Recognised as Number
3,442,002
- Positive
- Even
- Composite
- 7 digits
3,442,002 is an even 7-digit integer and a composite number. It has 32 divisors and a digital root of 6.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value3,442,002
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 numberYessquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum
Factors & divisors
Prime factorisation2 × 3 × 19 × 109 × 277
Distinct prime factors52, 3, 19, 109, 277
Number of divisors32
Sum of divisors σ(n)7,339,200
Aliquot sum3,897,198sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)1,073,088integers below n that share no factor with it
Carmichael function λ(n)2,484the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 1,073,088
Möbius function μ(n)−15 distinct prime factors, an odd number of them
SquarefreeYesno repeated prime factor
All divisors1, 2, 3, 6, 19, 38, 57, 109, 114, 218, 277, 327, 554, 654, 831, 1,662, 2,071, 4,142, 5,263, 6,213, 10,526, 12,426, 15,789, 30,193, 31,578, 60,386, 90,579, 181,158, 573,667, 1,147,334, 1,721,001, 3,442,00232 in total
Arithmetic
Previous number3,442,001
Next number3,442,003
Double6,884,004
Half1,721,001
Square11,847,377,768,004
Cube40,778,697,972,225,304,008
Square root1,855.263323628≈irrational, shown to 9 decimal places
Cube root150.986125065≈
Negation-3,442,002
Reciprocal2.90528594 × 10^-7≈
Representations
Decimal3,442,002
Binary110100100001010101001022 bits
Octal15102522
Hexadecimal348552
Base 3621RV6
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsthree million, four hundred and forty-two thousand and two
Ordinalthree million, four hundred and forty-two thousand and second
Scientific notation3.442002 × 10^6
Engineering notation3.442002 × 10^6
In other bases
Ternary20110212112120base 3; the most digit-efficient integer base after e: 14 digits
Quinary1340121002base 5; one hand: 10 digits
Septenary41153664base 7: 8 digits
Nonary6425476base 9; each digit is two ternary digits: 7 digits
Duodecimal119ba96base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 7 digits
Vigesimal11a502base 20; hands and feet, and the Mayan and Yoruba systems: 6 digits
Sexagesimal15:56:6:42base 60; Babylonian, and still how an hour and a circle are divided: 4 digits
Balanced ternary1T01110T0TT0TT0digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary11101011000010101010110base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
00000000001101001000010101010010
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 11 trailing zero
Power of twoNo
Bytes334 85 52
Gray code1011101100011111111011n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit00000000001101001000010101010010
64-bit0000000000000000000000000000000000000000001101001000010101010010
One's complement11111111110010110111101010101101at 32 bits, every bit flipped
Bits reversed01001010101000010010110000000000at 32 bits
Rotated left by 100000000011010010000101010100100at 32 bits, wrapping
Shifted left by 111010010000101010100100= 6,884,004, no wrap
Shifted right by 1110100100001010101001= 1,721,001, discarding the low bit
These bits as a double1.70057494 × 10^-317≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
3,442,002 to the power 211,847,377,768,004
3,442,002 to the power 340,778,697,972,225,304,008
3,442,002 to the power 4140,360,359,977,795,440,846,144,016
3,442,002 to the power 5483,120,639,764,291,862,983,309,395,360,032
First ten multiples3,442,002, 6,884,004, 10,326,006, 13,768,008, 17,210,010, 20,652,012, 24,094,014, 27,536,016, 30,978,018, 34,420,020
Powers of twoBetween 2^21 (2,097,152) and 2^22 (4,194,304)
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 4
Divisible by 8No, remainder 2
Divisible by 9No, remainder 6
Divisible by 10No, remainder 2
Divisible by 11No, remainder 3
Divisible by 12No, remainder 6
Divisible by 100No, remainder 2
Collatz (3n + 1) trajectory
Steps to reach 1190the total stopping time
Highest value reached99,241,68428× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps3,442,002 → 1,721,001 → 5,163,004 → 2,581,502 → 1,290,751 → 3,872,254 → 1,936,127 → 5,808,382 → 2,904,191 → 8,712,574 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage344,200,200%
3,442,002% as a decimal34,420.02
3,442,002% of 1003,442,002
3,442,002% of 1,00034,420,020
As a fraction of 1003,442,002/100
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