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999,000

999,000 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.).

999,000 (nine hundred ninety-nine thousand) is an even 6-digit number. It is a composite number with 128 divisors, and factors as 2³ × 3³ × 5³ × 37. Its proper divisors sum to 2,557,800, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3E58.

Abundant Number Evil Number Flippable Gapful Number Harshad / Niven Practical Number Pronic / Oblong Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
999
Flips to (rotate 180°)
666
Square (n²)
998,001,000,000
Cube (n³)
997,002,999,000,000,000
Divisor count
128
σ(n) — sum of divisors
3,556,800
φ(n) — Euler's totient
259,200
Sum of prime factors
67

Primality

Prime factorization: 2 3 × 3 3 × 5 3 × 37

Nearest primes: 998,989 (−11) · 999,007 (+7)

Divisors & multiples

All divisors (128)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 18 · 20 · 24 · 25 · 27 · 30 · 36 · 37 · 40 · 45 · 50 · 54 · 60 · 72 · 74 · 75 · 90 · 100 · 108 · 111 · 120 · 125 · 135 · 148 · 150 · 180 · 185 · 200 · 216 · 222 · 225 · 250 · 270 · 296 · 300 · 333 · 360 · 370 · 375 · 444 · 450 · 500 · 540 · 555 · 600 · 666 · 675 · 740 · 750 · 888 · 900 · 925 · 999 · 1000 · 1080 · 1110 · 1125 · 1332 · 1350 · 1480 · 1500 · 1665 · 1800 · 1850 · 1998 · 2220 · 2250 · 2664 · 2700 · 2775 · 3000 · 3330 · 3375 · 3700 · 3996 · 4440 · 4500 · 4625 · 4995 · 5400 · 5550 · 6660 · 6750 · 7400 · 7992 · 8325 · 9000 · 9250 · 9990 · 11100 · 13320 · 13500 · 13875 · 16650 · 18500 · 19980 · 22200 · 24975 · 27000 · 27750 · 33300 · 37000 · 39960 · 41625 · 49950 · 55500 · 66600 · 83250 · 99900 · 111000 · 124875 · 166500 · 199800 · 249750 · 333000 · 499500 (half) · 999000
Aliquot sum (sum of proper divisors): 2,557,800
Factor pairs (a × b = 999,000)
1 × 999000
2 × 499500
3 × 333000
4 × 249750
5 × 199800
6 × 166500
8 × 124875
9 × 111000
10 × 99900
12 × 83250
15 × 66600
18 × 55500
20 × 49950
24 × 41625
25 × 39960
27 × 37000
30 × 33300
36 × 27750
37 × 27000
40 × 24975
45 × 22200
50 × 19980
54 × 18500
60 × 16650
72 × 13875
74 × 13500
75 × 13320
90 × 11100
100 × 9990
108 × 9250
111 × 9000
120 × 8325
125 × 7992
135 × 7400
148 × 6750
150 × 6660
180 × 5550
185 × 5400
200 × 4995
216 × 4625
222 × 4500
225 × 4440
250 × 3996
270 × 3700
296 × 3375
300 × 3330
333 × 3000
360 × 2775
370 × 2700
375 × 2664
444 × 2250
450 × 2220
500 × 1998
540 × 1850
555 × 1800
600 × 1665
666 × 1500
675 × 1480
740 × 1350
750 × 1332
888 × 1125
900 × 1110
925 × 1080
999 × 1000
First multiples
999,000 · 1,998,000 (double) · 2,997,000 · 3,996,000 · 4,995,000 · 5,994,000 · 6,993,000 · 7,992,000 · 8,991,000 · 9,990,000

Sums & aliquot sequence

As consecutive integers: 332,999 + 333,000 + 333,001 199,798 + 199,799 + 199,800 + 199,801 + 199,802 110,996 + 110,997 + … + 111,004 66,593 + 66,594 + … + 66,607
Aliquot sequence: 999,000 2,557,800 7,779,150 13,547,610 22,025,070 35,830,962 42,575,418 53,342,118 65,462,202 91,201,158 118,025,730 206,896,374 241,992,066 258,681,534 258,681,546 349,344,054 407,568,102 — unresolved within range

Continued fraction of √n

√999,000 = [999; (2, 1998)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
nine hundred ninety-nine thousand
Ordinal
999000th
Binary
11110011111001011000
Octal
3637130
Hexadecimal
0xF3E58
Base64
Dz5Y
One's complement
4,293,968,295 (32-bit)
Scientific notation
9.99 × 10⁵
As a duration
999,000 s = 11 days, 13 hours, 30 minutes
In other bases
ternary (3) 1212202101000
quaternary (4) 3303321120
quinary (5) 223432000
senary (6) 33225000
septenary (7) 11330352
nonary (9) 1782330
undecimal (11) 622622
duodecimal (12) 402160
tridecimal (13) 28c932
tetradecimal (14) 1c00d2
pentadecimal (15) 14b000

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼
Greek (Milesian)
͵ϡϟθ
Chinese
九十九萬九千
Chinese (financial)
玖拾玖萬玖仟
In other modern scripts
Eastern Arabic ٩٩٩٠٠٠ Devanagari ९९९००० Bengali ৯৯৯০০০ Tamil ௯௯௯௦௦௦ Thai ๙๙๙๐๐๐ Tibetan ༩༩༩༠༠༠ Khmer ៩៩៩០០០ Lao ໙໙໙໐໐໐ Burmese ၉၉၉၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 999000, here are decompositions:

  • 11 + 998989 = 999000
  • 17 + 998983 = 999000
  • 31 + 998969 = 999000
  • 43 + 998957 = 999000
  • 53 + 998947 = 999000
  • 59 + 998941 = 999000
  • 73 + 998927 = 999000
  • 83 + 998917 = 999000

Showing the first eight; more decompositions exist.

Hex color
#0F3E58
RGB(15, 62, 88)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.62.88.

Address
0.15.62.88
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.62.88

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 999,000 and was likely granted around 1911.

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

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.