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996,464

996,464 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.).

996,464 (nine hundred ninety-six thousand four hundred sixty-four) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 7² × 31 × 41. Its proper divisors sum to 1,378,384, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3470.

Abundant Number Evil Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
38
Digit product
46,656
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
464,699
Square (n²)
992,940,503,296
Cube (n³)
989,429,465,676,345,344
Divisor count
60
σ(n) — sum of divisors
2,374,848
φ(n) — Euler's totient
403,200
Sum of prime factors
94

Primality

Prime factorization: 2 4 × 7 2 × 31 × 41

Nearest primes: 996,461 (−3) · 996,487 (+23)

Divisors & multiples

All divisors (60)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 31 · 41 · 49 · 56 · 62 · 82 · 98 · 112 · 124 · 164 · 196 · 217 · 248 · 287 · 328 · 392 · 434 · 496 · 574 · 656 · 784 · 868 · 1148 · 1271 · 1519 · 1736 · 2009 · 2296 · 2542 · 3038 · 3472 · 4018 · 4592 · 5084 · 6076 · 8036 · 8897 · 10168 · 12152 · 16072 · 17794 · 20336 · 24304 · 32144 · 35588 · 62279 · 71176 · 124558 · 142352 · 249116 · 498232 (half) · 996464
Aliquot sum (sum of proper divisors): 1,378,384
Factor pairs (a × b = 996,464)
1 × 996464
2 × 498232
4 × 249116
7 × 142352
8 × 124558
14 × 71176
16 × 62279
28 × 35588
31 × 32144
41 × 24304
49 × 20336
56 × 17794
62 × 16072
82 × 12152
98 × 10168
112 × 8897
124 × 8036
164 × 6076
196 × 5084
217 × 4592
248 × 4018
287 × 3472
328 × 3038
392 × 2542
434 × 2296
496 × 2009
574 × 1736
656 × 1519
784 × 1271
868 × 1148
First multiples
996,464 · 1,992,928 (double) · 2,989,392 · 3,985,856 · 4,982,320 · 5,978,784 · 6,975,248 · 7,971,712 · 8,968,176 · 9,964,640

Sums & aliquot sequence

As consecutive integers: 142,349 + 142,350 + … + 142,355 32,129 + 32,130 + … + 32,159 31,124 + 31,125 + … + 31,155 24,284 + 24,285 + … + 24,324
Aliquot sequence: 996,464 1,378,384 1,780,144 1,914,064 2,157,104 2,158,096 2,405,104 2,789,008 2,790,000 7,281,776 7,610,128 7,904,752 7,905,744 21,806,640 53,867,088 116,050,608 219,219,600 — unresolved within range

Continued fraction of √n

√996,464 = [998; (4, 2, 1, 16, 1, 39, 1, 4, 64, 4, 1, 39, 1, 16, 1, 2, 4, 1996)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
nine hundred ninety-six thousand four hundred sixty-four
Ordinal
996464th
Binary
11110011010001110000
Octal
3632160
Hexadecimal
0xF3470
Base64
DzRw
One's complement
4,293,970,831 (32-bit)
Scientific notation
9.96464 × 10⁵
As a duration
996,464 s = 11 days, 12 hours, 47 minutes, 44 seconds
In other bases
ternary (3) 1212121220002
quaternary (4) 3303101300
quinary (5) 223341324
senary (6) 33205132
septenary (7) 11320100
nonary (9) 1777802
undecimal (11) 620727
duodecimal (12) 4007a8
tridecimal (13) 28b731
tetradecimal (14) 1bd200
pentadecimal (15) 14a3ae

As an angle

996,464° = 2,767 × 360° + 344°
344° ≈ 6.004 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡϟϛυξδʹ
Chinese
九十九萬六千四百六十四
Chinese (financial)
玖拾玖萬陸仟肆佰陸拾肆
In other modern scripts
Eastern Arabic ٩٩٦٤٦٤ Devanagari ९९६४६४ Bengali ৯৯৬৪৬৪ Tamil ௯௯௬௪௬௪ Thai ๙๙๖๔๖๔ Tibetan ༩༩༦༤༦༤ Khmer ៩៩៦៤៦៤ Lao ໙໙໖໔໖໔ Burmese ၉၉၆၄၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 996464, here are decompositions:

  • 3 + 996461 = 996464
  • 61 + 996403 = 996464
  • 97 + 996367 = 996464
  • 103 + 996361 = 996464
  • 163 + 996301 = 996464
  • 193 + 996271 = 996464
  • 211 + 996253 = 996464
  • 277 + 996187 = 996464

Showing the first eight; more decompositions exist.

Hex color
#0F3470
RGB(15, 52, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.52.112.

Address
0.15.52.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.52.112

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 996,464 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°.