number.wiki
Live analysis

990,964

990,964 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.).

990,964 (nine hundred ninety thousand nine hundred sixty-four) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 13 × 17 × 19 × 59. Its proper divisors sum to 1,125,836, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1EF4.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
37
Digit product
0
Digital root
1
Palindrome
No
Bit width
20 bits
Reversed
469,099
Square (n²)
982,009,649,296
Cube (n³)
973,136,210,104,961,344
Divisor count
48
σ(n) — sum of divisors
2,116,800
φ(n) — Euler's totient
400,896
Sum of prime factors
112

Primality

Prime factorization: 2 2 × 13 × 17 × 19 × 59

Nearest primes: 990,961 (−3) · 990,967 (+3)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 13 · 17 · 19 · 26 · 34 · 38 · 52 · 59 · 68 · 76 · 118 · 221 · 236 · 247 · 323 · 442 · 494 · 646 · 767 · 884 · 988 · 1003 · 1121 · 1292 · 1534 · 2006 · 2242 · 3068 · 4012 · 4199 · 4484 · 8398 · 13039 · 14573 · 16796 · 19057 · 26078 · 29146 · 38114 · 52156 · 58292 · 76228 · 247741 · 495482 (half) · 990964
Aliquot sum (sum of proper divisors): 1,125,836
Factor pairs (a × b = 990,964)
1 × 990964
2 × 495482
4 × 247741
13 × 76228
17 × 58292
19 × 52156
26 × 38114
34 × 29146
38 × 26078
52 × 19057
59 × 16796
68 × 14573
76 × 13039
118 × 8398
221 × 4484
236 × 4199
247 × 4012
323 × 3068
442 × 2242
494 × 2006
646 × 1534
767 × 1292
884 × 1121
988 × 1003
First multiples
990,964 · 1,981,928 (double) · 2,972,892 · 3,963,856 · 4,954,820 · 5,945,784 · 6,936,748 · 7,927,712 · 8,918,676 · 9,909,640

Sums & aliquot sequence

As consecutive integers: 123,867 + 123,868 + … + 123,874 76,222 + 76,223 + … + 76,234 58,284 + 58,285 + … + 58,300 52,147 + 52,148 + … + 52,165
Aliquot sequence: 990,964 1,125,836 897,892 673,426 435,374 217,690 209,990 225,466 117,254 66,346 49,592 43,408 40,726 29,114 14,560 27,776 37,504 — unresolved within range

Continued fraction of √n

√990,964 = [995; (2, 8, 2, 1, 6, 1, 1, 6, 1, 3, 1, 1, 1, 5, 12, 1, 2, 124, 10, 1, 6, 1, 3, 1, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
nine hundred ninety thousand nine hundred sixty-four
Ordinal
990964th
Binary
11110001111011110100
Octal
3617364
Hexadecimal
0xF1EF4
Base64
Dx70
One's complement
4,293,976,331 (32-bit)
Scientific notation
9.90964 × 10⁵
As a duration
990,964 s = 11 days, 11 hours, 16 minutes, 4 seconds
In other bases
ternary (3) 1212100100101
quaternary (4) 3301323310
quinary (5) 223202324
senary (6) 33123444
septenary (7) 11265052
nonary (9) 1770311
undecimal (11) 617587
duodecimal (12) 3b9584
tridecimal (13) 289090
tetradecimal (14) 1bb1d2
pentadecimal (15) 148944

As an angle

990,964° = 2,752 × 360° + 244°
244° ≈ 4.259 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡϟϡξδʹ
Chinese
九十九萬零九百六十四
Chinese (financial)
玖拾玖萬零玖佰陸拾肆
In other modern scripts
Eastern Arabic ٩٩٠٩٦٤ Devanagari ९९०९६४ Bengali ৯৯০৯৬৪ Tamil ௯௯௦௯௬௪ Thai ๙๙๐๙๖๔ Tibetan ༩༩༠༩༦༤ Khmer ៩៩០៩៦៤ Lao ໙໙໐໙໖໔ Burmese ၉၉၀၉၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 990964, here are decompositions:

  • 3 + 990961 = 990964
  • 11 + 990953 = 990964
  • 41 + 990923 = 990964
  • 47 + 990917 = 990964
  • 71 + 990893 = 990964
  • 83 + 990881 = 990964
  • 113 + 990851 = 990964
  • 167 + 990797 = 990964

Showing the first eight; more decompositions exist.

Hex color
#0F1EF4
RGB(15, 30, 244)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.30.244.

Address
0.15.30.244
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.30.244

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 990,964 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 990964 first appears in π at position 117,436 of the decimal expansion (the 117,436ordinal-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°.