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Number

6,947

6,947 is a prime, odd.

6,947 (six thousand nine hundred forty-seven) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1B23.

Arithmetic Number Chen Prime Cube-Free Deficient Number Left-Truncatable Prime Odious Number Pernicious Number Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
26
Digit product
1,512
Digital root
8
Palindrome
No
Bit width
13 bits
Reversed
7,496
Recamán's sequence
a(52,985) = 6,947
Square (n²)
48,260,809
Cube (n³)
335,267,840,123
Divisor count
2
σ(n) — sum of divisors
6,948
φ(n) — Euler's totient
6,946

Primality

6,947 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 6947
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 6,947)
1 × 6947
First multiples
6,947 · 13,894 (double) · 20,841 · 27,788 · 34,735 · 41,682 · 48,629 · 55,576 · 62,523 · 69,470

Sums & aliquot sequence

As consecutive integers: 3,473 + 3,474

Continued fraction of √n

√6,947 = [83; (2, 1, 6, 1, 1, 2, 1, 1, 1, 1, 3, 3, 1, 3, 1, 2, 1, 5, 83, 5, 1, 2, 1, 3, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
six thousand nine hundred forty-seven
Ordinal
6947th
Binary
1101100100011
Octal
15443
Hexadecimal
0x1B23
Base64
GyM=
One's complement
58,588 (16-bit)
Scientific notation
6.947 × 10³
As a duration
6,947 s = 1 hour, 55 minutes, 47 seconds
In other bases
ternary (3) 100112022
quaternary (4) 1230203
quinary (5) 210242
senary (6) 52055
septenary (7) 26153
nonary (9) 10468
undecimal (11) 5246
duodecimal (12) 402b
tridecimal (13) 3215
tetradecimal (14) 2763
pentadecimal (15) 20d2

As an angle

6,947° = 19 × 360° + 107°
107° ≈ 1.868 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϛϡμζʹ
Mayan (base 20)
𝋱·𝋧·𝋧
Chinese
六千九百四十七
Chinese (financial)
陸仟玖佰肆拾柒
In other modern scripts
Eastern Arabic ٦٩٤٧ Devanagari ६९४७ Bengali ৬৯৪৭ Tamil ௬௯௪௭ Thai ๖๙๔๗ Tibetan ༦༩༤༧ Khmer ៦៩៤៧ Lao ໖໙໔໗ Burmese ၆၉၄၇

Digit at this position in famous constants

π — Pi (π)
Digit 6,947 = 3
e — Euler's number (e)
Digit 6,947 = 7
φ — Golden ratio (φ)
Digit 6,947 = 4
√2 — Pythagoras's (√2)
Digit 6,947 = 9
ln 2 — Natural log of 2
Digit 6,947 = 3
γ — Euler-Mascheroni (γ)
Digit 6,947 = 7

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 6,917 (gap of 30)
  • Next prime: 6,949 (gap of 2)

Pair status: twin with 6949.

Unicode codepoint
Balinese Letter Ta Tawa
U+1B23
Other letter (Lo)

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

Hex color
#001B23
RGB(0, 27, 35)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.27.35.

Address
0.0.27.35
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.27.35

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

Musical pitch

Heard as a frequency, 6,947 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A8 (7040 Hz, -23¢)
  • Scientific pitch (C4 = 256 Hz): A8 (6888.6 Hz, +15¢)
  • Baroque pitch (A4 = 415 Hz): A♯8 (7034.8 Hz, -22¢)
Position in π

The digit sequence 6947 first appears in π at position 2,507 of the decimal expansion (the 2,507ordinal-suffix:th 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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.