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991,999

991,999 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.).

991,999 (nine hundred ninety-one thousand nine hundred ninety-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF22FF.

Arithmetic Number Balanced Prime Cube-Free Deficient Number Emirp Evil Number Flippable Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
46
Digit product
59,049
Digital root
1
Palindrome
No
Bit width
20 bits
Reversed
999,199
Flips to (rotate 180°)
666,166
Square (n²)
984,062,016,001
Cube (n³)
976,188,535,810,975,999
Divisor count
2
σ(n) — sum of divisors
992,000
φ(n) — Euler's totient
991,998

Primality

991,999 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 991999
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 991,999)
1 × 991999
First multiples
991,999 · 1,983,998 (double) · 2,975,997 · 3,967,996 · 4,959,995 · 5,951,994 · 6,943,993 · 7,935,992 · 8,927,991 · 9,919,990

Sums & aliquot sequence

As consecutive integers: 495,999 + 496,000

Continued fraction of √n

√991,999 = [995; (1, 116, 5, 1, 2, 6, 1, 1, 5, 1, 3, 1, 2, 2, 1, 10, 2, 21, 1, 1, 1, 9, 4, 48, …)]

Representations

In words
nine hundred ninety-one thousand nine hundred ninety-nine
Ordinal
991999th
Binary
11110010001011111111
Octal
3621377
Hexadecimal
0xF22FF
Base64
DyL/
One's complement
4,293,975,296 (32-bit)
Scientific notation
9.91999 × 10⁵
As a duration
991,999 s = 11 days, 11 hours, 33 minutes, 19 seconds
In other bases
ternary (3) 1212101202201
quaternary (4) 3302023333
quinary (5) 223220444
senary (6) 33132331
septenary (7) 11301061
nonary (9) 1771681
undecimal (11) 618338
duodecimal (12) 3ba0a7
tridecimal (13) 2896a8
tetradecimal (14) 1bb731
pentadecimal (15) 148dd4

As an angle

991,999° = 2,755 × 360° + 199°
199° ≈ 3.473 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡϟαϡϟθʹ
Chinese
九十九萬一千九百九十九
Chinese (financial)
玖拾玖萬壹仟玖佰玖拾玖
In other modern scripts
Eastern Arabic ٩٩١٩٩٩ Devanagari ९९१९९९ Bengali ৯৯১৯৯৯ Tamil ௯௯௧௯௯௯ Thai ๙๙๑๙๙๙ Tibetan ༩༩༡༩༩༩ Khmer ៩៩១៩៩៩ Lao ໙໙໑໙໙໙ Burmese ၉၉၁၉၉၉

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0F22FF
RGB(15, 34, 255)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.34.255.

Address
0.15.34.255
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.34.255

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 991,999 and was likely granted around 1911.

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

Position in π

The digit sequence 991999 first appears in π at position 13,016 of the decimal expansion (the 13,016ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.