Recognised as Number

1,400,208

Positive
Even
Composite
7 digits

1,400,208 is an even 7-digit integer and a composite number. It has 40 divisors and a digital root of 6.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value1,400,208

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 factorisation2^4 × 3 × 31 × 941

Distinct prime factors42, 3, 31, 941

Number of divisors40

Sum of divisors σ(n)3,737,856

Aliquot sum2,337,648sum of the proper divisors

ClassificationAbundantthe aliquot sum exceeds the number

Euler's totient φ(n)451,200integers below n that share no factor with it

Carmichael function λ(n)2,820the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 451,200

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

SquarefreeNohas a repeated prime factor

All divisors1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 48, 62, 93, 124, 186, 248, 372, 496, 744, 941, 1,488, 1,882, 2,823, 3,764, 5,646, 7,528, 11,292, 15,056, 22,584, 29,171, 45,168, 58,342, 87,513, 116,684, 175,026, 233,368, 350,052, 466,736, 700,104, 1,400,20840 in total

Arithmetic

Previous number1,400,207

Next number1,400,209

Double2,800,416

Half700,104

Square1,960,582,443,264

Cube2,745,223,221,717,798,912

Square root1,183.303849398≈irrational, shown to 9 decimal places

Cube root111.874434108≈

Negation-1,400,208

Reciprocal7.14179608 × 10^-7≈

Representations

Decimal1,400,208

Binary10101010111011001000021 bits

Octal5256620

Hexadecimal155D90

Base 36U0EO

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

In wordsone million, four hundred thousand, two hundred and eight

Ordinalone million, four hundred thousand, two hundred and eighth

Scientific notation1.400208 × 10^6

Engineering notation1.400208 × 10^6

In other bases

Ternary2122010201120base 3; the most digit-efficient integer base after e: 13 digits

Quinary324301313base 5; one hand: 9 digits

Septenary14621145base 7: 8 digits

Nonary2563646base 9; each digit is two ternary digits: 7 digits

Duodecimal576380base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits

Vigesimal8f0a8base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits

Sexagesimal6:28:56:48base 60; Babylonian, and still how an hour and a circle are divided: 4 digits

Balanced ternary10T0T011T1TTT0digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary11010101010001010010000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

00000000000101010101110110010000

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 44 trailing zeros

Power of twoNo

Bytes315 5d 90

Gray code111111111001101011000n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

32-bit00000000000101010101110110010000

64-bit0000000000000000000000000000000000000000000101010101110110010000

One's complement11111111111010101010001001101111at 32 bits, every bit flipped

Bits reversed00001001101110101010100000000000at 32 bits

Rotated left by 100000000001010101011101100100000at 32 bits, wrapping

Shifted left by 11010101011101100100000= 2,800,416, no wrap

Shifted right by 110101010111011001000= 700,104, discarding the low bit

These bits as a double6.9179467 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime1,400,249+41

Previous prime1,400,197−11

Distance to nearest prime11

Nearest square below1,399,489

Nearest square above1,401,856

Powers & multiples

1,400,208 to the power 21,960,582,443,264

1,400,208 to the power 32,745,223,221,717,798,912

1,400,208 to the power 43,843,883,516,835,035,778,973,696

1,400,208 to the power 55,382,236,451,340,551,778,005,200,928,768

First ten multiples1,400,208, 2,800,416, 4,200,624, 5,600,832, 7,001,040, 8,401,248, 9,801,456, 11,201,664, 12,601,872, 14,002,080

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 3

Divisible by 6Yes

Divisible by 7No, remainder 5

Divisible by 8Yes

Divisible by 9No, remainder 6

Divisible by 10No, remainder 8

Divisible by 11No, remainder 7

Divisible by 12Yes

Divisible by 100No, remainder 8

Collatz (3n + 1) trajectory

Steps to reach 1106the total stopping time

Highest value reached1,400,208

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

First steps1,400,208 → 700,104 → 350,052 → 175,026 → 87,513 → 262,540 → 131,270 → 65,635 → 196,906 → 98,453 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage140,020,800%

1,400,208% as a decimal14,002.08

1,400,208% of 1001,400,208

1,400,208% of 1,00014,002,080

As a fraction of 1001,400,208/100

Read another way

As seconds16 days, 4 hours and 56 minutes

As bytes1.335 MiB

As a 24-bit colour#155D90

Keep nerding

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