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Number

47,967

  • Positive
  • Odd
  • Composite
  • 5 digits

47,967 is an odd 5-digit integer and a composite number. It has 8 divisors and a digital root of 6.

Number properties

ParityOddnot divisible by 2
SignPositive
PrimalityComposite
Absolute value47,967
Digit count5
Digit sum33
Digital root6repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation3 × 59 × 271
Distinct prime factors33, 59, 271
Number of divisors8
Sum of divisors σ(n)65,280
Aliquot sum17,313sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)31,320integers below n that share no factor with it
SquarefreeYesno repeated prime factor
All divisors1, 3, 59, 177, 271, 813, 15,989, 47,9678 in total

Arithmetic

Previous number47,966
Next number47,968
Double95,934
Square root219.013698202irrational, shown to 9 decimal places
Cube root36.334081478
Negation-47,967
Reciprocal0.0000208477

Representations

Decimal47,967
Binary101110110101111116 bits
Octal135537
HexadecimalBB5F
Base 36110F
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsforty-seven thousand, nine hundred and sixty-seven
Ordinalforty-seven thousand, nine hundred and sixty-seventh
Scientific notation4.7967 × 10^4
Engineering notation47.967 × 10^3

Nearest landmarks

Next prime47,969+2
Previous prime47,963−4
Distance to nearest prime2
Nearest square below47,961
Nearest square above48,400

Powers & multiples

47,967 to the power 22,300,833,089
47,967 to the power 3110,364,060,780,063
47,967 to the power 45,293,832,903,437,281,921
47,967 to the power 5253,929,282,879,176,101,904,607
First ten multiples47,967, 95,934, 143,901, 191,868, 239,835, 287,802, 335,769, 383,736, 431,703, 479,670
Powers of twoBetween 2^15 (32,768) and 2^16 (65,536)

Divisibility tests

Divisible by 2No, remainder 1
Divisible by 3Yes
Divisible by 4No, remainder 3
Divisible by 5No, remainder 2
Divisible by 6No, remainder 3
Divisible by 7No, remainder 3
Divisible by 8No, remainder 7
Divisible by 9No, remainder 6
Divisible by 10No, remainder 7
Divisible by 11No, remainder 7
Divisible by 12No, remainder 3
Divisible by 100No, remainder 67

Collatz (3n + 1) trajectory

Steps to reach 1189the total stopping time
Highest value reached728,51215× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps47,967 → 143,902 → 71,951 → 215,854 → 107,927 → 323,782 → 161,891 → 485,674 → 242,837 → 728,512 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage4,796,700%
47,967% as a decimal479.67
47,967% of 10047,967
47,967% of 1,000479,670
As a fraction of 10047,967/100

Read another way

As bytes46.843 KiB
As a 24-bit colour#00BB5F

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Every value on this page was computed from “47967” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.