Recognised as Number

1,616,004

Positive
Even
Composite
7 digits

1,616,004 is an even 7-digit integer and a composite number. It has 48 divisors and a digital root of 9.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value1,616,004

Digit count7

Digit sum18

Digit product0zero, because one of the digits is zero

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

Digital root9repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberYesdivisible by its own digit sum

Factors & divisors

Prime factorisation2^2 × 3^3 × 13 × 1,151

Distinct prime factors42, 3, 13, 1,151

Number of divisors48

Sum of divisors σ(n)4,515,840

Aliquot sum2,899,836sum of the proper divisors

ClassificationAbundantthe aliquot sum exceeds the number

Euler's totient φ(n)496,800integers below n that share no factor with it

Carmichael function λ(n)20,700the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 496,800

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

SquarefreeNohas a repeated prime factor

All divisors1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 108, 117, 156, 234, 351, 468, 702, 1,151, 1,404, 2,302, 3,453, 4,604, 6,906, 10,359, 13,812, 14,963, 20,718, 29,926, 31,077, 41,436, 44,889, 59,852, 62,154, 89,778, 124,308, 134,667, 179,556, 269,334, 404,001, 538,668, 808,002, 1,616,00448 in total

Arithmetic

Previous number1,616,003

Next number1,616,005

Double3,232,008

Half808,002

Square2,611,468,928,016

Cube4,220,144,233,549,568,064

Square root1,271.221459857≈irrational, shown to 9 decimal places

Cube root117.349382992≈

Negation-1,616,004

Reciprocal6.18810349 × 10^-7≈

Representations

Decimal1,616,004

Binary11000101010001000010021 bits

Octal6124204

Hexadecimal18A884

Base 36YMX0

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

In wordsone million, six hundred and sixteen thousand and four

Ordinalone million, six hundred and sixteen thousand and fourth

Scientific notation1.616004 × 10^6

Engineering notation1.616004 × 10^6

In other bases

Ternary10001002202000base 3; the most digit-efficient integer base after e: 14 digits

Quinary403203004base 5; one hand: 9 digits

Septenary16510245base 7: 8 digits

Nonary3032660base 9; each digit is two ternary digits: 7 digits

Duodecimal65b230base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits

Vigesimala2004base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits

Sexagesimal7:28:53:24base 60; Babylonian, and still how an hour and a circle are divided: 4 digits

Balanced ternary10001010T1T000digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary11010011111100110000100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

00000000000110001010100010000100

Bit length21 bitsto write the magnitude

Set bits7the population count, or Hamming weight

Zero bits14within that length

Bit parityodd7 set bits, so odd; 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

Bytes318 a8 84

Gray code101001111110011000110n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

32-bit00000000000110001010100010000100

64-bit0000000000000000000000000000000000000000000110001010100010000100

One's complement11111111111001110101011101111011at 32 bits, every bit flipped

Bits reversed00100001000101010001100000000000at 32 bits

Rotated left by 100000000001100010101000100001000at 32 bits, wrapping

Shifted left by 11100010101000100001000= 3,232,008, no wrap

Shifted right by 111000101010001000010= 808,002, discarding the low bit

These bits as a double7.9841206 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime1,616,009+5

Previous prime1,615,987−17

Distance to nearest prime5

Nearest square below1,615,441

Nearest square above1,617,984

Powers & multiples

1,616,004 to the power 22,611,468,928,016

1,616,004 to the power 34,220,144,233,549,568,064

1,616,004 to the power 46,819,769,961,993,036,189,696,256

1,616,004 to the power 511,020,775,537,660,594,454,693,908,481,024

First ten multiples1,616,004, 3,232,008, 4,848,012, 6,464,016, 8,080,020, 9,696,024, 11,312,028, 12,928,032, 14,544,036, 16,160,040

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 5

Divisible by 8No, remainder 4

Divisible by 9Yes

Divisible by 10No, remainder 4

Divisible by 11No, remainder 5

Divisible by 12Yes

Divisible by 100No, remainder 4

Collatz (3n + 1) trajectory

Steps to reach 170the total stopping time

Highest value reached1,616,004

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

First steps1,616,004 → 808,002 → 404,001 → 1,212,004 → 606,002 → 303,001 → 909,004 → 454,502 → 227,251 → 681,754 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage161,600,400%

1,616,004% as a decimal16,160.04

1,616,004% of 1001,616,004

1,616,004% of 1,00016,160,040

As a fraction of 1001,616,004/100

Read another way

As seconds18 days, 16 hours and 53 minutes

As bytes1.541 MiB

As a 24-bit colour#18A884

Keep nerding

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