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998,316

998,316 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.).

998,316 (nine hundred ninety-eight thousand three hundred sixteen) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 11 × 2,521. Its proper divisors sum to 1,755,708, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3BAC.

Abundant Number Cube-Free Harshad / Niven Odious Number Pernicious Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
36
Digit product
11,664
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
613,899
Square (n²)
996,634,835,856
Cube (n³)
994,956,502,792,418,496
Divisor count
36
σ(n) — sum of divisors
2,754,024
φ(n) — Euler's totient
302,400
Sum of prime factors
2,542

Primality

Prime factorization: 2 2 × 3 2 × 11 × 2521

Nearest primes: 998,311 (−5) · 998,329 (+13)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 6 · 9 · 11 · 12 · 18 · 22 · 33 · 36 · 44 · 66 · 99 · 132 · 198 · 396 · 2521 · 5042 · 7563 · 10084 · 15126 · 22689 · 27731 · 30252 · 45378 · 55462 · 83193 · 90756 · 110924 · 166386 · 249579 · 332772 · 499158 (half) · 998316
Aliquot sum (sum of proper divisors): 1,755,708
Factor pairs (a × b = 998,316)
1 × 998316
2 × 499158
3 × 332772
4 × 249579
6 × 166386
9 × 110924
11 × 90756
12 × 83193
18 × 55462
22 × 45378
33 × 30252
36 × 27731
44 × 22689
66 × 15126
99 × 10084
132 × 7563
198 × 5042
396 × 2521
First multiples
998,316 · 1,996,632 (double) · 2,994,948 · 3,993,264 · 4,991,580 · 5,989,896 · 6,988,212 · 7,986,528 · 8,984,844 · 9,983,160

Sums & aliquot sequence

As consecutive integers: 332,771 + 332,772 + 332,773 124,786 + 124,787 + … + 124,793 110,920 + 110,921 + … + 110,928 90,751 + 90,752 + … + 90,761
Aliquot sequence: 998,316 1,755,708 2,340,972 3,576,576 5,944,376 5,201,344 5,282,760 13,840,440 27,681,240 55,716,360 145,422,840 290,846,040 619,637,160 1,243,506,840 2,490,066,120 5,239,640,760 10,486,952,040 — keeps growing

Continued fraction of √n

√998,316 = [999; (6, 2, 1, 10, 2, 2, 1, 1, 7, 2, 1, 8, 4, 1, 56, 3, 2, 4, 9, 1, 3, 3, 1, 2, …)]

Representations

In words
nine hundred ninety-eight thousand three hundred sixteen
Ordinal
998316th
Binary
11110011101110101100
Octal
3635654
Hexadecimal
0xF3BAC
Base64
Dzus
One's complement
4,293,968,979 (32-bit)
Scientific notation
9.98316 × 10⁵
As a duration
998,316 s = 11 days, 13 hours, 18 minutes, 36 seconds
In other bases
ternary (3) 1212201102200
quaternary (4) 3303232230
quinary (5) 223421231
senary (6) 33221500
septenary (7) 11325354
nonary (9) 1781380
undecimal (11) 622060
duodecimal (12) 401890
tridecimal (13) 28c527
tetradecimal (14) 1bdb64
pentadecimal (15) 14abe6

As an angle

998,316° = 2,773 × 360° + 36°
36° ≈ 0.628 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡϟητιϛʹ
Chinese
九十九萬八千三百一十六
Chinese (financial)
玖拾玖萬捌仟參佰壹拾陸
In other modern scripts
Eastern Arabic ٩٩٨٣١٦ Devanagari ९९८३१६ Bengali ৯৯৮৩১৬ Tamil ௯௯௮௩௧௬ Thai ๙๙๘๓๑๖ Tibetan ༩༩༨༣༡༦ Khmer ៩៩៨៣១៦ Lao ໙໙໘໓໑໖ Burmese ၉၉၈၃၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998316, here are decompositions:

  • 5 + 998311 = 998316
  • 29 + 998287 = 998316
  • 43 + 998273 = 998316
  • 73 + 998243 = 998316
  • 79 + 998237 = 998316
  • 97 + 998219 = 998316
  • 103 + 998213 = 998316
  • 149 + 998167 = 998316

Showing the first eight; more decompositions exist.

Hex color
#0F3BAC
RGB(15, 59, 172)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.59.172.

Address
0.15.59.172
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.59.172

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 998,316 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 998316 first appears in π at position 478,911 of the decimal expansion (the 478,911ordinal-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°.