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981,983

981,983 is a prime, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

981,983 (nine hundred eighty-one thousand nine hundred eighty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xEFBDF.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Safe Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
38
Digit product
15,552
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
389,189
Square (n²)
964,290,612,289
Cube (n³)
946,916,988,327,389,087
Divisor count
2
σ(n) — sum of divisors
981,984
φ(n) — Euler's totient
981,982

Primality

981,983 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 981983
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 981,983)
1 × 981983
First multiples
981,983 · 1,963,966 (double) · 2,945,949 · 3,927,932 · 4,909,915 · 5,891,898 · 6,873,881 · 7,855,864 · 8,837,847 · 9,819,830

Sums & aliquot sequence

As consecutive integers: 490,991 + 490,992

Continued fraction of √n

√981,983 = [990; (1, 19, 4, 2, 6, 1, 1, 3, 1, 4, 51, 1, 17, 1, 1, 5, 1, 1, 23, 2, 1, 31, 1, 4, …)]

Representations

In words
nine hundred eighty-one thousand nine hundred eighty-three
Ordinal
981983rd
Binary
11101111101111011111
Octal
3575737
Hexadecimal
0xEFBDF
Base64
Dvvf
One's complement
4,293,985,312 (32-bit)
Scientific notation
9.81983 × 10⁵
As a duration
981,983 s = 11 days, 8 hours, 46 minutes, 23 seconds
In other bases
ternary (3) 1211220000202
quaternary (4) 3233233133
quinary (5) 222410413
senary (6) 33014115
septenary (7) 11226632
nonary (9) 1756022
undecimal (11) 610862
duodecimal (12) 3b433b
tridecimal (13) 284c72
tetradecimal (14) 1b7c19
pentadecimal (15) 145e58

As an angle

981,983° = 2,727 × 360° + 263°
263° ≈ 4.59 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ϡπαϡπγʹ
Chinese
九十八萬一千九百八十三
Chinese (financial)
玖拾捌萬壹仟玖佰捌拾參
In other modern scripts
Eastern Arabic ٩٨١٩٨٣ Devanagari ९८१९८३ Bengali ৯৮১৯৮৩ Tamil ௯௮௧௯௮௩ Thai ๙๘๑๙๘๓ Tibetan ༩༨༡༩༨༣ Khmer ៩៨១៩៨៣ Lao ໙໘໑໙໘໓ Burmese ၉၈၁၉၈၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 981979.

Hex color
#0EFBDF
RGB(14, 251, 223)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.251.223.

Address
0.14.251.223
Class
reserved
IPv4-mapped IPv6
::ffff:0.14.251.223

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 981,983 and was likely granted around 1910.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 981983 first appears in π at position 348,423 of the decimal expansion (the 348,423ordinal-suffix:rd 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.