number.wiki
Number

6,983

6,983 is a prime, odd.

6,983 (six thousand nine hundred eighty-three) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1B47.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number Left-Truncatable Prime Prime Recamán's Sequence Safe Prime Sexy Prime Sophie Germain Prime Squarefree

Interestingness

10 notable facts · grade A
less more

Properties

Parity
Odd
Digit count
4
Digit sum
26
Digit product
1,296
Digital root
8
Palindrome
No
Bit width
13 bits
Reversed
3,896
Recamán's sequence
a(177,045) = 6,983
Square (n²)
48,762,289
Cube (n³)
340,507,064,087
Divisor count
2
σ(n) — sum of divisors
6,984
φ(n) — Euler's totient
6,982

Primality

6,983 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 6983
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 6,983)
1 × 6983
First multiples
6,983 · 13,966 (double) · 20,949 · 27,932 · 34,915 · 41,898 · 48,881 · 55,864 · 62,847 · 69,830

Sums & aliquot sequence

As consecutive integers: 3,491 + 3,492

Continued fraction of √n

√6,983 = [83; (1, 1, 3, 2, 1, 1, 2, 9, 2, 4, 23, 1, 1, 1, 6, 1, 14, 3, 11, 1, 1, 1, 1, 2, …)]

Representations

In words
six thousand nine hundred eighty-three
Ordinal
6983rd
Binary
1101101000111
Octal
15507
Hexadecimal
0x1B47
Base64
G0c=
One's complement
58,552 (16-bit)
Scientific notation
6.983 × 10³
As a duration
6,983 s = 1 hour, 56 minutes, 23 seconds
In other bases
ternary (3) 100120122
quaternary (4) 1231013
quinary (5) 210413
senary (6) 52155
septenary (7) 26234
nonary (9) 10518
undecimal (11) 5279
duodecimal (12) 405b
tridecimal (13) 3242
tetradecimal (14) 278b
pentadecimal (15) 2108

As an angle

6,983° = 19 × 360° + 143°
143° ≈ 2.496 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ϛϡπγʹ
Mayan (base 20)
𝋱·𝋩·𝋣
Chinese
六千九百八十三
Chinese (financial)
陸仟玖佰捌拾參
In other modern scripts
Eastern Arabic ٦٩٨٣ Devanagari ६९८३ Bengali ৬৯৮৩ Tamil ௬௯௮௩ Thai ๖๙๘๓ Tibetan ༦༩༨༣ Khmer ៦៩៨៣ Lao ໖໙໘໓ Burmese ၆၉၈၃

Digit at this position in famous constants

π — Pi (π)
Digit 6,983 = 0
e — Euler's number (e)
Digit 6,983 = 0
φ — Golden ratio (φ)
Digit 6,983 = 5
√2 — Pythagoras's (√2)
Digit 6,983 = 7
ln 2 — Natural log of 2
Digit 6,983 = 1
γ — Euler-Mascheroni (γ)
Digit 6,983 = 7

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 6,977 (gap of 6)
  • Next prime: 6,991 (gap of 8)

Pair status: sexy with 6977.

Unicode codepoint
Balinese Letter Tzir Sasak
U+1B47
Other letter (Lo)

UTF-8 encoding: E1 AD 87 (3 bytes).

Hex color
#001B47
RGB(0, 27, 71)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.27.71.

Address
0.0.27.71
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.27.71

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

Musical pitch

Heard as a frequency, 6,983 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A8 (7040 Hz, -14¢)
  • Scientific pitch (C4 = 256 Hz): A8 (6888.6 Hz, +24¢)
  • Baroque pitch (A4 = 415 Hz): A♯8 (7034.8 Hz, -13¢)
Position in π

The digit sequence 6983 first appears in π at position 3,876 of the decimal expansion (the 3,876ordinal-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.