Recognised as Number
1,322,200
- Positive
- Even
- Composite
- 7 digits
1,322,200 is an even 7-digit integer and a composite number. It has 48 divisors and a digital root of 1.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value1,322,200
Digit count7
Digit sum10
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root1repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum
Factors & divisors
Prime factorisation2^3 × 5^2 × 11 × 601
Distinct prime factors42, 5, 11, 601
Number of divisors48
Sum of divisors σ(n)3,359,160
Aliquot sum2,036,960sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)480,000integers below n that share no factor with it
Carmichael function λ(n)600the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 480,000
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 40, 44, 50, 55, 88, 100, 110, 200, 220, 275, 440, 550, 601, 1,100, 1,202, 2,200, 2,404, 3,005, 4,808, 6,010, 6,611, 12,020, 13,222, 15,025, 24,040, 26,444, 30,050, 33,055, 52,888, 60,100, 66,110, 120,200, 132,220, 165,275, 264,440, 330,550, 661,100, 1,322,20048 in total
Arithmetic
Previous number1,322,199
Next number1,322,201
Double2,644,400
Half661,100
Square1,748,212,840,000
Cube2,311,487,017,048,000,000
Square root1,149.869557819≈irrational, shown to 9 decimal places
Cube root109.757039518≈
Negation-1,322,200
Reciprocal7.56315232 × 10^-7≈
Representations
Decimal1,322,200
Binary10100001011001101100021 bits
Octal5026330
Hexadecimal142CD8
Base 36SC7S
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsone million, three hundred and twenty-two thousand, two hundred
Ordinalone million, three hundred and twenty-two thousand, two hundredth
Scientific notation1.3222 × 10^6
Engineering notation1.3222 × 10^6
In other bases
Ternary2111011201101base 3; the most digit-efficient integer base after e: 13 digits
Quinary314302300base 5; one hand: 9 digits
Septenary14144545base 7: 8 digits
Nonary2434641base 9; each digit is two ternary digits: 7 digits
Duodecimal5391b4base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits
Vigesimal855a0base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits
Sexagesimal6:7:16:40base 60; Babylonian, and still how an hour and a circle are divided: 4 digits
Balanced ternary1T1111TTT01101digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary101000111110100101000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
00000000000101000010110011011000
Bit length21 bitsto write the magnitude
Set bits9the population count, or Hamming weight
Zero bits12within that length
Bit parityodd9 set bits, so odd; not the same as the number itself being even
Highest set bitbit 20worth 1,048,576
Lowest set bitbit 33 trailing zeros
Power of twoNo
Bytes314 2c d8
Gray code111100011101010110100n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit00000000000101000010110011011000
64-bit0000000000000000000000000000000000000000000101000010110011011000
One's complement11111111111010111101001100100111at 32 bits, every bit flipped
Bits reversed00011011001101000010100000000000at 32 bits
Rotated left by 100000000001010000101100110110000at 32 bits, wrapping
Shifted left by 11010000101100110110000= 2,644,400, no wrap
Shifted right by 110100001011001101100= 661,100, discarding the low bit
These bits as a double6.53253597 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
1,322,200 to the power 21,748,212,840,000
1,322,200 to the power 32,311,487,017,048,000,000
1,322,200 to the power 43,056,248,133,940,865,600,000,000
1,322,200 to the power 54,040,971,282,696,612,496,320,000,000,000
First ten multiples1,322,200, 2,644,400, 3,966,600, 5,288,800, 6,611,000, 7,933,200, 9,255,400, 10,577,600, 11,899,800, 13,222,000
Powers of twoBetween 2^20 (1,048,576) and 2^21 (2,097,152)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4Yes
Divisible by 5Yes
Divisible by 6No, remainder 4
Divisible by 7No, remainder 5
Divisible by 8Yes
Divisible by 9No, remainder 1
Divisible by 10Yes
Divisible by 11Yes
Divisible by 12No, remainder 4
Divisible by 100Yes
Collatz (3n + 1) trajectory
Steps to reach 1124the total stopping time
Highest value reached1,882,6001× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps1,322,200 → 661,100 → 330,550 → 165,275 → 495,826 → 247,913 → 743,740 → 371,870 → 185,935 → 557,806 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage132,220,000%
1,322,200% as a decimal13,222
1,322,200% of 1001,322,200
1,322,200% of 1,00013,222,000
As a fraction of 1001,322,200/100
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