Recognised as Number
1,421,420
- Positive
- Even
- Composite
- 7 digits
1,421,420 is an even 7-digit integer and a composite number. It has 96 divisors and a digital root of 5.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value1,421,420
Digit count7
Digit sum14
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root5repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum
Factors & divisors
Prime factorisation2^2 × 5 × 7 × 11 × 13 × 71
Distinct prime factors62, 5, 7, 11, 13, 71
Number of divisors96
Sum of divisors σ(n)4,064,256
Aliquot sum2,642,836sum of the proper divisors
ClassificationAbundantthe aliquot sum exceeds the number
Euler's totient φ(n)403,200integers below n that share no factor with it
Carmichael function λ(n)420the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 403,200
Möbius function μ(n)0zero, because a prime divides n twice
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 5, 7, 10, 11, 13, 14, 20, 22, 26, 28, 35, 44, 52, 55, 65, 70, 71, 77, 91, 110, 130, 140, 142, 143, 154, 182, 220, 260, 284, 286, 308, 355, 364, 385, 455, 497, 572, 710, 715, 770, 781, 910, 923, 994, 1,001, 1,420, 1,430, 1,540, 1,562, 1,820, 1,846, 1,988, 2,002, 2,485, 2,860, 3,124, 3,692, 3,905, 4,004, 4,615, 4,970, 5,005, 5,467, 6,461, 7,810, 9,230, 9,940, 10,010, 10,153, 10,934, 12,922, 15,620, 18,460, 20,020, 20,306, 21,868, 25,844, 27,335, 32,305, 40,612, 50,765, 54,670, 64,610, 71,071, 101,530, 109,340, 129,220, 142,142, 203,060, 284,284, 355,355, 710,710, 1,421,42096 in total
Arithmetic
Previous number1,421,419
Next number1,421,421
Double2,842,840
Half710,710
Square2,020,434,816,400
Cube2,871,886,456,727,288,000
Square root1,192.233198665≈irrational, shown to 9 decimal places
Cube root112.436540342≈
Negation-1,421,420
Reciprocal7.0352183 × 10^-7≈
Representations
Decimal1,421,420
Binary10101101100000110110021 bits
Octal5330154
Hexadecimal15B06C
Base 36UGRW
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsone million, four hundred and twenty-one thousand, four hundred and twenty
Ordinalone million, four hundred and twenty-one thousand, four hundred and twentieth
Scientific notation1.42142 × 10^6
Engineering notation1.42142 × 10^6
In other bases
Ternary2200012211012base 3; the most digit-efficient integer base after e: 13 digits
Quinary330441140base 5; one hand: 9 digits
Septenary15040040base 7: 8 digits
Nonary2605735base 9; each digit is two ternary digits: 7 digits
Duodecimal5866b8base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits
Vigesimal8hdb0base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits
Sexagesimal6:34:50:20base 60; Babylonian, and still how an hour and a circle are divided: 4 digits
Balanced ternary10T001T0T111TTdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary11010101111000110111100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
00000000000101011011000001101100
Bit length21 bitsto write the magnitude
Set bits10the population count, or Hamming weight
Zero bits11within that length
Bit parityeven10 set bits, so even; not the same as the number itself being even
Highest set bitbit 20worth 1,048,576
Lowest set bitbit 22 trailing zeros
Power of twoNo
Bytes315 b0 6c
Gray code111110110100001011010n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit00000000000101011011000001101100
64-bit0000000000000000000000000000000000000000000101011011000001101100
One's complement11111111111010100100111110010011at 32 bits, every bit flipped
Bits reversed00110110000011011010100000000000at 32 bits
Rotated left by 100000000001010110110000011011000at 32 bits, wrapping
Shifted left by 11010110110000011011000= 2,842,840, no wrap
Shifted right by 110101101100000110110= 710,710, discarding the low bit
These bits as a double7.0227479 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
1,421,420 to the power 22,020,434,816,400
1,421,420 to the power 32,871,886,456,727,288,000
1,421,420 to the power 44,082,156,847,321,301,708,960,000
1,421,420 to the power 55,802,459,385,919,444,675,149,923,200,000
First ten multiples1,421,420, 2,842,840, 4,264,260, 5,685,680, 7,107,100, 8,528,520, 9,949,940, 11,371,360, 12,792,780, 14,214,200
Powers of twoBetween 2^20 (1,048,576) and 2^21 (2,097,152)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 2
Divisible by 4Yes
Divisible by 5Yes
Divisible by 6No, remainder 2
Divisible by 7Yes
Divisible by 8No, remainder 4
Divisible by 9No, remainder 5
Divisible by 10Yes
Divisible by 11Yes
Divisible by 12No, remainder 8
Divisible by 100No, remainder 20
Collatz (3n + 1) trajectory
Steps to reach 198the total stopping time
Highest value reached6,830,5484× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps1,421,420 → 710,710 → 355,355 → 1,066,066 → 533,033 → 1,599,100 → 799,550 → 399,775 → 1,199,326 → 599,663 → …
Last steps… → 32 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage142,142,000%
1,421,420% as a decimal14,214.2
1,421,420% of 1001,421,420
1,421,420% of 1,00014,214,200
As a fraction of 1001,421,420/100
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