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998,208

998,208 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.).

998,208 (nine hundred ninety-eight thousand two hundred eight) is an even 6-digit number. It is a composite number with 42 divisors, and factors as 2⁶ × 3² × 1,733. Its proper divisors sum to 1,864,626, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3B40.

Abundant Number Evil Number Harshad / Niven Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
36
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
802,899
Square (n²)
996,419,211,264
Cube (n³)
994,633,628,037,414,912
Divisor count
42
σ(n) — sum of divisors
2,862,834
φ(n) — Euler's totient
332,544
Sum of prime factors
1,751

Primality

Prime factorization: 2 6 × 3 2 × 1733

Nearest primes: 998,201 (−7) · 998,213 (+5)

Divisors & multiples

All divisors (42)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 32 · 36 · 48 · 64 · 72 · 96 · 144 · 192 · 288 · 576 · 1733 · 3466 · 5199 · 6932 · 10398 · 13864 · 15597 · 20796 · 27728 · 31194 · 41592 · 55456 · 62388 · 83184 · 110912 · 124776 · 166368 · 249552 · 332736 · 499104 (half) · 998208
Aliquot sum (sum of proper divisors): 1,864,626
Factor pairs (a × b = 998,208)
1 × 998208
2 × 499104
3 × 332736
4 × 249552
6 × 166368
8 × 124776
9 × 110912
12 × 83184
16 × 62388
18 × 55456
24 × 41592
32 × 31194
36 × 27728
48 × 20796
64 × 15597
72 × 13864
96 × 10398
144 × 6932
192 × 5199
288 × 3466
576 × 1733
First multiples
998,208 · 1,996,416 (double) · 2,994,624 · 3,992,832 · 4,991,040 · 5,989,248 · 6,987,456 · 7,985,664 · 8,983,872 · 9,982,080

Sums & aliquot sequence

As a sum of two squares: 408² + 912²
As consecutive integers: 332,735 + 332,736 + 332,737 110,908 + 110,909 + … + 110,916 7,735 + 7,736 + … + 7,862 2,408 + 2,409 + … + 2,791
Aliquot sequence: 998,208 1,864,626 1,864,638 2,175,450 3,220,038 4,203,222 4,203,234 6,205,086 7,699,266 10,418,814 16,699,266 20,650,878 24,092,730 42,490,566 49,802,778 58,103,280 154,990,224 — unresolved within range

Continued fraction of √n

√998,208 = [999; (9, 1, 1, 1, 7, 3, 1, 1, 1, 4, 1, 8, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 6, …)]

Representations

In words
nine hundred ninety-eight thousand two hundred eight
Ordinal
998208th
Binary
11110011101101000000
Octal
3635500
Hexadecimal
0xF3B40
Base64
DztA
One's complement
4,293,969,087 (32-bit)
Scientific notation
9.98208 × 10⁵
As a duration
998,208 s = 11 days, 13 hours, 16 minutes, 48 seconds
In other bases
ternary (3) 1212201021200
quaternary (4) 3303231000
quinary (5) 223420313
senary (6) 33221200
septenary (7) 11325141
nonary (9) 1781250
undecimal (11) 621a72
duodecimal (12) 401800
tridecimal (13) 28c473
tetradecimal (14) 1bdac8
pentadecimal (15) 14ab73

As an angle

998,208° = 2,772 × 360° + 288°
288° ≈ 5.027 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡϟησηʹ
Chinese
九十九萬八千二百零八
Chinese (financial)
玖拾玖萬捌仟貳佰零捌
In other modern scripts
Eastern Arabic ٩٩٨٢٠٨ Devanagari ९९८२०८ Bengali ৯৯৮২০৮ Tamil ௯௯௮௨௦௮ Thai ๙๙๘๒๐๘ Tibetan ༩༩༨༢༠༨ Khmer ៩៩៨២០៨ Lao ໙໙໘໒໐໘ Burmese ၉၉၈၂၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998208, here are decompositions:

  • 7 + 998201 = 998208
  • 11 + 998197 = 998208
  • 41 + 998167 = 998208
  • 47 + 998161 = 998208
  • 61 + 998147 = 998208
  • 97 + 998111 = 998208
  • 131 + 998077 = 998208
  • 137 + 998071 = 998208

Showing the first eight; more decompositions exist.

Hex color
#0F3B40
RGB(15, 59, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.59.64.

Address
0.15.59.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.59.64

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 998,208 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 998208 first appears in π at position 690,003 of the decimal expansion (the 690,003ordinal-suffix:rd 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°.