Recognised as Number

1,337,966

Positive
Even
Composite
7 digits

1,337,966 is an even 7-digit integer and a composite number. It has 8 divisors and a digital root of 8.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value1,337,966

Digit count7

Digit sum35

Digit product20,412

Multiplicative persistence2times the digit product can be taken before one digit is left

Digital root8repeated digit sum

PalindromicNoreads differently backwards

Happy numberNosquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation2 × 7 × 95,569

Distinct prime factors32, 7, 95,569

Number of divisors8

Sum of divisors σ(n)2,293,680

Aliquot sum955,714sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)573,408integers below n that share no factor with it

Carmichael function λ(n)95,568the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 573,408

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

SquarefreeYesno repeated prime factor

All divisors1, 2, 7, 14, 95,569, 191,138, 668,983, 1,337,9668 in total

Arithmetic

Previous number1,337,965

Next number1,337,967

Double2,675,932

Half668,983

Square1,790,153,017,156

Cube2,395,163,871,752,144,696

Square root1,156.704802445≈irrational, shown to 9 decimal places

Cube root110.191567015≈

Negation-1,337,966

Reciprocal7.47403148 × 10^-7≈

Representations

Decimal1,337,966

Binary10100011010100110111021 bits

Octal5065156

Hexadecimal146A6E

Base 36SODQ

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

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

Ordinalone million, three hundred and thirty-seven thousand, nine hundred and sixty-sixth

Scientific notation1.337966 × 10^6

Engineering notation1.337966 × 10^6

In other bases

Ternary2111222100022base 3; the most digit-efficient integer base after e: 13 digits

Quinary320303331base 5; one hand: 9 digits

Septenary14241530base 7: 8 digits

Nonary2458308base 9; each digit is two ternary digits: 7 digits

Duodecimal546352base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits

Vigesimal874i6base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits

Sexagesimal6:11:39:26base 60; Babylonian, and still how an hour and a circle are divided: 4 digits

Balanced ternary10TTT00T10010Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary101011011111110110010base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

00000000000101000110101001101110

Bit length21 bitsto write the magnitude

Set bits11the population count, or Hamming weight

Zero bits10within that length

Bit parityodd11 set bits, so odd; not the same as the number itself being even

Highest set bitbit 20worth 1,048,576

Lowest set bitbit 11 trailing zero

Power of twoNo

Bytes314 6a 6e

Gray code111100101111101011001n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

32-bit00000000000101000110101001101110

64-bit0000000000000000000000000000000000000000000101000110101001101110

One's complement11111111111010111001010110010001at 32 bits, every bit flipped

Bits reversed01110110010101100010100000000000at 32 bits

Rotated left by 100000000001010001101010011011100at 32 bits, wrapping

Shifted left by 11010001101010011011100= 2,675,932, no wrap

Shifted right by 110100011010100110111= 668,983, discarding the low bit

These bits as a double6.61043036 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime1,337,969+3

Previous prime1,337,911−55

Distance to nearest prime3

Nearest square below1,336,336

Nearest square above1,338,649

Powers & multiples

1,337,966 to the power 21,790,153,017,156

1,337,966 to the power 32,395,163,871,752,144,696

1,337,966 to the power 43,204,647,824,832,730,030,328,336

1,337,966 to the power 54,287,709,831,600,148,467,758,282,404,576

First ten multiples1,337,966, 2,675,932, 4,013,898, 5,351,864, 6,689,830, 8,027,796, 9,365,762, 10,703,728, 12,041,694, 13,379,660

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

Divisibility tests

Divisible by 2Yes

Divisible by 3No, remainder 2

Divisible by 4No, remainder 2

Divisible by 5No, remainder 1

Divisible by 6No, remainder 2

Divisible by 7Yes

Divisible by 8No, remainder 6

Divisible by 9No, remainder 8

Divisible by 10No, remainder 6

Divisible by 11No, remainder 3

Divisible by 12No, remainder 2

Divisible by 100No, remainder 66

Collatz (3n + 1) trajectory

Steps to reach 1230the total stopping time

Highest value reached29,327,66821× the starting value

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

First steps1,337,966 → 668,983 → 2,006,950 → 1,003,475 → 3,010,426 → 1,505,213 → 4,515,640 → 2,257,820 → 1,128,910 → 564,455 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage133,796,600%

1,337,966% as a decimal13,379.66

1,337,966% of 1001,337,966

1,337,966% of 1,00013,379,660

As a fraction of 1001,337,966/100

Read another way

As seconds15 days, 11 hours and 39 minutes

As bytes1.276 MiB

As a 24-bit colour#146A6E

Keep nerding

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