left by 1111101001101010110000= 2,005,680, no wrap

Shifted right by 11111010011010101100= 501,420, discarding the low bit

These bits as a double4.95468792 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime1,002,851+11

Previous prime1,002,821−19

Distance to nearest prime11

Nearest square below1,002,001

Nearest square above1,004,004

Powers & multiples

1,002,840 to the power 21,005,688,065,600

1,002,840 to the power 31,008,544,219,706,304,000

1,002,840 to the power 41,011,408,485,290,269,903,360,000

1,002,840 to the power 51,014,280,885,388,494,269,885,542,400,000

First ten multiples1,002,840, 2,005,680, 3,008,520, 4,011,360, 5,014,200, 6,017,040, 7,019,880, 8,022,720, 9,025,560, 10,028,400

Powers of twoBetween 2^19 (524,288) and 2^20 (1,048,576)

Divisibility tests

Divisible by 2Yes

Divisible by 3Yes

Divisible by 4Yes

Divisible by 5Yes

Divisible by 6Yes

Divisible by 7No, remainder 6

Divisible by 8Yes

Divisible by 9No, remainder 6

Divisible by 10Yes

Divisible by 11No, remainder 3

Divisible by 12Yes

Divisible by 100No, remainder 40

Collatz (3n + 1) trajectory

Steps to reach 1113the total stopping time

Highest value reached1,373,9201× the starting value

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

First steps1,002,840 → 501,420 → 250,710 → 125,355 → 376,066 → 188,033 → 564,100 → 282,050 → 141,025 → 423,076 → …

Last steps… → 32 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage100,284,000%

1,002,840% as a decimal10,028.4

1,002,840% of 1001,002,840

1,002,840% of 1,00010,028,400

As a fraction of 1001,002,840/100

Read another way

As seconds11 days, 14 hours and 34 minutes

As bytes979.336 KiB

As a 24-bit colour#0F4D58

Keep nerding

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