number.wiki
Live analysis

998,608

998,608 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.).

998,608 (nine hundred ninety-eight thousand six hundred eight) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 13 × 4,801. Its proper divisors sum to 1,085,460, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3CD0.

Abundant Number Flippable Happy Number Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
40
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
806,899
Flips to (rotate 180°)
809,866
Square (n²)
997,217,937,664
Cube (n³)
995,829,810,294,771,712
Divisor count
20
σ(n) — sum of divisors
2,084,068
φ(n) — Euler's totient
460,800
Sum of prime factors
4,822

Primality

Prime factorization: 2 4 × 13 × 4801

Nearest primes: 998,561 (−47) · 998,617 (+9)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 13 · 16 · 26 · 52 · 104 · 208 · 4801 · 9602 · 19204 · 38408 · 62413 · 76816 · 124826 · 249652 · 499304 (half) · 998608
Aliquot sum (sum of proper divisors): 1,085,460
Factor pairs (a × b = 998,608)
1 × 998608
2 × 499304
4 × 249652
8 × 124826
13 × 76816
16 × 62413
26 × 38408
52 × 19204
104 × 9602
208 × 4801
First multiples
998,608 · 1,997,216 (double) · 2,995,824 · 3,994,432 · 4,993,040 · 5,991,648 · 6,990,256 · 7,988,864 · 8,987,472 · 9,986,080

Sums & aliquot sequence

As a sum of two squares: 232² + 972² = 588² + 808²
As consecutive integers: 76,810 + 76,811 + … + 76,822 31,191 + 31,192 + … + 31,222 2,193 + 2,194 + … + 2,608
Aliquot sequence: 998,608 1,085,460 2,005,740 4,637,988 7,085,906 4,168,234 3,105,080 4,517,560 5,647,040 9,727,072 9,532,784 10,273,984 16,060,736 15,809,914 7,904,960 13,613,920 18,549,344 — unresolved within range

Continued fraction of √n

√998,608 = [999; (3, 3, 2, 2, 1, 3, 3, 4, 1, 221, 3, 1, 9, 1, 2, 2, 30, 1, 4, 24, 2, 8, 1, 2, …)]

Representations

In words
nine hundred ninety-eight thousand six hundred eight
Ordinal
998608th
Binary
11110011110011010000
Octal
3636320
Hexadecimal
0xF3CD0
Base64
DzzQ
One's complement
4,293,968,687 (32-bit)
Scientific notation
9.98608 × 10⁵
As a duration
998,608 s = 11 days, 13 hours, 23 minutes, 28 seconds
In other bases
ternary (3) 1212201211111
quaternary (4) 3303303100
quinary (5) 223423413
senary (6) 33223104
septenary (7) 11326252
nonary (9) 1781744
undecimal (11) 6222a6
duodecimal (12) 401a94
tridecimal (13) 28c6c0
tetradecimal (14) 1bdcd2
pentadecimal (15) 14ad3d

As an angle

998,608° = 2,773 × 360° + 328°
328° ≈ 5.725 rad

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡϟηχηʹ
Chinese
九十九萬八千六百零八
Chinese (financial)
玖拾玖萬捌仟陸佰零捌
In other modern scripts
Eastern Arabic ٩٩٨٦٠٨ Devanagari ९९८६०८ Bengali ৯৯৮৬০৮ Tamil ௯௯௮௬௦௮ Thai ๙๙๘๖๐๘ Tibetan ༩༩༨༦༠༨ Khmer ៩៩៨៦០៨ Lao ໙໙໘໖໐໘ Burmese ၉၉၈၆၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998608, here are decompositions:

  • 47 + 998561 = 998608
  • 71 + 998537 = 998608
  • 137 + 998471 = 998608
  • 179 + 998429 = 998608
  • 197 + 998411 = 998608
  • 227 + 998381 = 998608
  • 389 + 998219 = 998608
  • 461 + 998147 = 998608

Showing the first eight; more decompositions exist.

Hex color
#0F3CD0
RGB(15, 60, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.60.208.

Address
0.15.60.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.60.208

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 998,608 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 998608 first appears in π at position 157,478 of the decimal expansion (the 157,478ordinal-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°.