Number

3,089

3,089 is a prime, odd.

3,089 (three thousand eighty-nine) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in Roman numerals it is MMMLXXXIX and in binary, 110000010001.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Recamán's Sequence Self Number Sexy Prime Squarefree

Interestingness

★ ★ ★ ★ ★

10 notable facts · grade A

3,077 3,078 3,079 3,080 3,081 3,082 3,083 3,084 3,085 3,086 3,087 3,088 3,089 3,090 3,091 3,092 3,093 3,094 3,095 3,096 3,097 3,098 3,099 3,100 3,101

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 20
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 12 bits
Reversed: 9,803
Recamán's sequence: a(1,617) = 3,089
Square (n²): 9,541,921
Cube (n³): 29,474,993,969
Divisor count: 2
σ(n) — sum of divisors: 3,090
φ(n) — Euler's totient: 3,088

Primality

3,089 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 3089

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 3,089)

1 × 3089

First multiples

3,089 · 6,178 (double) · 9,267 · 12,356 · 15,445 · 18,534 · 21,623 · 24,712 · 27,801 · 30,890

Sums & aliquot sequence

As a sum of two squares: 8² + 55²

As consecutive integers: 1,544 + 1,545

Continued fraction of √n

√3,089 = [55; (1, 1, 2, 1, 2, 15, 1, 1, 21, 1, 2, 1, 1, 13, 3, 9, 1, 3, 1, 1, 5, 3, 2, 2, …)]

Period length 53 — the block in parentheses repeats forever.

Representations

In words: three thousand eighty-nine
Ordinal: 3089th
Roman numeral: MMMLXXXIX
Binary: 110000010001
Octal: 6021
Hexadecimal: 0xC11
Base64: DBE=
One's complement: 62,446 (16-bit)
Scientific notation: 3.089 × 10³
As a duration: 3,089 s = 51 minutes, 29 seconds

In other bases

ternary (3) 11020102

quaternary (4) 300101

quinary (5) 44324

senary (6) 22145

septenary (7) 12002

nonary (9) 4212

undecimal (11) 2359

duodecimal (12) 1955

tridecimal (13) 1538

tetradecimal (14) 11a9

pentadecimal (15) dae

As an angle

3,089° = 8 × 360° + 209°

209° ≈ 3.648 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵γπθʹ
Mayan (base 20): 𝋧·𝋮·𝋩
Chinese: 三千零八十九
Chinese (financial): 參仟零捌拾玖

In other modern scripts

Eastern Arabic ٣٠٨٩ Devanagari ३०८९ Bengali ৩০৮৯ Tamil ௩௦௮௯ Thai ๓๐๘๙ Tibetan ༣༠༨༩ Khmer ៣០៨៩ Lao ໓໐໘໙ Burmese ၃၀၈၉

Digit at this position in famous constants

π — Pi (π): Digit 3,089 = 5
e — Euler's number (e): Digit 3,089 = 8
φ — Golden ratio (φ): Digit 3,089 = 2
√2 — Pythagoras's (√2): Digit 3,089 = 9
ln 2 — Natural log of 2: Digit 3,089 = 8
γ — Euler-Mascheroni (γ): Digit 3,089 = 8

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 3,083 (gap of 6)
Next prime: 3,109 (gap of 20)

Pair status: sexy with 3083.

Hex color

#000C11

RGB(0, 12, 17)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.12.17.

Address: 0.0.12.17
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.12.17

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

Musical pitch

Heard as a frequency, 3,089 Hz is closest to:

Concert pitch (A4 = 440 Hz): G7 (3136 Hz, -26¢)
Scientific pitch (C4 = 256 Hz): G7 (3068.5 Hz, +12¢)
Baroque pitch (A4 = 415 Hz): G♯7 (3133.7 Hz, -25¢)

Position in π

The digit sequence 3089 first appears in π at position 3,621 of the decimal expansion (the 3,621ordinal-suffix:st 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.

Look up 3089 on Pi Search ↗