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Number

6,967

6,967 is a prime, odd.

6,967 (six thousand nine hundred sixty-seven) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1B37.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Left-Truncatable Prime Odious Number Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
28
Digit product
2,268
Digital root
1
Palindrome
No
Bit width
13 bits
Reversed
7,696
Recamán's sequence
a(52,945) = 6,967
Square (n²)
48,539,089
Cube (n³)
338,171,833,063
Divisor count
2
σ(n) — sum of divisors
6,968
φ(n) — Euler's totient
6,966

Primality

6,967 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 6967
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 6,967)
1 × 6967
First multiples
6,967 · 13,934 (double) · 20,901 · 27,868 · 34,835 · 41,802 · 48,769 · 55,736 · 62,703 · 69,670

Sums & aliquot sequence

As consecutive integers: 3,483 + 3,484

Continued fraction of √n

√6,967 = [83; (2, 7, 2, 4, 1, 1, 2, 3, 1, 1, 2, 1, 1, 8, 1, 2, 3, 1, 14, 2, 2, 6, 55, 2, …)]

Representations

In words
six thousand nine hundred sixty-seven
Ordinal
6967th
Binary
1101100110111
Octal
15467
Hexadecimal
0x1B37
Base64
Gzc=
One's complement
58,568 (16-bit)
Scientific notation
6.967 × 10³
As a duration
6,967 s = 1 hour, 56 minutes, 7 seconds
In other bases
ternary (3) 100120001
quaternary (4) 1230313
quinary (5) 210332
senary (6) 52131
septenary (7) 26212
nonary (9) 10501
undecimal (11) 5264
duodecimal (12) 4047
tridecimal (13) 322c
tetradecimal (14) 2779
pentadecimal (15) 20e7
Palindromic in base 9

As an angle

6,967° = 19 × 360° + 127°
127° ≈ 2.217 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϛϡξζʹ
Mayan (base 20)
𝋱·𝋨·𝋧
Chinese
六千九百六十七
Chinese (financial)
陸仟玖佰陸拾柒
In other modern scripts
Eastern Arabic ٦٩٦٧ Devanagari ६९६७ Bengali ৬৯৬৭ Tamil ௬௯௬௭ Thai ๖๙๖๗ Tibetan ༦༩༦༧ Khmer ៦៩៦៧ Lao ໖໙໖໗ Burmese ၆၉၆၇

Digit at this position in famous constants

π — Pi (π)
Digit 6,967 = 9
e — Euler's number (e)
Digit 6,967 = 2
φ — Golden ratio (φ)
Digit 6,967 = 7
√2 — Pythagoras's (√2)
Digit 6,967 = 5
ln 2 — Natural log of 2
Digit 6,967 = 8
γ — Euler-Mascheroni (γ)
Digit 6,967 = 3

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 6,961 (gap of 6)
  • Next prime: 6,971 (gap of 4)

Pair status: cousin with 6971, sexy with 6961.

Unicode codepoint
Balinese Vowel Sign Ulu Sari
U+1B37
Non-spacing mark (Mn)

UTF-8 encoding: E1 AC B7 (3 bytes).

Hex color
#001B37
RGB(0, 27, 55)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.27.55.

Address
0.0.27.55
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.27.55

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

Musical pitch

Heard as a frequency, 6,967 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A8 (7040 Hz, -18¢)
  • Scientific pitch (C4 = 256 Hz): A8 (6888.6 Hz, +20¢)
  • Baroque pitch (A4 = 415 Hz): A♯8 (7034.8 Hz, -17¢)
Position in π

The digit sequence 6967 first appears in π at position 23,792 of the decimal expansion (the 23,792ordinal-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.