Recognised as Number

3,442,004

Positive
Even
Composite
7 digits

3,442,004 is an even 7-digit integer and a composite number. It has 6 divisors and a digital root of 8.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value3,442,004

Digit count7

Digit sum17

Digit product0zero, because one of the digits is zero

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

Digital root8repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation2^2 × 860,501

Distinct prime factors22, 860,501

Number of divisors6

Sum of divisors σ(n)6,023,514

Aliquot sum2,581,510sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)1,721,000integers below n that share no factor with it

Carmichael function λ(n)860,500the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 1,721,000

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

SquarefreeNohas a repeated prime factor

All divisors1, 2, 4, 860,501, 1,721,002, 3,442,0046 in total

Arithmetic

Previous number3,442,003

Next number3,442,005

Double6,884,008

Half1,721,002

Square11,847,391,536,016

Cube40,778,769,056,533,216,064

Square root1,855.263862635≈irrational, shown to 9 decimal places

Cube root150.986154308≈

Negation-3,442,004

Reciprocal2.90528425 × 10^-7≈

Representations

Decimal3,442,004

Binary110100100001010101010022 bits

Octal15102524

Hexadecimal348554

Base 3621RV8

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

In wordsthree million, four hundred and forty-two thousand and four

Ordinalthree million, four hundred and forty-two thousand and fourth

Scientific notation3.442004 × 10^6

Engineering notation3.442004 × 10^6

In other bases

Ternary20110212112122base 3; the most digit-efficient integer base after e: 14 digits

Quinary1340121004base 5; one hand: 10 digits

Septenary41153666base 7: 8 digits

Nonary6425478base 9; each digit is two ternary digits: 7 digits

Duodecimal119ba98base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 7 digits

Vigesimal11a504base 20; hands and feet, and the Mayan and Yoruba systems: 6 digits

Sexagesimal15:56:6:44base 60; Babylonian, and still how an hour and a circle are divided: 4 digits

Balanced ternary1T01110T0TT0T0Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary11101011000010101010100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

00000000001101001000010101010100

Bit length22 bitsto write the magnitude

Set bits9the population count, or Hamming weight

Zero bits13within that length

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

Highest set bitbit 21worth 2,097,152

Lowest set bitbit 22 trailing zeros

Power of twoNo

Bytes334 85 54

Gray code1011101100011111111110n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

32-bit00000000001101001000010101010100

64-bit0000000000000000000000000000000000000000001101001000010101010100

One's complement11111111110010110111101010101011at 32 bits, every bit flipped

Bits reversed00101010101000010010110000000000at 32 bits

Rotated left by 100000000011010010000101010101000at 32 bits, wrapping

Shifted left by 111010010000101010101000= 6,884,008, no wrap

Shifted right by 1110100100001010101010= 1,721,002, discarding the low bit

These bits as a double1.70057593 × 10^-317≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime3,442,027+23

Previous prime3,441,989−15

Distance to nearest prime15

Nearest square below3,441,025

Nearest square above3,444,736

Powers & multiples

3,442,004 to the power 211,847,391,536,016

3,442,004 to the power 340,778,769,056,533,216,064

3,442,004 to the power 4140,360,686,207,663,555,825,152,256

3,442,004 to the power 5483,122,043,369,522,789,804,397,365,761,024

First ten multiples3,442,004, 6,884,008, 10,326,012, 13,768,016, 17,210,020, 20,652,024, 24,094,028, 27,536,032, 30,978,036, 34,420,040

Powers of twoBetween 2^21 (2,097,152) and 2^22 (4,194,304)

Divisibility tests

Divisible by 2Yes

Divisible by 3No, remainder 2

Divisible by 4Yes

Divisible by 5No, remainder 4

Divisible by 6No, remainder 2

Divisible by 7No, remainder 6

Divisible by 8No, remainder 4

Divisible by 9No, remainder 8

Divisible by 10No, remainder 4

Divisible by 11No, remainder 5

Divisible by 12No, remainder 8

Divisible by 100No, remainder 4

Collatz (3n + 1) trajectory

Steps to reach 153the total stopping time

Highest value reached3,442,004

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

First steps3,442,004 → 1,721,002 → 860,501 → 2,581,504 → 1,290,752 → 645,376 → 322,688 → 161,344 → 80,672 → 40,336 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage344,200,400%

3,442,004% as a decimal34,420.04

3,442,004% of 1003,442,004

3,442,004% of 1,00034,420,040

As a fraction of 1003,442,004/100

Read another way

As seconds39 days, 20 hours and 6 minutes

As bytes3.283 MiB

As a 24-bit colour#348554

Keep nerding

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