Recognised as Number

1,740,004

Positive
Even
Composite
7 digits

1,740,004 is an even 7-digit integer and a composite number. It has 12 divisors and a digital root of 7.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value1,740,004

Digit count7

Digit sum16

Digit product0zero, because one of the digits is zero

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

Digital root7repeated digit sum

PalindromicNoreads differently backwards

Happy numberYessquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation2^2 × 7 × 62,143

Distinct prime factors32, 7, 62,143

Number of divisors12

Sum of divisors σ(n)3,480,064

Aliquot sum1,740,060sum of the proper divisors

ClassificationAbundantthe aliquot sum exceeds the number

Euler's totient φ(n)745,704integers below n that share no factor with it

Carmichael function λ(n)62,142the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 745,704

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

SquarefreeNohas a repeated prime factor

All divisors1, 2, 4, 7, 14, 28, 62,143, 124,286, 248,572, 435,001, 870,002, 1,740,00412 in total

Arithmetic

Previous number1,740,003

Next number1,740,005

Double3,480,008

Half870,002

Square3,027,613,920,016

Cube5,268,060,331,283,520,064

Square root1,319.092112023≈irrational, shown to 9 decimal places

Cube root120.277229409≈

Negation-1,740,004

Reciprocal5.74711323 × 10^-7≈

Representations

Decimal1,740,004

Binary11010100011001110010021 bits

Octal6506344

Hexadecimal1A8CE4

Base 3611ALG

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

In wordsone million, seven hundred and forty thousand and four

Ordinalone million, seven hundred and forty thousand and fourth

Scientific notation1.740004 × 10^6

Engineering notation1.740004 × 10^6

In other bases

Ternary10021101211121base 3; the most digit-efficient integer base after e: 14 digits

Quinary421140004base 5; one hand: 9 digits

Septenary20534620base 7: 8 digits

Nonary3241747base 9; each digit is two ternary digits: 7 digits

Duodecimal6bab44base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits

Vigesimalaha04base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits

Sexagesimal8:3:20:4base 60; Babylonian, and still how an hour and a circle are divided: 4 digits

Balanced ternary101T111T0TTTT1digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary11011111001110100100100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

00000000000110101000110011100100

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

Bytes31a 8c e4

Gray code101111100101010010110n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

32-bit00000000000110101000110011100100

64-bit0000000000000000000000000000000000000000000110101000110011100100

One's complement11111111111001010111001100011011at 32 bits, every bit flipped

Bits reversed00100111001100010101100000000000at 32 bits

Rotated left by 100000000001101010001100111001000at 32 bits, wrapping

Shifted left by 11101010001100111001000= 3,480,008, no wrap

Shifted right by 111010100011001110010= 870,002, discarding the low bit

These bits as a double8.596762 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime1,740,041+37

Previous prime1,739,981−23

Distance to nearest prime23

Nearest square below1,739,761

Nearest square above1,742,400

Powers & multiples

1,740,004 to the power 23,027,613,920,016

1,740,004 to the power 35,268,060,331,283,520,064

1,740,004 to the power 49,166,446,048,674,650,045,440,256

1,740,004 to the power 515,949,652,790,478,085,777,666,227,201,024

First ten multiples1,740,004, 3,480,008, 5,220,012, 6,960,016, 8,700,020, 10,440,024, 12,180,028, 13,920,032, 15,660,036, 17,400,040

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 5No, remainder 4

Divisible by 6No, remainder 4

Divisible by 7Yes

Divisible by 8No, remainder 4

Divisible by 9No, remainder 7

Divisible by 10No, remainder 4

Divisible by 11No, remainder 2

Divisible by 12No, remainder 4

Divisible by 100No, remainder 4

Collatz (3n + 1) trajectory

Steps to reach 1145the total stopping time

Highest value reached1,740,004

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

First steps1,740,004 → 870,002 → 435,001 → 1,305,004 → 652,502 → 326,251 → 978,754 → 489,377 → 1,468,132 → 734,066 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage174,000,400%

1,740,004% as a decimal17,400.04

1,740,004% of 1001,740,004

1,740,004% of 1,00017,400,040

As a fraction of 1001,740,004/100

Read another way

As seconds20 days, 3 hours and 20 minutes

As bytes1.659 MiB

As a 24-bit colour#1A8CE4

Keep nerding

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