Recognised as Number

6,772,013

Positive
Odd
Prime
7 digits

6,772,013 is an odd 7-digit integer and a prime number. It has 2 divisors and a digital root of 8.

Number properties

ParityOddnot divisible by 2

SignPositive

PrimalityPrime

Absolute value6,772,013

Digit count7

Digit sum26

Digit product0zero, because one of the digits is zero

Multiplicative persistence1times 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 factorisation6,772,013

Distinct prime factors16,772,013

Number of divisors2

Sum of divisors σ(n)6,772,014

Aliquot sum1sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)6,772,012integers below n that share no factor with it

Carmichael function λ(n)6,772,012the smallest exponent with aˣ ≡ 1 for every unit coprime to n

Möbius function μ(n)−11 distinct prime factor, an odd number of them

SquarefreeYesno repeated prime factor

All divisors1, 6,772,0132 in total

Arithmetic

Previous number6,772,012

Next number6,772,014

Double13,544,026

Half3,386,006.5

Square45,860,160,072,169

Cube310,565,600,190,809,406,197

Square root2,602.309166875≈irrational, shown to 9 decimal places

Cube root189.193376353≈

Negation-6,772,013

Reciprocal1.4766658 × 10^-7≈

Representations

Decimal6,772,013

Binary1100111010101010010110123 bits

Octal31652455

Hexadecimal67552D

Base 36415BH

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

In wordssix million, seven hundred and seventy-two thousand and thirteen

Ordinalsix million, seven hundred and seventy-two thousand and thirteenth

Scientific notation6.772013 × 10^6

Engineering notation6.772013 × 10^6

In other bases

Ternary110202001110022base 3; the most digit-efficient integer base after e: 15 digits

Quinary3213201023base 5; one hand: 10 digits

Septenary111363323base 7: 9 digits

Nonary13661408base 9; each digit is two ternary digits: 8 digits

Duodecimal2326ba5base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 7 digits

Vigesimal226a0dbase 20; hands and feet, and the Mayan and Yoruba systems: 6 digits

Sexagesimal31:21:6:53base 60; Babylonian, and still how an hour and a circle are divided: 4 digits

Balanced ternary111T1T00111010Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary1101110110101010101111101base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

00000000011001110101010100101101

Bit length23 bitsto write the magnitude

Set bits13the population count, or Hamming weight

Zero bits10within that length

Bit parityodd13 set bits, so odd; not the same as the number itself being odd

Highest set bitbit 22worth 4,194,304

Lowest set bitbit 00 trailing zeros

Power of twoNo

Bytes367 55 2d

Gray code10101001111111110111011n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

32-bit00000000011001110101010100101101

64-bit0000000000000000000000000000000000000000011001110101010100101101

One's complement11111111100110001010101011010010at 32 bits, every bit flipped

Bits reversed10110100101010101110011000000000at 32 bits

Rotated left by 100000000110011101010101001011010at 32 bits, wrapping

Shifted left by 1110011101010101001011010= 13,544,026, no wrap

Shifted right by 11100111010101010010110= 3,386,006, discarding the low bit

These bits as a double3.34581898 × 10^-317≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime6,772,033+20

Previous prime6,771,979−34

Distance to nearest prime0, it is prime

Nearest square below6,770,404

Nearest square above6,775,609

Powers & multiples

6,772,013 to the power 245,860,160,072,169

6,772,013 to the power 3310,565,600,190,809,406,197

6,772,013 to the power 42,103,154,281,844,963,779,288,364,561

6,772,013 to the power 514,242,588,137,659,758,697,869,935,555,831,293

First ten multiples6,772,013, 13,544,026, 20,316,039, 27,088,052, 33,860,065, 40,632,078, 47,404,091, 54,176,104, 60,948,117, 67,720,130

Powers of twoBetween 2^22 (4,194,304) and 2^23 (8,388,608)

Divisibility tests

Divisible by 2No, remainder 1

Divisible by 3No, remainder 2

Divisible by 4No, remainder 1

Divisible by 5No, remainder 3

Divisible by 6No, remainder 5

Divisible by 7No, remainder 3

Divisible by 8No, remainder 5

Divisible by 9No, remainder 8

Divisible by 10No, remainder 3

Divisible by 11No, remainder 6

Divisible by 12No, remainder 5

Divisible by 100No, remainder 13

Collatz (3n + 1) trajectory

Steps to reach 1134the total stopping time

Highest value reached20,316,0403× the starting value

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

First steps6,772,013 → 20,316,040 → 10,158,020 → 5,079,010 → 2,539,505 → 7,618,516 → 3,809,258 → 1,904,629 → 5,713,888 → 2,856,944 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage677,201,300%

6,772,013% as a decimal67,720.13

6,772,013% of 1006,772,013

6,772,013% of 1,00067,720,130

As a fraction of 1006,772,013/100

Read another way

As seconds78 days, 9 hours and 6 minutes

As bytes6.458 MiB

As a 24-bit colour#67552D

Keep nerding

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