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998,689

998,689 is a prime, odd.

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.).

998,689 (nine hundred ninety-eight thousand six hundred eighty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF3D21.

Arithmetic Number Cube-Free Deficient Number Flippable Odious Number Pernicious Number Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
49
Digit product
279,936
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
986,899
Flips to (rotate 180°)
689,866
Square (n²)
997,379,718,721
Cube (n³)
996,072,153,909,756,769
Divisor count
2
σ(n) — sum of divisors
998,690
φ(n) — Euler's totient
998,688

Primality

998,689 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 998689
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 998,689)
1 × 998689
First multiples
998,689 · 1,997,378 (double) · 2,996,067 · 3,994,756 · 4,993,445 · 5,992,134 · 6,990,823 · 7,989,512 · 8,988,201 · 9,986,890

Sums & aliquot sequence

As a sum of two squares: 180² + 983²
As consecutive integers: 499,344 + 499,345

Continued fraction of √n

√998,689 = [999; (2, 1, 9, 2, 11, 2, 1, 5, 1, 1, 3, 12, 2, 4, 3, 5, 51, 16, 1, 1, 1, 2, 1, 50, …)]

Representations

In words
nine hundred ninety-eight thousand six hundred eighty-nine
Ordinal
998689th
Binary
11110011110100100001
Octal
3636441
Hexadecimal
0xF3D21
Base64
Dz0h
One's complement
4,293,968,606 (32-bit)
Scientific notation
9.98689 × 10⁵
As a duration
998,689 s = 11 days, 13 hours, 24 minutes, 49 seconds
In other bases
ternary (3) 1212201221111
quaternary (4) 3303310201
quinary (5) 223424224
senary (6) 33223321
septenary (7) 11326426
nonary (9) 1781844
undecimal (11) 62236a
duodecimal (12) 401b41
tridecimal (13) 28c753
tetradecimal (14) 1bdd4d
pentadecimal (15) 14ad94

As an angle

998,689° = 2,774 × 360° + 49°
49° ≈ 0.855 rad

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡϟηχπθʹ
Chinese
九十九萬八千六百八十九
Chinese (financial)
玖拾玖萬捌仟陸佰捌拾玖
In other modern scripts
Eastern Arabic ٩٩٨٦٨٩ Devanagari ९९८६८९ Bengali ৯৯৮৬৮৯ Tamil ௯௯௮௬௮௯ Thai ๙๙๘๖๘๙ Tibetan ༩༩༨༦༨༩ Khmer ៩៩៨៦៨៩ Lao ໙໙໘໖໘໙ Burmese ၉၉၈၆၈၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 998687.

Hex color
#0F3D21
RGB(15, 61, 33)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.61.33.

Address
0.15.61.33
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.61.33

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 998,689 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 998689 first appears in π at position 314,194 of the decimal expansion (the 314,194ordinal-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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.