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Number

6,829

6,829 is a prime, odd.

6,829 (six thousand eight hundred twenty-nine) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1AAD.

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

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
25
Digit product
864
Digital root
7
Palindrome
No
Bit width
13 bits
Reversed
9,286
Recamán's sequence
a(26,686) = 6,829
Square (n²)
46,635,241
Cube (n³)
318,472,060,789
Divisor count
2
σ(n) — sum of divisors
6,830
φ(n) — Euler's totient
6,828

Primality

6,829 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 6829
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 6,829)
1 × 6829
First multiples
6,829 · 13,658 (double) · 20,487 · 27,316 · 34,145 · 40,974 · 47,803 · 54,632 · 61,461 · 68,290

Sums & aliquot sequence

As a sum of two squares: 30² + 77²
As consecutive integers: 3,414 + 3,415

Continued fraction of √n

√6,829 = [82; (1, 1, 1, 3, 5, 1, 1, 1, 2, 2, 1, 4, 54, 1, 7, 3, 1, 1, 4, 1, 3, 4, 1, 2, …)]

Representations

In words
six thousand eight hundred twenty-nine
Ordinal
6829th
Binary
1101010101101
Octal
15255
Hexadecimal
0x1AAD
Base64
Gq0=
One's complement
58,706 (16-bit)
Scientific notation
6.829 × 10³
As a duration
6,829 s = 1 hour, 53 minutes, 49 seconds
In other bases
ternary (3) 100100221
quaternary (4) 1222231
quinary (5) 204304
senary (6) 51341
septenary (7) 25624
nonary (9) 10327
undecimal (11) 5149
duodecimal (12) 3b51
tridecimal (13) 3154
tetradecimal (14) 26bb
pentadecimal (15) 2054

As an angle

6,829° = 18 × 360° + 349°
349° ≈ 6.091 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϛωκθʹ
Mayan (base 20)
𝋱·𝋡·𝋩
Chinese
六千八百二十九
Chinese (financial)
陸仟捌佰貳拾玖
In other modern scripts
Eastern Arabic ٦٨٢٩ Devanagari ६८२९ Bengali ৬৮২৯ Tamil ௬௮௨௯ Thai ๖๘๒๙ Tibetan ༦༨༢༩ Khmer ៦៨២៩ Lao ໖໘໒໙ Burmese ၆၈၂၉

Digit at this position in famous constants

π — Pi (π)
Digit 6,829 = 2
e — Euler's number (e)
Digit 6,829 = 4
φ — Golden ratio (φ)
Digit 6,829 = 7
√2 — Pythagoras's (√2)
Digit 6,829 = 6
ln 2 — Natural log of 2
Digit 6,829 = 1
γ — Euler-Mascheroni (γ)
Digit 6,829 = 7

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 6,827 (gap of 2)
  • Next prime: 6,833 (gap of 4)

Pair status: twin with 6827, cousin with 6833.

Unicode codepoint
Tai Tham Sign Caang
U+1AAD
Other punctuation (Po)

UTF-8 encoding: E1 AA AD (3 bytes).

Hex color
#001AAD
RGB(0, 26, 173)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.26.173.

Address
0.0.26.173
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.26.173

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

Musical pitch

Heard as a frequency, 6,829 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯8 (6644.9 Hz, +47¢ — about midway to A8)
  • Scientific pitch (C4 = 256 Hz): A8 (6888.6 Hz, -15¢)
  • Baroque pitch (A4 = 415 Hz): A8 (6640 Hz, +49¢ — about midway to A♯8)
Position in π

The digit sequence 6829 first appears in π at position 2,641 of the decimal expansion (the 2,641ordinal-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.