Number

3,331

3,331 is a prime, odd.

3,331 (three thousand three hundred thirty-one) 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 MMMCCCXXXI and in binary, 110100000011.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

3,319 3,320 3,321 3,322 3,323 3,324 3,325 3,326 3,327 3,328 3,329 3,330 3,331 3,332 3,333 3,334 3,335 3,336 3,337 3,338 3,339 3,340 3,341 3,342 3,343

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Properties

Parity: Odd
Digit count: 4
Digit sum: 10
Digit product: 27
Digital root: 1
Palindrome: No
Bit width: 12 bits
Reversed: 1,333
Recamán's sequence: a(6,686) = 3,331
Square (n²): 11,095,561
Cube (n³): 36,959,313,691
Divisor count: 2
σ(n) — sum of divisors: 3,332
φ(n) — Euler's totient: 3,330

Primality

3,331 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 3331

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 3,331)

1 × 3331

First multiples

3,331 · 6,662 (double) · 9,993 · 13,324 · 16,655 · 19,986 · 23,317 · 26,648 · 29,979 · 33,310

Sums & aliquot sequence

As consecutive integers: 1,665 + 1,666

Continued fraction of √n

√3,331 = [57; (1, 2, 1, 1, 37, 1, 9, 1, 1, 12, 3, 3, 5, 1, 3, 2, 3, 3, 1, 1, 3, 1, 6, 1, …)]

Representations

In words: three thousand three hundred thirty-one
Ordinal: 3331st
Roman numeral: MMMCCCXXXI
Binary: 110100000011
Octal: 6403
Hexadecimal: 0xD03
Base64: DQM=
One's complement: 62,204 (16-bit)
Scientific notation: 3.331 × 10³
As a duration: 3,331 s = 55 minutes, 31 seconds

In other bases

ternary (3) 11120101

quaternary (4) 310003

quinary (5) 101311

senary (6) 23231

septenary (7) 12466

nonary (9) 4511

undecimal (11) 2559

duodecimal (12) 1b17

tridecimal (13) 1693

tetradecimal (14) 12dd

pentadecimal (15) ec1

As an angle

3,331° = 9 × 360° + 91°

91° ≈ 1.588 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺
Greek (Milesian): ͵γτλαʹ
Mayan (base 20): 𝋨·𝋦·𝋫
Chinese: 三千三百三十一
Chinese (financial): 參仟參佰參拾壹

In other modern scripts

Eastern Arabic ٣٣٣١ Devanagari ३३३१ Bengali ৩৩৩১ Tamil ௩௩௩௧ Thai ๓๓๓๑ Tibetan ༣༣༣༡ Khmer ៣៣៣១ Lao ໓໓໓໑ Burmese ၃၃၃၁

Digit at this position in famous constants

π — Pi (π): Digit 3,331 = 0
e — Euler's number (e): Digit 3,331 = 3
φ — Golden ratio (φ): Digit 3,331 = 6
√2 — Pythagoras's (√2): Digit 3,331 = 6
ln 2 — Natural log of 2: Digit 3,331 = 1
γ — Euler-Mascheroni (γ): Digit 3,331 = 4

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 3,329 (gap of 2)
Next prime: 3,343 (gap of 12)

Pair status: twin with 3329.

Unicode codepoint

ഃ

Malayalam Sign Visarga

U+0D03

Spacing combining mark (Mc)

UTF-8 encoding: E0 B4 83 (3 bytes).

Lookup U+0D03 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000D03

RGB(0, 13, 3)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.13.3.

Address: 0.0.13.3
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.13.3

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

Musical pitch

Heard as a frequency, 3,331 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯7 (3322.4 Hz, +4¢)
Scientific pitch (C4 = 256 Hz): G♯7 (3251 Hz, +42¢)
Baroque pitch (A4 = 415 Hz): A7 (3320 Hz, +6¢)

Position in π

The digit sequence 3331 first appears in π at position 8,828 of the decimal expansion (the 8,828ordinal-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.

Look up 3331 on Pi Search ↗