Recognised as Number

1,190,013

Positive
Odd
Composite
7 digits

1,190,013 is an odd 7-digit integer and a composite number. It has 8 divisors and a digital root of 6.

Number properties

ParityOddnot divisible by 2

SignPositive

PrimalityComposite

Absolute value1,190,013

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 numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation3 × 11 × 36,061

Distinct prime factors33, 11, 36,061

Number of divisors8

Sum of divisors σ(n)1,730,976

Aliquot sum540,963sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)721,200integers below n that share no factor with it

Carmichael function λ(n)36,060the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 721,200

Möbius function μ(n)−13 distinct prime factors, an odd number of them

SquarefreeYesno repeated prime factor

All divisors1, 3, 11, 33, 36,061, 108,183, 396,671, 1,190,0138 in total

Arithmetic

Previous number1,190,012

Next number1,190,014

Double2,380,026

Half595,006.5

Square1,416,130,940,169

Cube1,685,214,228,503,332,197

Square root1,090.877169988≈irrational, shown to 9 decimal places

Cube root105.970236096≈

Negation-1,190,013

Reciprocal8.40326954 × 10^-7≈

Representations

Decimal1,190,013

Binary10010001010000111110121 bits

Octal4424175

Hexadecimal12287D

Base 36PI7X

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

In wordsone million, one hundred and ninety thousand and thirteen

Ordinalone million, one hundred and ninety thousand and thirteenth

Scientific notation1.190013 × 10^6

Engineering notation1.190013 × 10^6

In other bases

Ternary2020110101120base 3; the most digit-efficient integer base after e: 13 digits

Quinary301040023base 5; one hand: 9 digits

Septenary13054266base 7: 8 digits

Nonary2213346base 9; each digit is two ternary digits: 7 digits

Duodecimal4947b9base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits

Vigesimal78f0dbase 20; hands and feet, and the Mayan and Yoruba systems: 5 digits

Sexagesimal5:30:33:33base 60; Babylonian, and still how an hour and a circle are divided: 4 digits

Balanced ternary1T1T011011TTT0digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary101100111100110001101base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

00000000000100100010100001111101

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 odd

Highest set bitbit 20worth 1,048,576

Lowest set bitbit 00 trailing zeros

Power of twoNo

Bytes312 28 7d

Gray code110110011110001000011n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

32-bit00000000000100100010100001111101

64-bit0000000000000000000000000000000000000000000100100010100001111101

One's complement11111111111011011101011110000010at 32 bits, every bit flipped

Bits reversed10111110000101000100100000000000at 32 bits

Rotated left by 100000000001001000101000011111010at 32 bits, wrapping

Shifted left by 11001000101000011111010= 2,380,026, no wrap

Shifted right by 110010001010000111110= 595,006, discarding the low bit

These bits as a double5.87944541 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime1,190,023+10

Previous prime1,190,011−2

Distance to nearest prime2

Nearest square below1,188,100

Nearest square above1,190,281

Powers & multiples

1,190,013 to the power 21,416,130,940,169

1,190,013 to the power 31,685,214,228,503,332,197

1,190,013 to the power 42,005,426,839,703,935,857,748,561

1,190,013 to the power 52,386,484,009,796,599,821,886,938,321,293

First ten multiples1,190,013, 2,380,026, 3,570,039, 4,760,052, 5,950,065, 7,140,078, 8,330,091, 9,520,104, 10,710,117, 11,900,130

Powers of twoBetween 2^20 (1,048,576) and 2^21 (2,097,152)

Divisibility tests

Divisible by 2No, remainder 1

Divisible by 3Yes

Divisible by 4No, remainder 1

Divisible by 5No, remainder 3

Divisible by 6No, remainder 3

Divisible by 7No, remainder 6

Divisible by 8No, remainder 5

Divisible by 9No, remainder 6

Divisible by 10No, remainder 3

Divisible by 11Yes

Divisible by 12No, remainder 9

Divisible by 100No, remainder 13

Collatz (3n + 1) trajectory

Steps to reach 167the total stopping time

Highest value reached4,518,3403× the starting value

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

First steps1,190,013 → 3,570,040 → 1,785,020 → 892,510 → 446,255 → 1,338,766 → 669,383 → 2,008,150 → 1,004,075 → 3,012,226 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage119,001,300%

1,190,013% as a decimal11,900.13

1,190,013% of 1001,190,013

1,190,013% of 1,00011,900,130

As a fraction of 1001,190,013/100

Read another way

As seconds13 days, 18 hours and 33 minutes

As bytes1.135 MiB

As a 24-bit colour#12287D

Keep nerding

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