Recognised as Number

1,356,772

Positive
Even
Composite
7 digits

1,356,772 is an even 7-digit integer and a composite number. It has 12 divisors and a digital root of 4.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value1,356,772

Digit count7

Digit sum31

Digit product8,820

Multiplicative persistence2times 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 × 41 × 8,273

Distinct prime factors32, 41, 8,273

Number of divisors12

Sum of divisors σ(n)2,432,556

Aliquot sum1,075,784sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)661,760integers below n that share no factor with it

Carmichael function λ(n)41,360the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 661,760

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

SquarefreeNohas a repeated prime factor

All divisors1, 2, 4, 41, 82, 164, 8,273, 16,546, 33,092, 339,193, 678,386, 1,356,77212 in total

Arithmetic

Previous number1,356,771

Next number1,356,773

Double2,713,544

Half678,386

Square1,840,830,259,984

Cube2,497,586,953,499,011,648

Square root1,164.805563174≈irrational, shown to 9 decimal places

Cube root110.705438746≈

Negation-1,356,772

Reciprocal7.37043512 × 10^-7≈

Representations

Decimal1,356,772

Binary10100101100111110010021 bits

Octal5131744

Hexadecimal14B3E4

Base 36T2W4

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

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

Ordinalone million, three hundred and fifty-six thousand, seven hundred and seventy-second

Scientific notation1.356772 × 10^6

Engineering notation1.356772 × 10^6

In other bases

Ternary2112221010211base 3; the most digit-efficient integer base after e: 13 digits

Quinary321404042base 5; one hand: 9 digits

Septenary14350414base 7: 8 digits

Nonary2487124base 9; each digit is two ternary digits: 7 digits

Duodecimal555204base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits

Vigesimal89bicbase 20; hands and feet, and the Mayan and Yoruba systems: 5 digits

Sexagesimal6:16:52:52base 60; Babylonian, and still how an hour and a circle are divided: 4 digits

Balanced ternary10TT00T1011T11digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary101011111010000100100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

00000000000101001011001111100100

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 22 trailing zeros

Power of twoNo

Bytes314 b3 e4

Gray code111101110101000010110n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

32-bit00000000000101001011001111100100

64-bit0000000000000000000000000000000000000000000101001011001111100100

One's complement11111111111010110100110000011011at 32 bits, every bit flipped

Bits reversed00100111110011010010100000000000at 32 bits

Rotated left by 100000000001010010110011111001000at 32 bits, wrapping

Shifted left by 11010010110011111001000= 2,713,544, no wrap

Shifted right by 110100101100111110010= 678,386, discarding the low bit

These bits as a double6.70334434 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime1,356,811+39

Previous prime1,356,763−9

Distance to nearest prime9

Nearest square below1,354,896

Nearest square above1,357,225

Powers & multiples

1,356,772 to the power 21,840,830,259,984

1,356,772 to the power 32,497,586,953,499,011,648

1,356,772 to the power 43,388,656,046,072,761,031,680,256

1,356,772 to the power 54,597,633,640,942,232,130,474,884,293,632

First ten multiples1,356,772, 2,713,544, 4,070,316, 5,427,088, 6,783,860, 8,140,632, 9,497,404, 10,854,176, 12,210,948, 13,567,720

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 5No, remainder 2

Divisible by 6No, remainder 4

Divisible by 7No, remainder 4

Divisible by 8No, remainder 4

Divisible by 9No, remainder 4

Divisible by 10No, remainder 2

Divisible by 11No, remainder 10

Divisible by 12No, remainder 4

Divisible by 100No, remainder 72

Collatz (3n + 1) trajectory

Steps to reach 193the total stopping time

Highest value reached1,356,772

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

First steps1,356,772 → 678,386 → 339,193 → 1,017,580 → 508,790 → 254,395 → 763,186 → 381,593 → 1,144,780 → 572,390 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage135,677,200%

1,356,772% as a decimal13,567.72

1,356,772% of 1001,356,772

1,356,772% of 1,00013,567,720

As a fraction of 1001,356,772/100

Read another way

As seconds15 days, 16 hours and 52 minutes

As bytes1.294 MiB

As a 24-bit colour#14B3E4

Keep nerding

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