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996,000

996,000 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.).

996,000 (nine hundred ninety-six thousand) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3 × 5³ × 83. Its proper divisors sum to 2,306,208, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF32A0.

Abundant Number Arithmetic Number Flippable Harshad / Niven Odious Number Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
699
Flips to (rotate 180°)
966
Square (n²)
992,016,000,000
Cube (n³)
988,047,936,000,000,000
Divisor count
96
σ(n) — sum of divisors
3,302,208
φ(n) — Euler's totient
262,400
Sum of prime factors
111

Primality

Prime factorization: 2 5 × 3 × 5 3 × 83

Nearest primes: 995,989 (−11) · 996,001 (+1)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 25 · 30 · 32 · 40 · 48 · 50 · 60 · 75 · 80 · 83 · 96 · 100 · 120 · 125 · 150 · 160 · 166 · 200 · 240 · 249 · 250 · 300 · 332 · 375 · 400 · 415 · 480 · 498 · 500 · 600 · 664 · 750 · 800 · 830 · 996 · 1000 · 1200 · 1245 · 1328 · 1500 · 1660 · 1992 · 2000 · 2075 · 2400 · 2490 · 2656 · 3000 · 3320 · 3984 · 4000 · 4150 · 4980 · 6000 · 6225 · 6640 · 7968 · 8300 · 9960 · 10375 · 12000 · 12450 · 13280 · 16600 · 19920 · 20750 · 24900 · 31125 · 33200 · 39840 · 41500 · 49800 · 62250 · 66400 · 83000 · 99600 · 124500 · 166000 · 199200 · 249000 · 332000 · 498000 (half) · 996000
Aliquot sum (sum of proper divisors): 2,306,208
Factor pairs (a × b = 996,000)
1 × 996000
2 × 498000
3 × 332000
4 × 249000
5 × 199200
6 × 166000
8 × 124500
10 × 99600
12 × 83000
15 × 66400
16 × 62250
20 × 49800
24 × 41500
25 × 39840
30 × 33200
32 × 31125
40 × 24900
48 × 20750
50 × 19920
60 × 16600
75 × 13280
80 × 12450
83 × 12000
96 × 10375
100 × 9960
120 × 8300
125 × 7968
150 × 6640
160 × 6225
166 × 6000
200 × 4980
240 × 4150
249 × 4000
250 × 3984
300 × 3320
332 × 3000
375 × 2656
400 × 2490
415 × 2400
480 × 2075
498 × 2000
500 × 1992
600 × 1660
664 × 1500
750 × 1328
800 × 1245
830 × 1200
996 × 1000
First multiples
996,000 · 1,992,000 (double) · 2,988,000 · 3,984,000 · 4,980,000 · 5,976,000 · 6,972,000 · 7,968,000 · 8,964,000 · 9,960,000

Sums & aliquot sequence

As consecutive integers: 331,999 + 332,000 + 332,001 199,198 + 199,199 + 199,200 + 199,201 + 199,202 66,393 + 66,394 + … + 66,407 39,828 + 39,829 + … + 39,852
Aliquot sequence: 996,000 2,306,208 3,747,840 8,440,368 13,592,448 30,961,152 58,408,128 124,151,832 273,249,768 501,239,832 842,452,968 1,609,003,032 3,369,065,448 6,522,317,592 12,112,876,008 — keeps growing

Continued fraction of √n

√996,000 = [997; (1, 497, 1, 1994)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
nine hundred ninety-six thousand
Ordinal
996000th
Binary
11110011001010100000
Octal
3631240
Hexadecimal
0xF32A0
Base64
DzKg
One's complement
4,293,971,295 (32-bit)
Scientific notation
9.96 × 10⁵
As a duration
996,000 s = 11 days, 12 hours, 40 minutes
In other bases
ternary (3) 1212121020220
quaternary (4) 3303022200
quinary (5) 223333000
senary (6) 33203040
septenary (7) 11315535
nonary (9) 1777226
undecimal (11) 620345
duodecimal (12) 400480
tridecimal (13) 28b465
tetradecimal (14) 1bcd8c
pentadecimal (15) 14a1a0

As an angle

996,000° = 2,766 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼
Greek (Milesian)
͵ϡϟϛ
Chinese
九十九萬六千
Chinese (financial)
玖拾玖萬陸仟
In other modern scripts
Eastern Arabic ٩٩٦٠٠٠ Devanagari ९९६००० Bengali ৯৯৬০০০ Tamil ௯௯௬௦௦௦ Thai ๙๙๖๐๐๐ Tibetan ༩༩༦༠༠༠ Khmer ៩៩៦០០០ Lao ໙໙໖໐໐໐ Burmese ၉၉၆၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 996000, here are decompositions:

  • 11 + 995989 = 996000
  • 13 + 995987 = 996000
  • 17 + 995983 = 996000
  • 41 + 995959 = 996000
  • 43 + 995957 = 996000
  • 59 + 995941 = 996000
  • 73 + 995927 = 996000
  • 97 + 995903 = 996000

Showing the first eight; more decompositions exist.

Hex color
#0F32A0
RGB(15, 50, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.50.160.

Address
0.15.50.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.50.160

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 996,000 and was likely granted around 1911.

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

Position in π

The digit sequence 996000 first appears in π at position 188,140 of the decimal expansion (the 188,140ordinal-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

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