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998,310

998,310 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.).

998,310 (nine hundred ninety-eight thousand three hundred ten) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 5 × 107 × 311. Its proper divisors sum to 1,427,802, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3BA6.

Abundant Number Arithmetic Number Cube-Free Happy Number Harshad / Niven Odious Number Pernicious Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
30
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
13,899
Square (n²)
996,622,856,100
Cube (n³)
994,938,563,473,191,000
Divisor count
32
σ(n) — sum of divisors
2,426,112
φ(n) — Euler's totient
262,880
Sum of prime factors
428

Primality

Prime factorization: 2 × 3 × 5 × 107 × 311

Nearest primes: 998,287 (−23) · 998,311 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 5 · 6 · 10 · 15 · 30 · 107 · 214 · 311 · 321 · 535 · 622 · 642 · 933 · 1070 · 1555 · 1605 · 1866 · 3110 · 3210 · 4665 · 9330 · 33277 · 66554 · 99831 · 166385 · 199662 · 332770 · 499155 (half) · 998310
Aliquot sum (sum of proper divisors): 1,427,802
Factor pairs (a × b = 998,310)
1 × 998310
2 × 499155
3 × 332770
5 × 199662
6 × 166385
10 × 99831
15 × 66554
30 × 33277
107 × 9330
214 × 4665
311 × 3210
321 × 3110
535 × 1866
622 × 1605
642 × 1555
933 × 1070
First multiples
998,310 · 1,996,620 (double) · 2,994,930 · 3,993,240 · 4,991,550 · 5,989,860 · 6,988,170 · 7,986,480 · 8,984,790 · 9,983,100

Sums & aliquot sequence

As consecutive integers: 332,769 + 332,770 + 332,771 249,576 + 249,577 + 249,578 + 249,579 199,660 + 199,661 + 199,662 + 199,663 + 199,664 83,187 + 83,188 + … + 83,198
Aliquot sequence: 998,310 1,427,802 1,427,814 1,784,826 2,108,154 2,108,166 2,108,178 2,492,730 3,988,602 5,315,238 6,201,150 9,178,074 10,769,958 13,318,938 16,486,182 20,663,658 24,107,640 — unresolved within range

Continued fraction of √n

√998,310 = [999; (6, 2, 6, 1, 29, 2, 2, 3, 10, 5, 1, 15, 1, 2, 8, 1, 2, 2, 1, 4, 6, 4, 1, 2, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
nine hundred ninety-eight thousand three hundred ten
Ordinal
998310th
Binary
11110011101110100110
Octal
3635646
Hexadecimal
0xF3BA6
Base64
Dzum
One's complement
4,293,968,985 (32-bit)
Scientific notation
9.9831 × 10⁵
As a duration
998,310 s = 11 days, 13 hours, 18 minutes, 30 seconds
In other bases
ternary (3) 1212201102110
quaternary (4) 3303232212
quinary (5) 223421220
senary (6) 33221450
septenary (7) 11325345
nonary (9) 1781373
undecimal (11) 622055
duodecimal (12) 401886
tridecimal (13) 28c521
tetradecimal (14) 1bdb5c
pentadecimal (15) 14abe0

As an angle

998,310° = 2,773 × 360° + 30°
30° ≈ 0.524 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆
Greek (Milesian)
͵ϡϟητιʹ
Chinese
九十九萬八千三百一十
Chinese (financial)
玖拾玖萬捌仟參佰壹拾
In other modern scripts
Eastern Arabic ٩٩٨٣١٠ Devanagari ९९८३१० Bengali ৯৯৮৩১০ Tamil ௯௯௮௩௧௦ Thai ๙๙๘๓๑๐ Tibetan ༩༩༨༣༡༠ Khmer ៩៩៨៣១០ Lao ໙໙໘໓໑໐ Burmese ၉၉၈၃၁၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998310, here are decompositions:

  • 23 + 998287 = 998310
  • 29 + 998281 = 998310
  • 37 + 998273 = 998310
  • 67 + 998243 = 998310
  • 73 + 998237 = 998310
  • 97 + 998213 = 998310
  • 109 + 998201 = 998310
  • 113 + 998197 = 998310

Showing the first eight; more decompositions exist.

Hex color
#0F3BA6
RGB(15, 59, 166)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.59.166.

Address
0.15.59.166
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.59.166

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 998,310 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 998310 first appears in π at position 216,113 of the decimal expansion (the 216,113ordinal-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°.