Recognised as Number

1,388,380

Positive
Even
Composite
7 digits

1,388,380 is an even 7-digit integer and a composite number. It has 48 divisors and a digital root of 4.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value1,388,380

Digit count7

Digit sum31

Digit product0zero, because one of the digits is zero

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

Digital root4repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation2^2 × 5 × 7 × 47 × 211

Distinct prime factors52, 5, 7, 47, 211

Number of divisors48

Sum of divisors σ(n)3,419,136

Aliquot sum2,030,756sum of the proper divisors

ClassificationAbundantthe aliquot sum exceeds the number

Euler's totient φ(n)463,680integers below n that share no factor with it

Carmichael function λ(n)9,660the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 463,680

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

SquarefreeNohas a repeated prime factor

All divisors1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 47, 70, 94, 140, 188, 211, 235, 329, 422, 470, 658, 844, 940, 1,055, 1,316, 1,477, 1,645, 2,110, 2,954, 3,290, 4,220, 5,908, 6,580, 7,385, 9,917, 14,770, 19,834, 29,540, 39,668, 49,585, 69,419, 99,170, 138,838, 198,340, 277,676, 347,095, 694,190, 1,388,38048 in total

Arithmetic

Previous number1,388,379

Next number1,388,381

Double2,776,760

Half694,190

Square1,927,599,024,400

Cube2,676,239,933,496,472,000

Square root1,178.295378927≈irrational, shown to 9 decimal places

Cube root111.558530003≈

Negation-1,388,380

Reciprocal7.20263905 × 10^-7≈

Representations

Decimal1,388,380

Binary10101001011110101110021 bits

Octal5227534

Hexadecimal152F5C

Base 36TRA4

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

In wordsone million, three hundred and eighty-eight thousand, three hundred and eighty

Ordinalone million, three hundred and eighty-eight thousand, three hundred and eightieth

Scientific notation1.38838 × 10^6

Engineering notation1.38838 × 10^6

In other bases

Ternary2121112111111base 3; the most digit-efficient integer base after e: 13 digits

Quinary323412010base 5; one hand: 9 digits

Septenary14541520base 7: 8 digits

Nonary2545444base 9; each digit is two ternary digits: 7 digits

Duodecimal56b564base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits

Vigesimal8daj0base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits

Sexagesimal6:25:39:40base 60; Babylonian, and still how an hour and a circle are divided: 4 digits

Balanced ternary10T0TTTT111111digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary101010111000010101100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

00000000000101010010111101011100

Bit length21 bitsto write the magnitude

Set bits12the population count, or Hamming weight

Zero bits9within that length

Bit parityeven12 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

Bytes315 2f 5c

Gray code111111011100011110010n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

32-bit00000000000101010010111101011100

64-bit0000000000000000000000000000000000000000000101010010111101011100

One's complement11111111111010101101000010100011at 32 bits, every bit flipped

Bits reversed00111010111101001010100000000000at 32 bits

Rotated left by 100000000001010100101111010111000at 32 bits, wrapping

Shifted left by 11010100101111010111000= 2,776,760, no wrap

Shifted right by 110101001011110101110= 694,190, discarding the low bit

These bits as a double6.85950861 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime1,388,381+1

Previous prime1,388,369−11

Distance to nearest prime1

Nearest square below1,387,684

Nearest square above1,390,041

Powers & multiples

1,388,380 to the power 21,927,599,024,400

1,388,380 to the power 32,676,239,933,496,472,000

1,388,380 to the power 43,715,637,998,867,831,795,360,000

1,388,380 to the power 55,158,717,484,868,120,308,041,916,800,000

First ten multiples1,388,380, 2,776,760, 4,165,140, 5,553,520, 6,941,900, 8,330,280, 9,718,660, 11,107,040, 12,495,420, 13,883,800

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 5Yes

Divisible by 6No, remainder 4

Divisible by 7Yes

Divisible by 8No, remainder 4

Divisible by 9No, remainder 4

Divisible by 10Yes

Divisible by 11No, remainder 4

Divisible by 12No, remainder 4

Divisible by 100No, remainder 80

Collatz (3n + 1) trajectory

Steps to reach 1168the total stopping time

Highest value reached18,999,01613× the starting value

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

First steps1,388,380 → 694,190 → 347,095 → 1,041,286 → 520,643 → 1,561,930 → 780,965 → 2,342,896 → 1,171,448 → 585,724 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage138,838,000%

1,388,380% as a decimal13,883.8

1,388,380% of 1001,388,380

1,388,380% of 1,00013,883,800

As a fraction of 1001,388,380/100

Read another way

As seconds16 days, 1 hour and 39 minutes

As bytes1.324 MiB

As a 24-bit colour#152F5C

Keep nerding

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