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996,400

996,400 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.).

996,400 (nine hundred ninety-six thousand four hundred) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 5² × 47 × 53. Its proper divisors sum to 1,494,512, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3430.

Abundant Number Odious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
28
Digit product
0
Digital root
1
Palindrome
No
Bit width
20 bits
Reversed
4,699
Square (n²)
992,812,960,000
Cube (n³)
989,238,833,344,000,000
Divisor count
60
σ(n) — sum of divisors
2,490,912
φ(n) — Euler's totient
382,720
Sum of prime factors
118

Primality

Prime factorization: 2 4 × 5 2 × 47 × 53

Nearest primes: 996,367 (−33) · 996,403 (+3)

Divisors & multiples

All divisors (60)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 40 · 47 · 50 · 53 · 80 · 94 · 100 · 106 · 188 · 200 · 212 · 235 · 265 · 376 · 400 · 424 · 470 · 530 · 752 · 848 · 940 · 1060 · 1175 · 1325 · 1880 · 2120 · 2350 · 2491 · 2650 · 3760 · 4240 · 4700 · 4982 · 5300 · 9400 · 9964 · 10600 · 12455 · 18800 · 19928 · 21200 · 24910 · 39856 · 49820 · 62275 · 99640 · 124550 · 199280 · 249100 · 498200 (half) · 996400
Aliquot sum (sum of proper divisors): 1,494,512
Factor pairs (a × b = 996,400)
1 × 996400
2 × 498200
4 × 249100
5 × 199280
8 × 124550
10 × 99640
16 × 62275
20 × 49820
25 × 39856
40 × 24910
47 × 21200
50 × 19928
53 × 18800
80 × 12455
94 × 10600
100 × 9964
106 × 9400
188 × 5300
200 × 4982
212 × 4700
235 × 4240
265 × 3760
376 × 2650
400 × 2491
424 × 2350
470 × 2120
530 × 1880
752 × 1325
848 × 1175
940 × 1060
First multiples
996,400 · 1,992,800 (double) · 2,989,200 · 3,985,600 · 4,982,000 · 5,978,400 · 6,974,800 · 7,971,200 · 8,967,600 · 9,964,000

Sums & aliquot sequence

As consecutive integers: 199,278 + 199,279 + 199,280 + 199,281 + 199,282 39,844 + 39,845 + … + 39,868 31,122 + 31,123 + … + 31,153 21,177 + 21,178 + … + 21,223
Aliquot sequence: 996,400 1,494,512 1,401,136 1,723,664 1,812,940 1,994,276 1,540,444 1,297,356 1,773,348 2,364,492 3,844,788 5,880,396 7,840,556 6,462,964 5,524,396 4,509,124 3,381,850 — unresolved within range

Continued fraction of √n

√996,400 = [998; (5, 24, 2, 4, 4, 1, 4, 1, 1, 15, 1, 19, 1, 5, 1, 21, 1, 1, 2, 1, 4, 1, 1, 1, …)]

Representations

In words
nine hundred ninety-six thousand four hundred
Ordinal
996400th
Binary
11110011010000110000
Octal
3632060
Hexadecimal
0xF3430
Base64
DzQw
One's complement
4,293,970,895 (32-bit)
Scientific notation
9.964 × 10⁵
As a duration
996,400 s = 11 days, 12 hours, 46 minutes, 40 seconds
In other bases
ternary (3) 1212121210201
quaternary (4) 3303100300
quinary (5) 223341100
senary (6) 33204544
septenary (7) 11316646
nonary (9) 1777721
undecimal (11) 620679
duodecimal (12) 400754
tridecimal (13) 28b6b2
tetradecimal (14) 1bd196
pentadecimal (15) 14a36a

As an angle

996,400° = 2,767 × 360° + 280°
280° ≈ 4.887 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ϡϟϛυʹ
Chinese
九十九萬六千四百
Chinese (financial)
玖拾玖萬陸仟肆佰
In other modern scripts
Eastern Arabic ٩٩٦٤٠٠ Devanagari ९९६४०० Bengali ৯৯৬৪০০ Tamil ௯௯௬௪௦௦ Thai ๙๙๖๔๐๐ Tibetan ༩༩༦༤༠༠ Khmer ៩៩៦៤០០ Lao ໙໙໖໔໐໐ Burmese ၉၉၆၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 996400, here are decompositions:

  • 71 + 996329 = 996400
  • 89 + 996311 = 996400
  • 107 + 996293 = 996400
  • 137 + 996263 = 996400
  • 191 + 996209 = 996400
  • 227 + 996173 = 996400
  • 233 + 996167 = 996400
  • 239 + 996161 = 996400

Showing the first eight; more decompositions exist.

Hex color
#0F3430
RGB(15, 52, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.52.48.

Address
0.15.52.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.52.48

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 996,400 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 996400 first appears in π at position 5,089 of the decimal expansion (the 5,089ordinal-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°.