Recognised as Number

1,097,004

Positive
Even
Composite
7 digits

1,097,004 is an even 7-digit integer and a composite number. It has 24 divisors and a digital root of 3.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value1,097,004

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 factorisation2^2 × 3 × 113 × 809

Distinct prime factors42, 3, 113, 809

Number of divisors24

Sum of divisors σ(n)2,585,520

Aliquot sum1,488,516sum of the proper divisors

ClassificationAbundantthe aliquot sum exceeds the number

Euler's totient φ(n)361,984integers below n that share no factor with it

Carmichael function λ(n)11,312the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 361,984

Möbius function μ(n)0zero, because a prime divides n twice

SquarefreeNohas a repeated prime factor

All divisors1, 2, 3, 4, 6, 12, 113, 226, 339, 452, 678, 809, 1,356, 1,618, 2,427, 3,236, 4,854, 9,708, 91,417, 182,834, 274,251, 365,668, 548,502, 1,097,00424 in total

Arithmetic

Previous number1,097,003

Next number1,097,005

Double2,194,008

Half548,502

Square1,203,417,776,016

Cube1,320,154,113,960,656,064

Square root1,047.379587351≈irrational, shown to 9 decimal places

Cube root103.13420781≈

Negation-1,097,004

Reciprocal9.11573704 × 10^-7≈

Representations

Decimal1,097,004

Binary10000101111010010110021 bits

Octal4136454

Hexadecimal10BD2C

Base 36NIGC

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

In wordsone million, ninety-seven thousand and four

Ordinalone million, ninety-seven thousand and fourth

Scientific notation1.097004 × 10^6

Engineering notation1.097004 × 10^6

In other bases

Ternary2001201210210base 3; the most digit-efficient integer base after e: 13 digits

Quinary240101004base 5; one hand: 9 digits

Septenary12216156base 7: 8 digits

Nonary2051723base 9; each digit is two ternary digits: 7 digits

Duodecimal44aa10base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits

Vigesimal6h2a4base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits

Sexagesimal5:4:43:24base 60; Babylonian, and still how an hour and a circle are divided: 4 digits

Balanced ternary1T01TT1TT11T10digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary100011100110101111100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

00000000000100001011110100101100

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

Bytes310 bd 2c

Gray code110001110001110111010n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

32-bit00000000000100001011110100101100

64-bit0000000000000000000000000000000000000000000100001011110100101100

One's complement11111111111011110100001011010011at 32 bits, every bit flipped

Bits reversed00110100101111010000100000000000at 32 bits

Rotated left by 100000000001000010111101001011000at 32 bits, wrapping

Shifted left by 11000010111101001011000= 2,194,008, no wrap

Shifted right by 110000101111010010110= 548,502, discarding the low bit

These bits as a double5.4199199 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime1,097,009+5

Previous prime1,096,999−5

Distance to nearest prime5

Nearest square below1,096,209

Nearest square above1,098,304

Powers & multiples

1,097,004 to the power 21,203,417,776,016

1,097,004 to the power 31,320,154,113,960,656,064

1,097,004 to the power 41,448,214,343,631,295,544,832,256

1,097,004 to the power 51,588,696,927,820,905,737,863,164,161,024

First ten multiples1,097,004, 2,194,008, 3,291,012, 4,388,016, 5,485,020, 6,582,024, 7,679,028, 8,776,032, 9,873,036, 10,970,040

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

Divisibility tests

Divisible by 2Yes

Divisible by 3Yes

Divisible by 4Yes

Divisible by 5No, remainder 4

Divisible by 6Yes

Divisible by 7No, remainder 6

Divisible by 8No, remainder 4

Divisible by 9No, remainder 3

Divisible by 10No, remainder 4

Divisible by 11No, remainder 7

Divisible by 12Yes

Divisible by 100No, remainder 4

Collatz (3n + 1) trajectory

Steps to reach 185the total stopping time

Highest value reached1,234,1321× the starting value

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

First steps1,097,004 → 548,502 → 274,251 → 822,754 → 411,377 → 1,234,132 → 617,066 → 308,533 → 925,600 → 462,800 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage109,700,400%

1,097,004% as a decimal10,970.04

1,097,004% of 1001,097,004

1,097,004% of 1,00010,970,040

As a fraction of 1001,097,004/100

Read another way

As seconds12 days, 16 hours and 43 minutes

As bytes1.046 MiB

As a 24-bit colour#10BD2C

Keep nerding

Every link below is a page Nerdulator can generate from what it already knows about this value.