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Number

3,229

3,229 is a prime, odd.

3,229 (three thousand two hundred twenty-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 MMMCCXXIX and in binary, 110010011101.

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

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
16
Digit product
108
Digital root
7
Palindrome
No
Bit width
12 bits
Reversed
9,223
Recamán's sequence
a(6,890) = 3,229
Square (n²)
10,426,441
Cube (n³)
33,666,977,989
Divisor count
2
σ(n) — sum of divisors
3,230
φ(n) — Euler's totient
3,228

Primality

3,229 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 3229
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 3,229)
1 × 3229
First multiples
3,229 · 6,458 (double) · 9,687 · 12,916 · 16,145 · 19,374 · 22,603 · 25,832 · 29,061 · 32,290

Sums & aliquot sequence

As a sum of two squares: 27² + 50²
As consecutive integers: 1,614 + 1,615

Continued fraction of √n

√3,229 = [56; (1, 4, 1, 2, 4, 5, 5, 2, 27, 1, 21, 1, 3, 3, 1, 21, 1, 27, 2, 5, 5, 4, 2, 1, …)]

Period length 27 — the block in parentheses repeats forever.

Representations

In words
three thousand two hundred twenty-nine
Ordinal
3229th
Roman numeral
MMMCCXXIX
Binary
110010011101
Octal
6235
Hexadecimal
0xC9D
Base64
DJ0=
One's complement
62,306 (16-bit)
Scientific notation
3.229 × 10³
As a duration
3,229 s = 53 minutes, 49 seconds
In other bases
ternary (3) 11102121
quaternary (4) 302131
quinary (5) 100404
senary (6) 22541
septenary (7) 12262
nonary (9) 4377
undecimal (11) 2476
duodecimal (12) 1a51
tridecimal (13) 1615
tetradecimal (14) 1269
pentadecimal (15) e54

As an angle

3,229° = 8 × 360° + 349°
349° ≈ 6.091 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵γσκθʹ
Mayan (base 20)
𝋨·𝋡·𝋩
Chinese
三千二百二十九
Chinese (financial)
參仟貳佰貳拾玖
In other modern scripts
Eastern Arabic ٣٢٢٩ Devanagari ३२२९ Bengali ৩২২৯ Tamil ௩௨௨௯ Thai ๓๒๒๙ Tibetan ༣༢༢༩ Khmer ៣២២៩ Lao ໓໒໒໙ Burmese ၃၂၂၉

Digit at this position in famous constants

π — Pi (π)
Digit 3,229 = 6
e — Euler's number (e)
Digit 3,229 = 9
φ — Golden ratio (φ)
Digit 3,229 = 6
√2 — Pythagoras's (√2)
Digit 3,229 = 5
ln 2 — Natural log of 2
Digit 3,229 = 0
γ — Euler-Mascheroni (γ)
Digit 3,229 = 3

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 3,221 (gap of 8)
  • Next prime: 3,251 (gap of 22)
Unicode codepoint
Kannada Letter Jha
U+0C9D
Other letter (Lo)

UTF-8 encoding: E0 B2 9D (3 bytes).

Hex color
#000C9D
RGB(0, 12, 157)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.12.157.

Address
0.0.12.157
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.12.157

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

Musical pitch

Heard as a frequency, 3,229 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯7 (3322.4 Hz, -49¢ — about midway to G7)
  • Scientific pitch (C4 = 256 Hz): G♯7 (3251 Hz, -12¢)
  • Baroque pitch (A4 = 415 Hz): A7 (3320 Hz, -48¢ — about midway to G♯7)
Position in π

The digit sequence 3229 first appears in π at position 6,571 of the decimal expansion (the 6,571ordinal-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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.