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996,268

996,268 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.).

996,268 (nine hundred ninety-six thousand two hundred sixty-eight) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 7² × 13 × 17 × 23. Its proper divisors sum to 1,416,884, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF33AC.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Happy Number Practical Number Self Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
40
Digit product
46,656
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
862,699
Square (n²)
992,549,927,824
Cube (n³)
988,845,731,493,360,832
Divisor count
72
σ(n) — sum of divisors
2,413,152
φ(n) — Euler's totient
354,816
Sum of prime factors
71

Primality

Prime factorization: 2 2 × 7 2 × 13 × 17 × 23

Nearest primes: 996,263 (−5) · 996,271 (+3)

Divisors & multiples

All divisors (72)
1 · 2 · 4 · 7 · 13 · 14 · 17 · 23 · 26 · 28 · 34 · 46 · 49 · 52 · 68 · 91 · 92 · 98 · 119 · 161 · 182 · 196 · 221 · 238 · 299 · 322 · 364 · 391 · 442 · 476 · 598 · 637 · 644 · 782 · 833 · 884 · 1127 · 1196 · 1274 · 1547 · 1564 · 1666 · 2093 · 2254 · 2548 · 2737 · 3094 · 3332 · 4186 · 4508 · 5083 · 5474 · 6188 · 8372 · 10166 · 10829 · 10948 · 14651 · 19159 · 20332 · 21658 · 29302 · 35581 · 38318 · 43316 · 58604 · 71162 · 76636 · 142324 · 249067 · 498134 (half) · 996268
Aliquot sum (sum of proper divisors): 1,416,884
Factor pairs (a × b = 996,268)
1 × 996268
2 × 498134
4 × 249067
7 × 142324
13 × 76636
14 × 71162
17 × 58604
23 × 43316
26 × 38318
28 × 35581
34 × 29302
46 × 21658
49 × 20332
52 × 19159
68 × 14651
91 × 10948
92 × 10829
98 × 10166
119 × 8372
161 × 6188
182 × 5474
196 × 5083
221 × 4508
238 × 4186
299 × 3332
322 × 3094
364 × 2737
391 × 2548
442 × 2254
476 × 2093
598 × 1666
637 × 1564
644 × 1547
782 × 1274
833 × 1196
884 × 1127
First multiples
996,268 · 1,992,536 (double) · 2,988,804 · 3,985,072 · 4,981,340 · 5,977,608 · 6,973,876 · 7,970,144 · 8,966,412 · 9,962,680

Sums & aliquot sequence

As consecutive integers: 142,321 + 142,322 + … + 142,327 124,530 + 124,531 + … + 124,537 76,630 + 76,631 + … + 76,642 58,596 + 58,597 + … + 58,612
Aliquot sequence: 996,268 1,416,884 1,467,886 1,048,514 524,260 677,276 507,964 418,780 460,700 601,732 513,368 449,212 336,916 252,694 155,546 77,776 72,946 — unresolved within range

Continued fraction of √n

√996,268 = [998; (7, 1, 1, 3, 1, 1, 2, 4, 7, 2, 1, 221, 7, 1, 18, 1, 1, 40, 4, 2, 2, 24, 4, 4, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words
nine hundred ninety-six thousand two hundred sixty-eight
Ordinal
996268th
Binary
11110011001110101100
Octal
3631654
Hexadecimal
0xF33AC
Base64
DzOs
One's complement
4,293,971,027 (32-bit)
Scientific notation
9.96268 × 10⁵
As a duration
996,268 s = 11 days, 12 hours, 44 minutes, 28 seconds
In other bases
ternary (3) 1212121121211
quaternary (4) 3303032230
quinary (5) 223340033
senary (6) 33204204
septenary (7) 11316400
nonary (9) 1777554
undecimal (11) 620569
duodecimal (12) 400664
tridecimal (13) 28b610
tetradecimal (14) 1bd100
pentadecimal (15) 14a2cd

As an angle

996,268° = 2,767 × 360° + 148°
148° ≈ 2.583 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡϟϛσξηʹ
Chinese
九十九萬六千二百六十八
Chinese (financial)
玖拾玖萬陸仟貳佰陸拾捌
In other modern scripts
Eastern Arabic ٩٩٦٢٦٨ Devanagari ९९६२६८ Bengali ৯৯৬২৬৮ Tamil ௯௯௬௨௬௮ Thai ๙๙๖๒๖๘ Tibetan ༩༩༦༢༦༨ Khmer ៩៩៦២៦៨ Lao ໙໙໖໒໖໘ Burmese ၉၉၆၂၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 996268, here are decompositions:

  • 5 + 996263 = 996268
  • 11 + 996257 = 996268
  • 59 + 996209 = 996268
  • 71 + 996197 = 996268
  • 101 + 996167 = 996268
  • 107 + 996161 = 996268
  • 149 + 996119 = 996268
  • 257 + 996011 = 996268

Showing the first eight; more decompositions exist.

Hex color
#0F33AC
RGB(15, 51, 172)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.51.172.

Address
0.15.51.172
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.51.172

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 996,268 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°.