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Number

5,081

5,081 is a prime, odd.

5,081 (five thousand eighty-one) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x13D9.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
13 bits
Reversed
1,805
Recamán's sequence
a(2,162) = 5,081
Square (n²)
25,816,561
Cube (n³)
131,173,946,441
Divisor count
2
σ(n) — sum of divisors
5,082
φ(n) — Euler's totient
5,080

Primality

5,081 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 5081
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 5,081)
1 × 5081
First multiples
5,081 · 10,162 (double) · 15,243 · 20,324 · 25,405 · 30,486 · 35,567 · 40,648 · 45,729 · 50,810

Sums & aliquot sequence

As a sum of two squares: 40² + 59²
As consecutive integers: 2,540 + 2,541

Continued fraction of √n

√5,081 = [71; (3, 1, 1, 3, 1, 7, 1, 1, 1, 1, 7, 1, 3, 1, 1, 3, 142)]

Period length 17 — the block in parentheses repeats forever.

Representations

In words
five thousand eighty-one
Ordinal
5081st
Binary
1001111011001
Octal
11731
Hexadecimal
0x13D9
Base64
E9k=
One's complement
60,454 (16-bit)
Scientific notation
5.081 × 10³
As a duration
5,081 s = 1 hour, 24 minutes, 41 seconds
In other bases
ternary (3) 20222012
quaternary (4) 1033121
quinary (5) 130311
senary (6) 35305
septenary (7) 20546
nonary (9) 6865
undecimal (11) 38aa
duodecimal (12) 2b35
tridecimal (13) 240b
tetradecimal (14) 1bcd
pentadecimal (15) 178b

As an angle

5,081° = 14 × 360° + 41°
41° ≈ 0.716 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵επαʹ
Mayan (base 20)
𝋬·𝋮·𝋡
Chinese
五千零八十一
Chinese (financial)
伍仟零捌拾壹
In other modern scripts
Eastern Arabic ٥٠٨١ Devanagari ५०८१ Bengali ৫০৮১ Tamil ௫௦௮௧ Thai ๕๐๘๑ Tibetan ༥༠༨༡ Khmer ៥០៨១ Lao ໕໐໘໑ Burmese ၅၀၈၁

Digit at this position in famous constants

π — Pi (π)
Digit 5,081 = 8
e — Euler's number (e)
Digit 5,081 = 5
φ — Golden ratio (φ)
Digit 5,081 = 9
√2 — Pythagoras's (√2)
Digit 5,081 = 7
ln 2 — Natural log of 2
Digit 5,081 = 1
γ — Euler-Mascheroni (γ)
Digit 5,081 = 8

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 5,077 (gap of 4)
  • Next prime: 5,087 (gap of 6)

Pair status: cousin with 5077, sexy with 5087.

Unicode codepoint
Cherokee Letter Do
U+13D9
Uppercase letter (Lu)

UTF-8 encoding: E1 8F 99 (3 bytes).

Hex color
#0013D9
RGB(0, 19, 217)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.19.217.

Address
0.0.19.217
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.19.217

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Musical pitch

Heard as a frequency, 5,081 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D♯8 (4978 Hz, +35¢)
  • Scientific pitch (C4 = 256 Hz): E8 (5160.6 Hz, -27¢)
  • Baroque pitch (A4 = 415 Hz): E8 (4974.4 Hz, +37¢)
Position in π

The digit sequence 5081 first appears in π at position 3,205 of the decimal expansion (the 3,205ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.