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Number

6,691

6,691 is a prime, odd.

6,691 (six thousand six hundred ninety-one) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1A23.

Arithmetic Number Cube-Free Deficient Number Evil Number Flippable Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
22
Digit product
324
Digital root
4
Palindrome
No
Bit width
13 bits
Reversed
1,966
Flips to (rotate 180°)
1,699
Recamán's sequence
a(11,825) = 6,691
Square (n²)
44,769,481
Cube (n³)
299,552,597,371
Divisor count
2
σ(n) — sum of divisors
6,692
φ(n) — Euler's totient
6,690

Primality

6,691 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 6691
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 6,691)
1 × 6691
First multiples
6,691 · 13,382 (double) · 20,073 · 26,764 · 33,455 · 40,146 · 46,837 · 53,528 · 60,219 · 66,910

Sums & aliquot sequence

As consecutive integers: 3,345 + 3,346

Continued fraction of √n

√6,691 = [81; (1, 3, 1, 26, 2, 6, 1, 17, 3, 4, 1, 1, 1, 2, 2, 1, 1, 2, 10, 1, 1, 12, 16, 3, …)]

Representations

In words
six thousand six hundred ninety-one
Ordinal
6691st
Binary
1101000100011
Octal
15043
Hexadecimal
0x1A23
Base64
GiM=
One's complement
58,844 (16-bit)
Scientific notation
6.691 × 10³
As a duration
6,691 s = 1 hour, 51 minutes, 31 seconds
In other bases
ternary (3) 100011211
quaternary (4) 1220203
quinary (5) 203231
senary (6) 50551
septenary (7) 25336
nonary (9) 10154
undecimal (11) 5033
duodecimal (12) 3a57
tridecimal (13) 3079
tetradecimal (14) 261d
pentadecimal (15) 1eb1

As an angle

6,691° = 18 × 360° + 211°
211° ≈ 3.683 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ϛχϟαʹ
Mayan (base 20)
𝋰·𝋮·𝋫
Chinese
六千六百九十一
Chinese (financial)
陸仟陸佰玖拾壹
In other modern scripts
Eastern Arabic ٦٦٩١ Devanagari ६६९१ Bengali ৬৬৯১ Tamil ௬௬௯௧ Thai ๖๖๙๑ Tibetan ༦༦༩༡ Khmer ៦៦៩១ Lao ໖໖໙໑ Burmese ၆၆၉၁

Digit at this position in famous constants

π — Pi (π)
Digit 6,691 = 5
e — Euler's number (e)
Digit 6,691 = 0
φ — Golden ratio (φ)
Digit 6,691 = 3
√2 — Pythagoras's (√2)
Digit 6,691 = 4
ln 2 — Natural log of 2
Digit 6,691 = 5
γ — Euler-Mascheroni (γ)
Digit 6,691 = 8

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 6,689 (gap of 2)
  • Next prime: 6,701 (gap of 10)

Pair status: twin with 6689.

Unicode codepoint
Tai Tham Letter Low Ka
U+1A23
Other letter (Lo)

UTF-8 encoding: E1 A8 A3 (3 bytes).

Hex color
#001A23
RGB(0, 26, 35)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.26.35.

Address
0.0.26.35
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.26.35

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

Musical pitch

Heard as a frequency, 6,691 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯8 (6644.9 Hz, +12¢)
  • Scientific pitch (C4 = 256 Hz): G♯8 (6502 Hz, +50¢ — about midway to A8)
  • Baroque pitch (A4 = 415 Hz): A8 (6640 Hz, +13¢)
Position in π

The digit sequence 6691 first appears in π at position 892 of the decimal expansion (the 892ordinal-suffix:nd 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.