Recognised as Number

1,004,802

Positive
Even
Composite
7 digits

1,004,802 is an even 7-digit integer and a composite number. It has 16 divisors and a digital root of 6.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value1,004,802

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 numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation2 × 3 × 17 × 9,851

Distinct prime factors42, 3, 17, 9,851

Number of divisors16

Sum of divisors σ(n)2,128,032

Aliquot sum1,123,230sum of the proper divisors

ClassificationAbundantthe aliquot sum exceeds the number

Euler's totient φ(n)315,200integers below n that share no factor with it

Carmichael function λ(n)78,800the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 315,200

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

SquarefreeYesno repeated prime factor

All divisors1, 2, 3, 6, 17, 34, 51, 102, 9,851, 19,702, 29,553, 59,106, 167,467, 334,934, 502,401, 1,004,80216 in total

Arithmetic

Previous number1,004,801

Next number1,004,803

Double2,009,604

Half502,401

Square1,009,627,059,204

Cube1,014,475,288,342,297,608

Square root1,002.398124499≈irrational, shown to 9 decimal places

Cube root100.159811135≈

Negation-1,004,802

Reciprocal9.95220949 × 10^-7≈

Representations

Decimal1,004,802

Binary1111010101010000001020 bits

Octal3652402

HexadecimalF5502

Base 36LJB6

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

In wordsone million, four thousand, eight hundred and two

Ordinalone million, four thousand, eight hundred and second

Scientific notation1.004802 × 10^6

Engineering notation1.004802 × 10^6

In other bases

Ternary1220001022220base 3; the most digit-efficient integer base after e: 13 digits

Quinary224123202base 5; one hand: 9 digits

Septenary11353311base 7: 8 digits

Nonary1801286base 9; each digit is two ternary digits: 7 digits

Duodecimal405596base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits

Vigesimal65c02base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits

Sexagesimal4:39:6:42base 60; Babylonian, and still how an hour and a circle are divided: 4 digits

Balanced ternary1T0T00011000T0digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary100110101010100000110base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

00000000000011110101010100000010

Bit length20 bitsto write the magnitude

Set bits9the population count, or Hamming weight

Zero bits11within that length

Bit parityodd9 set bits, so odd; not the same as the number itself being even

Highest set bitbit 19worth 524,288

Lowest set bitbit 11 trailing zero

Power of twoNo

Bytes30f 55 02

Gray code10001111111110000011n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

32-bit00000000000011110101010100000010

64-bit0000000000000000000000000000000000000000000011110101010100000010

One's complement11111111111100001010101011111101at 32 bits, every bit flipped

Bits reversed01000000101010101111000000000000at 32 bits

Rotated left by 100000000000111101010101000000100at 32 bits, wrapping

Shifted left by 1111101010101000000100= 2,009,604, no wrap

Shifted right by 11111010101010000001= 502,401, discarding the low bit

These bits as a double4.96438149 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime1,004,873+71

Previous prime1,004,797−5

Distance to nearest prime5

Nearest square below1,004,004

Nearest square above1,006,009

Powers & multiples

1,004,802 to the power 21,009,627,059,204

1,004,802 to the power 31,014,475,288,342,297,608

1,004,802 to the power 41,019,346,798,676,917,321,113,616

1,004,802 to the power 51,024,241,702,004,163,878,089,603,584,032

First ten multiples1,004,802, 2,009,604, 3,014,406, 4,019,208, 5,024,010, 6,028,812, 7,033,614, 8,038,416, 9,043,218, 10,048,020

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

Divisibility tests

Divisible by 2Yes

Divisible by 3Yes

Divisible by 4No, remainder 2

Divisible by 5No, remainder 2

Divisible by 6Yes

Divisible by 7No, remainder 1

Divisible by 8No, remainder 2

Divisible by 9No, remainder 6

Divisible by 10No, remainder 2

Divisible by 11No, remainder 7

Divisible by 12No, remainder 6

Divisible by 100No, remainder 2

Collatz (3n + 1) trajectory

Steps to reach 1258the total stopping time

Highest value reached3,621,4003× the starting value

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

First steps1,004,802 → 502,401 → 1,507,204 → 753,602 → 376,801 → 1,130,404 → 565,202 → 282,601 → 847,804 → 423,902 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage100,480,200%

1,004,802% as a decimal10,048.02

1,004,802% of 1001,004,802

1,004,802% of 1,00010,048,020

As a fraction of 1001,004,802/100

Read another way

As seconds11 days, 15 hours and 6 minutes

As bytes981.252 KiB

As a 24-bit colour#0F5502

Keep nerding

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