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998,016

998,016 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.).

998,016 (nine hundred ninety-eight thousand sixteen) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2⁷ × 3 × 23 × 113. Its proper divisors sum to 1,792,704, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3A80.

Abundant Number Arithmetic Number Flippable Gapful Number Happy Number Odious Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
33
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
610,899
Flips to (rotate 180°)
910,866
Square (n²)
996,035,936,256
Cube (n³)
994,059,800,958,468,096
Divisor count
64
σ(n) — sum of divisors
2,790,720
φ(n) — Euler's totient
315,392
Sum of prime factors
153

Primality

Prime factorization: 2 7 × 3 × 23 × 113

Nearest primes: 998,009 (−7) · 998,017 (+1)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 23 · 24 · 32 · 46 · 48 · 64 · 69 · 92 · 96 · 113 · 128 · 138 · 184 · 192 · 226 · 276 · 339 · 368 · 384 · 452 · 552 · 678 · 736 · 904 · 1104 · 1356 · 1472 · 1808 · 2208 · 2599 · 2712 · 2944 · 3616 · 4416 · 5198 · 5424 · 7232 · 7797 · 8832 · 10396 · 10848 · 14464 · 15594 · 20792 · 21696 · 31188 · 41584 · 43392 · 62376 · 83168 · 124752 · 166336 · 249504 · 332672 · 499008 (half) · 998016
Aliquot sum (sum of proper divisors): 1,792,704
Factor pairs (a × b = 998,016)
1 × 998016
2 × 499008
3 × 332672
4 × 249504
6 × 166336
8 × 124752
12 × 83168
16 × 62376
23 × 43392
24 × 41584
32 × 31188
46 × 21696
48 × 20792
64 × 15594
69 × 14464
92 × 10848
96 × 10396
113 × 8832
128 × 7797
138 × 7232
184 × 5424
192 × 5198
226 × 4416
276 × 3616
339 × 2944
368 × 2712
384 × 2599
452 × 2208
552 × 1808
678 × 1472
736 × 1356
904 × 1104
First multiples
998,016 · 1,996,032 (double) · 2,994,048 · 3,992,064 · 4,990,080 · 5,988,096 · 6,986,112 · 7,984,128 · 8,982,144 · 9,980,160

Sums & aliquot sequence

As consecutive integers: 332,671 + 332,672 + 332,673 43,381 + 43,382 + … + 43,403 14,430 + 14,431 + … + 14,498 8,776 + 8,777 + … + 8,888
Aliquot sequence: 998,016 1,792,704 2,951,000 4,518,280 6,431,120 9,311,920 14,311,568 13,623,772 10,217,836 7,663,384 7,462,016 7,581,964 6,707,220 13,519,980 28,543,860 60,260,940 122,531,124 — unresolved within range

Continued fraction of √n

√998,016 = [999; (133, 4, 1, 79, 8, 3, 5, 124, 1, 2, 4, 1, 7, 1, 1, 19, 2, 4, 1, 1, 32, 1, 3, 499, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
nine hundred ninety-eight thousand sixteen
Ordinal
998016th
Binary
11110011101010000000
Octal
3635200
Hexadecimal
0xF3A80
Base64
DzqA
One's complement
4,293,969,279 (32-bit)
Scientific notation
9.98016 × 10⁵
As a duration
998,016 s = 11 days, 13 hours, 13 minutes, 36 seconds
In other bases
ternary (3) 1212201000120
quaternary (4) 3303222000
quinary (5) 223414031
senary (6) 33220240
septenary (7) 11324445
nonary (9) 1781016
undecimal (11) 621908
duodecimal (12) 401680
tridecimal (13) 28c356
tetradecimal (14) 1bd9cc
pentadecimal (15) 14aa96

As an angle

998,016° = 2,772 × 360° + 96°
96° ≈ 1.676 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡϟηιϛʹ
Chinese
九十九萬八千零一十六
Chinese (financial)
玖拾玖萬捌仟零壹拾陸
In other modern scripts
Eastern Arabic ٩٩٨٠١٦ Devanagari ९९८०१६ Bengali ৯৯৮০১৬ Tamil ௯௯௮௦௧௬ Thai ๙๙๘๐๑๖ Tibetan ༩༩༨༠༡༦ Khmer ៩៩៨០១៦ Lao ໙໙໘໐໑໖ Burmese ၉၉၈၀၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998016, here are decompositions:

  • 7 + 998009 = 998016
  • 43 + 997973 = 998016
  • 53 + 997963 = 998016
  • 67 + 997949 = 998016
  • 83 + 997933 = 998016
  • 127 + 997889 = 998016
  • 137 + 997879 = 998016
  • 139 + 997877 = 998016

Showing the first eight; more decompositions exist.

Hex color
#0F3A80
RGB(15, 58, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.58.128.

Address
0.15.58.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.58.128

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 998,016 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°.