Recognised as Number

1,376,337

Positive
Odd
Composite
7 digits

1,376,337 is an odd 7-digit integer and a composite number. It has 8 divisors and a digital root of 3.

Number properties

ParityOddnot divisible by 2

SignPositive

PrimalityComposite

Absolute value1,376,337

Digit count7

Digit sum30

Digit product7,938

Multiplicative persistence4times 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 factorisation3 × 17 × 26,987

Distinct prime factors33, 17, 26,987

Number of divisors8

Sum of divisors σ(n)1,943,136

Aliquot sum566,799sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)863,552integers below n that share no factor with it

Carmichael function λ(n)215,888the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 863,552

Möbius function μ(n)−13 distinct prime factors, an odd number of them

SquarefreeYesno repeated prime factor

All divisors1, 3, 17, 51, 26,987, 80,961, 458,779, 1,376,3378 in total

Arithmetic

Previous number1,376,336

Next number1,376,338

Double2,752,674

Half688,168.5

Square1,894,303,537,569

Cube2,607,200,047,987,104,753

Square root1,173.173900153≈irrational, shown to 9 decimal places

Cube root111.235034809≈

Negation-1,376,337

Reciprocal7.26566241 × 10^-7≈

Representations

Decimal1,376,337

Binary10101000000000101000121 bits

Octal5200121

Hexadecimal150051

Base 36THZL

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

In wordsone million, three hundred and seventy-six thousand, three hundred and thirty-seven

Ordinalone million, three hundred and seventy-six thousand, three hundred and thirty-seventh

Scientific notation1.376337 × 10^6

Engineering notation1.376337 × 10^6

In other bases

Ternary2120220222110base 3; the most digit-efficient integer base after e: 13 digits

Quinary323020322base 5; one hand: 9 digits

Septenary14461434base 7: 8 digits

Nonary2526873base 9; each digit is two ternary digits: 7 digits

Duodecimal5645a9base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits

Vigesimal8c0ghbase 20; hands and feet, and the Mayan and Yoruba systems: 5 digits

Sexagesimal6:22:18:57base 60; Babylonian, and still how an hour and a circle are divided: 4 digits

Balanced ternary10TT10T100T110digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary101010000000001010001base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

00000000000101010000000001010001

Bit length21 bitsto write the magnitude

Set bits6the population count, or Hamming weight

Zero bits15within that length

Bit parityeven6 set bits, so even; not the same as the number itself being odd

Highest set bitbit 20worth 1,048,576

Lowest set bitbit 00 trailing zeros

Power of twoNo

Bytes315 00 51

Gray code111111000000001111001n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

32-bit00000000000101010000000001010001

64-bit0000000000000000000000000000000000000000000101010000000001010001

One's complement11111111111010101111111110101110at 32 bits, every bit flipped

Bits reversed10001010000000001010100000000000at 32 bits

Rotated left by 100000000001010100000000010100010at 32 bits, wrapping

Shifted left by 11010100000000010100010= 2,752,674, no wrap

Shifted right by 110101000000000101000= 688,168, discarding the low bit

These bits as a double6.80000829 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime1,376,339+2

Previous prime1,376,321−16

Distance to nearest prime2

Nearest square below1,375,929

Nearest square above1,378,276

Powers & multiples

1,376,337 to the power 21,894,303,537,569

1,376,337 to the power 32,607,200,047,987,104,753

1,376,337 to the power 43,588,385,892,446,427,794,429,761

1,376,337 to the power 54,938,828,274,052,039,091,302,073,965,457

First ten multiples1,376,337, 2,752,674, 4,129,011, 5,505,348, 6,881,685, 8,258,022, 9,634,359, 11,010,696, 12,387,033, 13,763,370

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

Divisibility tests

Divisible by 2No, remainder 1

Divisible by 3Yes

Divisible by 4No, remainder 1

Divisible by 5No, remainder 2

Divisible by 6No, remainder 3

Divisible by 7No, remainder 4

Divisible by 8No, remainder 1

Divisible by 9No, remainder 3

Divisible by 10No, remainder 7

Divisible by 11No, remainder 6

Divisible by 12No, remainder 9

Divisible by 100No, remainder 37

Collatz (3n + 1) trajectory

Steps to reach 1106the total stopping time

Highest value reached4,129,0123× the starting value

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

First steps1,376,337 → 4,129,012 → 2,064,506 → 1,032,253 → 3,096,760 → 1,548,380 → 774,190 → 387,095 → 1,161,286 → 580,643 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage137,633,700%

1,376,337% as a decimal13,763.37

1,376,337% of 1001,376,337

1,376,337% of 1,00013,763,370

As a fraction of 1001,376,337/100

Read another way

As seconds15 days, 22 hours and 18 minutes

As bytes1.313 MiB

As a 24-bit colour#150051

Keep nerding

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