Recognised as Number

1,006,365

Positive
Odd
Composite
7 digits

1,006,365 is an odd 7-digit integer and a composite number. It has 16 divisors and a digital root of 3.

Number properties

ParityOddnot divisible by 2

SignPositive

PrimalityComposite

Absolute value1,006,365

Digit count7

Digit sum21

Digit product0zero, because one of the digits is zero

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

Digital root3repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation3 × 5 × 23 × 2,917

Distinct prime factors43, 5, 23, 2,917

Number of divisors16

Sum of divisors σ(n)1,680,768

Aliquot sum674,403sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)513,216integers below n that share no factor with it

Carmichael function λ(n)32,076the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 513,216

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

SquarefreeYesno repeated prime factor

All divisors1, 3, 5, 15, 23, 69, 115, 345, 2,917, 8,751, 14,585, 43,755, 67,091, 201,273, 335,455, 1,006,36516 in total

Arithmetic

Previous number1,006,364

Next number1,006,366

Double2,012,730

Half503,182.5

Square1,012,770,513,225

Cube1,019,216,797,541,677,125

Square root1,003.1774519≈irrational, shown to 9 decimal places

Cube root100.211718105≈

Negation-1,006,365

Reciprocal9.93675257 × 10^-7≈

Representations

Decimal1,006,365

Binary1111010110110001110120 bits

Octal3655435

HexadecimalF5B1D

Base 36LKIL

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

In wordsone million, six thousand, three hundred and sixty-five

Ordinalone million, six thousand, three hundred and sixty-fifth

Scientific notation1.006365 × 10^6

Engineering notation1.006365 × 10^6

In other bases

Ternary1220010110210base 3; the most digit-efficient integer base after e: 13 digits

Quinary224200430base 5; one hand: 9 digits

Septenary11361003base 7: 8 digits

Nonary1803423base 9; each digit is two ternary digits: 7 digits

Duodecimal406479base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits

Vigesimal65fi5base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits

Sexagesimal4:39:32:45base 60; Babylonian, and still how an hour and a circle are divided: 4 digits

Balanced ternary1T0T0010111T10digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary100001010111101101101base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

00000000000011110101101100011101

Bit length20 bitsto write the magnitude

Set bits13the population count, or Hamming weight

Zero bits7within that length

Bit parityodd13 set bits, so odd; not the same as the number itself being odd

Highest set bitbit 19worth 524,288

Lowest set bitbit 00 trailing zeros

Power of twoNo

Bytes30f 5b 1d

Gray code10001111011010010011n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

32-bit00000000000011110101101100011101

64-bit0000000000000000000000000000000000000000000011110101101100011101

One's complement11111111111100001010010011100010at 32 bits, every bit flipped

Bits reversed10111000110110101111000000000000at 32 bits

Rotated left by 100000000000111101011011000111010at 32 bits, wrapping

Shifted left by 1111101011011000111010= 2,012,730, no wrap

Shifted right by 11111010110110001110= 503,182, discarding the low bit

These bits as a double4.97210374 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime1,006,367+2

Previous prime1,006,361−4

Distance to nearest prime2

Nearest square below1,006,009

Nearest square above1,008,016

Powers & multiples

1,006,365 to the power 21,012,770,513,225

1,006,365 to the power 31,019,216,797,541,677,125

1,006,365 to the power 41,025,704,112,458,029,899,900,625

1,006,365 to the power 51,032,232,719,133,825,260,213,492,478,125

First ten multiples1,006,365, 2,012,730, 3,019,095, 4,025,460, 5,031,825, 6,038,190, 7,044,555, 8,050,920, 9,057,285, 10,063,650

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

Divisibility tests

Divisible by 2No, remainder 1

Divisible by 3Yes

Divisible by 4No, remainder 1

Divisible by 5Yes

Divisible by 6No, remainder 3

Divisible by 7No, remainder 3

Divisible by 8No, remainder 5

Divisible by 9No, remainder 3

Divisible by 10No, remainder 5

Divisible by 11No, remainder 8

Divisible by 12No, remainder 9

Divisible by 100No, remainder 65

Collatz (3n + 1) trajectory

Steps to reach 190the total stopping time

Highest value reached3,019,0963× the starting value

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

First steps1,006,365 → 3,019,096 → 1,509,548 → 754,774 → 377,387 → 1,132,162 → 566,081 → 1,698,244 → 849,122 → 424,561 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage100,636,500%

1,006,365% as a decimal10,063.65

1,006,365% of 1001,006,365

1,006,365% of 1,00010,063,650

As a fraction of 1001,006,365/100

Read another way

As seconds11 days, 15 hours and 32 minutes

As bytes982.778 KiB

As a 24-bit colour#0F5B1D

Keep nerding

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