Number

3,299

3,299 is a prime, odd.

3,299 (three thousand two hundred ninety-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 MMMCCXCIX and in binary, 110011100011.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Recamán's Sequence Sophie Germain Prime Squarefree Twin Prime

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

3,287 3,288 3,289 3,290 3,291 3,292 3,293 3,294 3,295 3,296 3,297 3,298 3,299 3,300 3,301 3,302 3,303 3,304 3,305 3,306 3,307 3,308 3,309 3,310 3,311

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 23
Digit product: 486
Digital root: 5
Palindrome: No
Bit width: 12 bits
Reversed: 9,923
Recamán's sequence: a(6,750) = 3,299
Square (n²): 10,883,401
Cube (n³): 35,904,339,899
Divisor count: 2
σ(n) — sum of divisors: 3,300
φ(n) — Euler's totient: 3,298

Primality

3,299 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 3299

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 3,299)

1 × 3299

First multiples

3,299 · 6,598 (double) · 9,897 · 13,196 · 16,495 · 19,794 · 23,093 · 26,392 · 29,691 · 32,990

Sums & aliquot sequence

As consecutive integers: 1,649 + 1,650

Continued fraction of √n

√3,299 = [57; (2, 3, 2, 6, 3, 7, 1, 7, 1, 22, 11, 2, 3, 1, 15, 1, 1, 1, 2, 1, 2, 1, 1, 4, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words: three thousand two hundred ninety-nine
Ordinal: 3299th
Roman numeral: MMMCCXCIX
Binary: 110011100011
Octal: 6343
Hexadecimal: 0xCE3
Base64: DOM=
One's complement: 62,236 (16-bit)
Scientific notation: 3.299 × 10³
As a duration: 3,299 s = 54 minutes, 59 seconds

In other bases

ternary (3) 11112012

quaternary (4) 303203

quinary (5) 101144

senary (6) 23135

septenary (7) 12422

nonary (9) 4465

undecimal (11) 252a

duodecimal (12) 1aab

tridecimal (13) 166a

tetradecimal (14) 12b9

pentadecimal (15) e9e

Palindromic in base 15

As an angle

3,299° = 9 × 360° + 59°

59° ≈ 1.03 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵γσϟθʹ
Mayan (base 20): 𝋨·𝋤·𝋳
Chinese: 三千二百九十九
Chinese (financial): 參仟貳佰玖拾玖

In other modern scripts

Eastern Arabic ٣٢٩٩ Devanagari ३२९९ Bengali ৩২৯৯ Tamil ௩௨௯௯ Thai ๓๒๙๙ Tibetan ༣༢༩༩ Khmer ៣២៩៩ Lao ໓໒໙໙ Burmese ၃၂၉၉

Digit at this position in famous constants

π — Pi (π): Digit 3,299 = 0
e — Euler's number (e): Digit 3,299 = 5
φ — Golden ratio (φ): Digit 3,299 = 1
√2 — Pythagoras's (√2): Digit 3,299 = 3
ln 2 — Natural log of 2: Digit 3,299 = 4
γ — Euler-Mascheroni (γ): Digit 3,299 = 5

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 3,271 (gap of 28)
Next prime: 3,301 (gap of 2)

Pair status: twin with 3301.

Unicode codepoint

ೣ

Kannada Vowel Sign Vocalic Ll

U+0CE3

Non-spacing mark (Mn)

UTF-8 encoding: E0 B3 A3 (3 bytes).

Lookup U+0CE3 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000CE3

RGB(0, 12, 227)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.12.227.

Address: 0.0.12.227
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.12.227

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

Musical pitch

Heard as a frequency, 3,299 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯7 (3322.4 Hz, -12¢)
Scientific pitch (C4 = 256 Hz): G♯7 (3251 Hz, +25¢)
Baroque pitch (A4 = 415 Hz): A7 (3320 Hz, -11¢)

Position in π

The digit sequence 3299 first appears in π at position 21,169 of the decimal expansion (the 21,169ordinal-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 3299 on Pi Search ↗