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998,920

998,920 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.).

998,920 (nine hundred ninety-eight thousand nine hundred twenty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 5 × 13 × 17 × 113. Its proper divisors sum to 1,586,600, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3E08.

Abundant Number Evil Number Practical Number Self 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
29,899
Square (n²)
997,841,166,400
Cube (n³)
996,763,497,940,288,000
Divisor count
64
σ(n) — sum of divisors
2,585,520
φ(n) — Euler's totient
344,064
Sum of prime factors
154

Primality

Prime factorization: 2 3 × 5 × 13 × 17 × 113

Nearest primes: 998,917 (−3) · 998,927 (+7)

Divisors & multiples

All divisors (64)
1 · 2 · 4 · 5 · 8 · 10 · 13 · 17 · 20 · 26 · 34 · 40 · 52 · 65 · 68 · 85 · 104 · 113 · 130 · 136 · 170 · 221 · 226 · 260 · 340 · 442 · 452 · 520 · 565 · 680 · 884 · 904 · 1105 · 1130 · 1469 · 1768 · 1921 · 2210 · 2260 · 2938 · 3842 · 4420 · 4520 · 5876 · 7345 · 7684 · 8840 · 9605 · 11752 · 14690 · 15368 · 19210 · 24973 · 29380 · 38420 · 49946 · 58760 · 76840 · 99892 · 124865 · 199784 · 249730 · 499460 (half) · 998920
Aliquot sum (sum of proper divisors): 1,586,600
Factor pairs (a × b = 998,920)
1 × 998920
2 × 499460
4 × 249730
5 × 199784
8 × 124865
10 × 99892
13 × 76840
17 × 58760
20 × 49946
26 × 38420
34 × 29380
40 × 24973
52 × 19210
65 × 15368
68 × 14690
85 × 11752
104 × 9605
113 × 8840
130 × 7684
136 × 7345
170 × 5876
221 × 4520
226 × 4420
260 × 3842
340 × 2938
442 × 2260
452 × 2210
520 × 1921
565 × 1768
680 × 1469
884 × 1130
904 × 1105
First multiples
998,920 · 1,997,840 (double) · 2,996,760 · 3,995,680 · 4,994,600 · 5,993,520 · 6,992,440 · 7,991,360 · 8,990,280 · 9,989,200

Sums & aliquot sequence

As a sum of two squares: 54² + 998² = 186² + 982² = 206² + 978² = 298² + 954²
As consecutive integers: 199,782 + 199,783 + 199,784 + 199,785 + 199,786 76,834 + 76,835 + … + 76,846 62,425 + 62,426 + … + 62,440 58,752 + 58,753 + … + 58,768
Aliquot sequence: 998,920 1,586,600 2,102,710 1,785,146 1,193,062 734,234 416,614 289,706 155,578 80,294 46,546 29,432 30,208 31,172 23,386 14,918 7,462 — unresolved within range

Continued fraction of √n

√998,920 = [999; (2, 5, 1, 2, 1, 2, 499, 2, 1, 2, 1, 5, 2, 1998)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
nine hundred ninety-eight thousand nine hundred twenty
Ordinal
998920th
Binary
11110011111000001000
Octal
3637010
Hexadecimal
0xF3E08
Base64
Dz4I
One's complement
4,293,968,375 (32-bit)
Scientific notation
9.9892 × 10⁵
As a duration
998,920 s = 11 days, 13 hours, 28 minutes, 40 seconds
In other bases
ternary (3) 1212202021001
quaternary (4) 3303320020
quinary (5) 223431140
senary (6) 33224344
septenary (7) 11330206
nonary (9) 1782231
undecimal (11) 62255a
duodecimal (12) 4020b4
tridecimal (13) 28c8a0
tetradecimal (14) 1c0076
pentadecimal (15) 14ae9a

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ϡϟηϡκʹ
Chinese
九十九萬八千九百二十
Chinese (financial)
玖拾玖萬捌仟玖佰貳拾
In other modern scripts
Eastern Arabic ٩٩٨٩٢٠ Devanagari ९९८९२० Bengali ৯৯৮৯২০ Tamil ௯௯௮௯௨௦ Thai ๙๙๘๙๒๐ Tibetan ༩༩༨༩༢༠ Khmer ៩៩៨៩២០ Lao ໙໙໘໙໒໐ Burmese ၉၉၈၉၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998920, here are decompositions:

  • 3 + 998917 = 998920
  • 11 + 998909 = 998920
  • 23 + 998897 = 998920
  • 59 + 998861 = 998920
  • 89 + 998831 = 998920
  • 101 + 998819 = 998920
  • 107 + 998813 = 998920
  • 233 + 998687 = 998920

Showing the first eight; more decompositions exist.

Hex color
#0F3E08
RGB(15, 62, 8)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.62.8.

Address
0.15.62.8
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.62.8

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 998,920 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 998920 first appears in π at position 284,769 of the decimal expansion (the 284,769ordinal-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°.