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996,820

996,820 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.).

996,820 (nine hundred ninety-six thousand eight hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 5 × 11 × 23 × 197. Its proper divisors sum to 1,398,188, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF35D4.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
34
Digit product
0
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
28,699
Square (n²)
993,650,112,400
Cube (n³)
990,490,305,042,568,000
Divisor count
48
σ(n) — sum of divisors
2,395,008
φ(n) — Euler's totient
344,960
Sum of prime factors
240

Primality

Prime factorization: 2 2 × 5 × 11 × 23 × 197

Nearest primes: 996,811 (−9) · 996,841 (+21)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 5 · 10 · 11 · 20 · 22 · 23 · 44 · 46 · 55 · 92 · 110 · 115 · 197 · 220 · 230 · 253 · 394 · 460 · 506 · 788 · 985 · 1012 · 1265 · 1970 · 2167 · 2530 · 3940 · 4334 · 4531 · 5060 · 8668 · 9062 · 10835 · 18124 · 21670 · 22655 · 43340 · 45310 · 49841 · 90620 · 99682 · 199364 · 249205 · 498410 (half) · 996820
Aliquot sum (sum of proper divisors): 1,398,188
Factor pairs (a × b = 996,820)
1 × 996820
2 × 498410
4 × 249205
5 × 199364
10 × 99682
11 × 90620
20 × 49841
22 × 45310
23 × 43340
44 × 22655
46 × 21670
55 × 18124
92 × 10835
110 × 9062
115 × 8668
197 × 5060
220 × 4531
230 × 4334
253 × 3940
394 × 2530
460 × 2167
506 × 1970
788 × 1265
985 × 1012
First multiples
996,820 · 1,993,640 (double) · 2,990,460 · 3,987,280 · 4,984,100 · 5,980,920 · 6,977,740 · 7,974,560 · 8,971,380 · 9,968,200

Sums & aliquot sequence

As consecutive integers: 199,362 + 199,363 + 199,364 + 199,365 + 199,366 124,599 + 124,600 + … + 124,606 90,615 + 90,616 + … + 90,625 43,329 + 43,330 + … + 43,351
Aliquot sequence: 996,820 1,398,188 1,336,852 1,328,300 1,640,260 1,804,328 1,661,932 1,346,948 1,206,652 1,016,268 1,570,932 2,762,124 3,858,084 6,255,516 9,019,268 7,339,732 5,667,948 — unresolved within range

Continued fraction of √n

√996,820 = [998; (2, 2, 4, 5, 1, 1, 3, 1, 1, 1, 2, 221, 2, 24, 6, 1, 1, 8, 1, 1, 6, 24, 2, 221, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
nine hundred ninety-six thousand eight hundred twenty
Ordinal
996820th
Binary
11110011010111010100
Octal
3632724
Hexadecimal
0xF35D4
Base64
DzXU
One's complement
4,293,970,475 (32-bit)
Scientific notation
9.9682 × 10⁵
As a duration
996,820 s = 11 days, 12 hours, 53 minutes, 40 seconds
In other bases
ternary (3) 1212122101021
quaternary (4) 3303113110
quinary (5) 223344240
senary (6) 33210524
septenary (7) 11321116
nonary (9) 1778337
undecimal (11) 620a20
duodecimal (12) 400a44
tridecimal (13) 28b946
tetradecimal (14) 1bd3b6
pentadecimal (15) 14a54a

As an angle

996,820° = 2,768 × 360° + 340°
340° ≈ 5.934 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ϡϟϛωκʹ
Chinese
九十九萬六千八百二十
Chinese (financial)
玖拾玖萬陸仟捌佰貳拾
In other modern scripts
Eastern Arabic ٩٩٦٨٢٠ Devanagari ९९६८२० Bengali ৯৯৬৮২০ Tamil ௯௯௬௮௨௦ Thai ๙๙๖๘๒๐ Tibetan ༩༩༦༨༢༠ Khmer ៩៩៦៨២០ Lao ໙໙໖໘໒໐ Burmese ၉၉၆၈၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 996820, here are decompositions:

  • 17 + 996803 = 996820
  • 131 + 996689 = 996820
  • 173 + 996647 = 996820
  • 191 + 996629 = 996820
  • 257 + 996563 = 996820
  • 269 + 996551 = 996820
  • 281 + 996539 = 996820
  • 359 + 996461 = 996820

Showing the first eight; more decompositions exist.

Hex color
#0F35D4
RGB(15, 53, 212)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.53.212.

Address
0.15.53.212
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.53.212

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 996,820 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 996820 first appears in π at position 926,605 of the decimal expansion (the 926,605ordinal-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°.