Live analysis

991,000

991,000 is a composite number, even.

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.).

991,000 (nine hundred ninety-one thousand) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5³ × 991. Its proper divisors sum to 1,330,280, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1F18.

Abundant Number Arithmetic Number Flippable Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

990,988 990,989 990,990 990,991 990,992 990,993 990,994 990,995 990,996 990,997 990,998 990,999 991,000 991,001 991,002 991,003 991,004 991,005 991,006 991,007 991,008 991,009 991,010 991,011 991,012

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Properties

Parity: Even
Digit count: 6
Digit sum: 19
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 199
Flips to (rotate 180°): 166
Square (n²): 982,081,000,000
Cube (n³): 973,242,271,000,000,000
Divisor count: 32
σ(n) — sum of divisors: 2,321,280
φ(n) — Euler's totient: 396,000
Sum of prime factors: 1,012

Primality

Prime factorization: 2 ³ × 5 ³ × 991

Nearest primes: 990,989 (−11) · 991,009 (+9)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 25 · 40 · 50 · 100 · 125 · 200 · 250 · 500 · 991 · 1000 · 1982 · 3964 · 4955 · 7928 · 9910 · 19820 · 24775 · 39640 · 49550 · 99100 · 123875 · 198200 · 247750 · 495500 (half) · 991000

Aliquot sum (sum of proper divisors): 1,330,280

Factor pairs (a × b = 991,000)

1 × 991000

2 × 495500

4 × 247750

5 × 198200

8 × 123875

10 × 99100

20 × 49550

25 × 39640

40 × 24775

50 × 19820

100 × 9910

125 × 7928

200 × 4955

250 × 3964

500 × 1982

991 × 1000

First multiples

991,000 · 1,982,000 (double) · 2,973,000 · 3,964,000 · 4,955,000 · 5,946,000 · 6,937,000 · 7,928,000 · 8,919,000 · 9,910,000

Sums & aliquot sequence

As consecutive integers: 198,198 + 198,199 + 198,200 + 198,201 + 198,202 61,930 + 61,931 + … + 61,945 39,628 + 39,629 + … + 39,652 12,348 + 12,349 + … + 12,427

Aliquot sequence: 991,000 → 1,330,280 → 2,091,160 → 2,820,680 → 3,581,560 → 5,360,840 → 7,227,640 → 11,642,120 → 18,295,480 → 31,630,760 → 49,706,200 → 66,670,280 → 83,337,940 → 116,673,452 → 128,955,988 → 135,248,876 → 135,889,684 — unresolved within range

Continued fraction of √n

√991,000 = [995; (2, 24, 12, 2, 12, 1, 2, 2, 1, 1, 4, 1, 2, 1, 1, 2, 2, 1, 50, 2, 1, 8, 5, 1, …)]

Representations

In words: nine hundred ninety-one thousand
Ordinal: 991000th
Binary: 11110001111100011000
Octal: 3617430
Hexadecimal: 0xF1F18
Base64: Dx8Y
One's complement: 4,293,976,295 (32-bit)
Scientific notation: 9.91 × 10⁵
As a duration: 991,000 s = 11 days, 11 hours, 16 minutes, 40 seconds

In other bases

ternary (3) 1212100101201

quaternary (4) 3301330120

quinary (5) 223203000

senary (6) 33123544

septenary (7) 11265133

nonary (9) 1770351

undecimal (11) 61760a

duodecimal (12) 3b95b4

tridecimal (13) 2890ba

tetradecimal (14) 1bb21a

pentadecimal (15) 14896a

As an angle

991,000° = 2,752 × 360° + 280°

280° ≈ 4.887 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼
Greek (Milesian): ͵ϡϟα
Chinese: 九十九萬一千
Chinese (financial): 玖拾玖萬壹仟

In other modern scripts

Eastern Arabic ٩٩١٠٠٠ Devanagari ९९१००० Bengali ৯৯১০০০ Tamil ௯௯௧௦௦௦ Thai ๙๙๑๐๐๐ Tibetan ༩༩༡༠༠༠ Khmer ៩៩១០០០ Lao ໙໙໑໐໐໐ Burmese ၉၉၁၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 991000, here are decompositions:

11 + 990989 = 991000
47 + 990953 = 991000
83 + 990917 = 991000
107 + 990893 = 991000
113 + 990887 = 991000
149 + 990851 = 991000
191 + 990809 = 991000
233 + 990767 = 991000

Showing the first eight; more decompositions exist.

Hex color

#0F1F18

RGB(15, 31, 24)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.31.24.

Address: 0.15.31.24
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.31.24

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 991,000 and was likely granted around 1911.

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

Look up US991,000 on Google Patents ↗ Look up on USPTO ↗