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998,088

998,088 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.).

998,088 (nine hundred ninety-eight thousand eighty-eight) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 7 × 13 × 457. Its proper divisors sum to 2,079,672, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3AC8.

Abundant Number Arithmetic Number Flippable Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
42
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
880,899
Flips to (rotate 180°)
880,866
Square (n²)
996,179,655,744
Cube (n³)
994,274,960,242,217,472
Divisor count
64
σ(n) — sum of divisors
3,077,760
φ(n) — Euler's totient
262,656
Sum of prime factors
486

Primality

Prime factorization: 2 3 × 3 × 7 × 13 × 457

Nearest primes: 998,083 (−5) · 998,111 (+23)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 13 · 14 · 21 · 24 · 26 · 28 · 39 · 42 · 52 · 56 · 78 · 84 · 91 · 104 · 156 · 168 · 182 · 273 · 312 · 364 · 457 · 546 · 728 · 914 · 1092 · 1371 · 1828 · 2184 · 2742 · 3199 · 3656 · 5484 · 5941 · 6398 · 9597 · 10968 · 11882 · 12796 · 17823 · 19194 · 23764 · 25592 · 35646 · 38388 · 41587 · 47528 · 71292 · 76776 · 83174 · 124761 · 142584 · 166348 · 249522 · 332696 · 499044 (half) · 998088
Aliquot sum (sum of proper divisors): 2,079,672
Factor pairs (a × b = 998,088)
1 × 998088
2 × 499044
3 × 332696
4 × 249522
6 × 166348
7 × 142584
8 × 124761
12 × 83174
13 × 76776
14 × 71292
21 × 47528
24 × 41587
26 × 38388
28 × 35646
39 × 25592
42 × 23764
52 × 19194
56 × 17823
78 × 12796
84 × 11882
91 × 10968
104 × 9597
156 × 6398
168 × 5941
182 × 5484
273 × 3656
312 × 3199
364 × 2742
457 × 2184
546 × 1828
728 × 1371
914 × 1092
First multiples
998,088 · 1,996,176 (double) · 2,994,264 · 3,992,352 · 4,990,440 · 5,988,528 · 6,986,616 · 7,984,704 · 8,982,792 · 9,980,880

Sums & aliquot sequence

As consecutive integers: 332,695 + 332,696 + 332,697 142,581 + 142,582 + … + 142,587 76,770 + 76,771 + … + 76,782 62,373 + 62,374 + … + 62,388
Aliquot sequence: 998,088 2,079,672 3,862,728 6,991,752 10,561,848 18,469,392 29,243,328 48,590,400 114,684,864 232,104,384 445,822,632 778,633,848 1,330,166,352 2,216,947,888 2,388,471,632 2,388,472,624 2,388,473,616 — unresolved within range

Continued fraction of √n

√998,088 = [999; (22, 1, 28, 2, 2, 1, 13, 3, 1, 6, 6, 3, 1, 1, 1, 1, 2, 5, 1, 15, 1, 2, 35, 2, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words
nine hundred ninety-eight thousand eighty-eight
Ordinal
998088th
Binary
11110011101011001000
Octal
3635310
Hexadecimal
0xF3AC8
Base64
DzrI
One's complement
4,293,969,207 (32-bit)
Scientific notation
9.98088 × 10⁵
As a duration
998,088 s = 11 days, 13 hours, 14 minutes, 48 seconds
In other bases
ternary (3) 1212201010020
quaternary (4) 3303223020
quinary (5) 223414323
senary (6) 33220440
septenary (7) 11324610
nonary (9) 1781106
undecimal (11) 621973
duodecimal (12) 401720
tridecimal (13) 28c3b0
tetradecimal (14) 1bda40
pentadecimal (15) 14aae3

As an angle

998,088° = 2,772 × 360° + 168°
168° ≈ 2.932 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡϟηπηʹ
Chinese
九十九萬八千零八十八
Chinese (financial)
玖拾玖萬捌仟零捌拾捌
In other modern scripts
Eastern Arabic ٩٩٨٠٨٨ Devanagari ९९८०८८ Bengali ৯৯৮০৮৮ Tamil ௯௯௮௦௮௮ Thai ๙๙๘๐๘๘ Tibetan ༩༩༨༠༨༨ Khmer ៩៩៨០៨៨ Lao ໙໙໘໐໘໘ Burmese ၉၉၈၀၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998088, here are decompositions:

  • 5 + 998083 = 998088
  • 11 + 998077 = 998088
  • 17 + 998071 = 998088
  • 19 + 998069 = 998088
  • 59 + 998029 = 998088
  • 61 + 998027 = 998088
  • 71 + 998017 = 998088
  • 79 + 998009 = 998088

Showing the first eight; more decompositions exist.

Hex color
#0F3AC8
RGB(15, 58, 200)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.58.200.

Address
0.15.58.200
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.58.200

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 998,088 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°.