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998,820

998,820 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.).

998,820 (nine hundred ninety-eight thousand eight hundred twenty) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3² × 5 × 31 × 179. Its proper divisors sum to 2,146,140, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3DA4.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Smith Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
36
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
28,899
Square (n²)
997,641,392,400
Cube (n³)
996,464,175,556,968,000
Divisor count
72
σ(n) — sum of divisors
3,144,960
φ(n) — Euler's totient
256,320
Sum of prime factors
225

Primality

Prime factorization: 2 2 × 3 2 × 5 × 31 × 179

Nearest primes: 998,819 (−1) · 998,831 (+11)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 12 · 15 · 18 · 20 · 30 · 31 · 36 · 45 · 60 · 62 · 90 · 93 · 124 · 155 · 179 · 180 · 186 · 279 · 310 · 358 · 372 · 465 · 537 · 558 · 620 · 716 · 895 · 930 · 1074 · 1116 · 1395 · 1611 · 1790 · 1860 · 2148 · 2685 · 2790 · 3222 · 3580 · 5370 · 5549 · 5580 · 6444 · 8055 · 10740 · 11098 · 16110 · 16647 · 22196 · 27745 · 32220 · 33294 · 49941 · 55490 · 66588 · 83235 · 99882 · 110980 · 166470 · 199764 · 249705 · 332940 · 499410 (half) · 998820
Aliquot sum (sum of proper divisors): 2,146,140
Factor pairs (a × b = 998,820)
1 × 998820
2 × 499410
3 × 332940
4 × 249705
5 × 199764
6 × 166470
9 × 110980
10 × 99882
12 × 83235
15 × 66588
18 × 55490
20 × 49941
30 × 33294
31 × 32220
36 × 27745
45 × 22196
60 × 16647
62 × 16110
90 × 11098
93 × 10740
124 × 8055
155 × 6444
179 × 5580
180 × 5549
186 × 5370
279 × 3580
310 × 3222
358 × 2790
372 × 2685
465 × 2148
537 × 1860
558 × 1790
620 × 1611
716 × 1395
895 × 1116
930 × 1074
First multiples
998,820 · 1,997,640 (double) · 2,996,460 · 3,995,280 · 4,994,100 · 5,992,920 · 6,991,740 · 7,990,560 · 8,989,380 · 9,988,200

Sums & aliquot sequence

As consecutive integers: 332,939 + 332,940 + 332,941 199,762 + 199,763 + 199,764 + 199,765 + 199,766 124,849 + 124,850 + … + 124,856 110,976 + 110,977 + … + 110,984
Aliquot sequence: 998,820 2,146,140 4,364,364 5,857,204 4,446,320 5,891,560 7,364,540 8,101,036 6,075,784 7,713,656 6,749,464 5,934,056 5,359,384 4,689,476 4,331,914 2,165,960 2,751,280 — unresolved within range

Continued fraction of √n

√998,820 = [999; (2, 2, 3, 1, 2, 25, 1, 15, 1, 1, 3, 1, 7, 5, 2, 2, 4, 2, 1, 1, 16, 4, 1, 7, …)]

Representations

In words
nine hundred ninety-eight thousand eight hundred twenty
Ordinal
998820th
Binary
11110011110110100100
Octal
3636644
Hexadecimal
0xF3DA4
Base64
Dz2k
One's complement
4,293,968,475 (32-bit)
Scientific notation
9.9882 × 10⁵
As a duration
998,820 s = 11 days, 13 hours, 27 minutes
In other bases
ternary (3) 1212202010100
quaternary (4) 3303312210
quinary (5) 223430240
senary (6) 33224100
septenary (7) 11330004
nonary (9) 1782110
undecimal (11) 622479
duodecimal (12) 402030
tridecimal (13) 28c824
tetradecimal (14) 1c0004
pentadecimal (15) 14ae30

As an angle

998,820° = 2,774 × 360° + 180°
180° ≈ 3.142 rad

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ϡϟηωκʹ
Chinese
九十九萬八千八百二十
Chinese (financial)
玖拾玖萬捌仟捌佰貳拾
In other modern scripts
Eastern Arabic ٩٩٨٨٢٠ Devanagari ९९८८२० Bengali ৯৯৮৮২০ Tamil ௯௯௮௮௨௦ Thai ๙๙๘๘๒๐ Tibetan ༩༩༨༨༢༠ Khmer ៩៩៨៨២០ Lao ໙໙໘໘໒໐ Burmese ၉၉၈၈၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998820, here are decompositions:

  • 7 + 998813 = 998820
  • 41 + 998779 = 998820
  • 61 + 998759 = 998820
  • 71 + 998749 = 998820
  • 83 + 998737 = 998820
  • 103 + 998717 = 998820
  • 131 + 998689 = 998820
  • 139 + 998681 = 998820

Showing the first eight; more decompositions exist.

Hex color
#0F3DA4
RGB(15, 61, 164)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.61.164.

Address
0.15.61.164
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.61.164

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 998,820 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 998820 first appears in π at position 63,224 of the decimal expansion (the 63,224ordinal-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°.