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Number

6,689

6,689 is a prime, odd.

Arithmetic Number Chen Prime Deficient Number Flippable Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Properties

Parity
Odd
Digit count
4
Digit sum
29
Digit product
2,592
Digital root
2
Palindrome
No
Bit width
13 bits
Reversed
9,866
Flips to (rotate 180°)
6,899
Recamán's sequence
a(11,829) = 6,689
Square (n²)
44,742,721
Cube (n³)
299,284,060,769
Divisor count
2
σ(n) — sum of divisors
6,690
φ(n) — Euler's totient
6,688

Primality

6,689 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 6689
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 6,689)
1 × 6689
First multiples
6,689 · 13,378 (double) · 20,067 · 26,756 · 33,445 · 40,134 · 46,823 · 53,512 · 60,201 · 66,890

Sums & aliquot sequence

As a sum of two squares: 17² + 80²
As consecutive integers: 3,344 + 3,345

Representations

In words
six thousand six hundred eighty-nine
Ordinal
6689th
Binary
1101000100001
Octal
15041
Hexadecimal
0x1A21
Base64
GiE=
One's complement
58,846 (16-bit)
In other bases
ternary (3) 100011202
quaternary (4) 1220201
quinary (5) 203224
senary (6) 50545
septenary (7) 25334
nonary (9) 10152
undecimal (11) 5031
duodecimal (12) 3a55
tridecimal (13) 3077
tetradecimal (14) 261b
pentadecimal (15) 1eae

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϛχπθʹ
Mayan (base 20)
𝋰·𝋮·𝋩
Chinese
六千六百八十九
Chinese (financial)
陸仟陸佰捌拾玖
In other modern scripts
Eastern Arabic ٦٦٨٩ Devanagari ६६८९ Bengali ৬৬৮৯ Tamil ௬௬௮௯ Thai ๖๖๘๙ Tibetan ༦༦༨༩ Khmer ៦៦៨៩ Lao ໖໖໘໙ Burmese ၆၆၈၉

Digit at this position in famous constants

π — Pi (π)
Digit 6,689 = 5
e — Euler's number (e)
Digit 6,689 = 3
φ — Golden ratio (φ)
Digit 6,689 = 6
√2 — Pythagoras's (√2)
Digit 6,689 = 7
ln 2 — Natural log of 2
Digit 6,689 = 5
γ — Euler-Mascheroni (γ)
Digit 6,689 = 8

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 6,679 (gap of 10)
  • Next prime: 6,691 (gap of 2)

Pair status: twin with 6691.

Unicode codepoint
Tai Tham Letter High Kha
U+1A21
Other letter (Lo)

UTF-8 encoding: E1 A8 A1 (3 bytes).

Hex color
#001A21
RGB(0, 26, 33)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.26.33.

Address
0.0.26.33
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.26.33

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

Position in π

The digit sequence 6689 first appears in π at position 13,351 of the decimal expansion (the 13,351ordinal-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.