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998,813

998,813 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.).

998,813 (nine hundred ninety-eight thousand eight hundred thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF3D9D.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
38
Digit product
15,552
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
318,899
Square (n²)
997,627,408,969
Cube (n³)
996,443,225,234,553,797
Divisor count
2
σ(n) — sum of divisors
998,814
φ(n) — Euler's totient
998,812

Primality

998,813 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 998813
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 998,813)
1 × 998813
First multiples
998,813 · 1,997,626 (double) · 2,996,439 · 3,995,252 · 4,994,065 · 5,992,878 · 6,991,691 · 7,990,504 · 8,989,317 · 9,988,130

Sums & aliquot sequence

As a sum of two squares: 53² + 998²
As consecutive integers: 499,406 + 499,407

Continued fraction of √n

√998,813 = [999; (2, 2, 5, 1, 12, 2, 1, 1, 5, 2, 11, 10, 1, 1, 5, 10, 1, 68, 71, 2, 1, 2, 4, 3, …)]

Representations

In words
nine hundred ninety-eight thousand eight hundred thirteen
Ordinal
998813th
Binary
11110011110110011101
Octal
3636635
Hexadecimal
0xF3D9D
Base64
Dz2d
One's complement
4,293,968,482 (32-bit)
Scientific notation
9.98813 × 10⁵
As a duration
998,813 s = 11 days, 13 hours, 26 minutes, 53 seconds
In other bases
ternary (3) 1212202010002
quaternary (4) 3303312131
quinary (5) 223430223
senary (6) 33224045
septenary (7) 11326664
nonary (9) 1782102
undecimal (11) 622472
duodecimal (12) 402025
tridecimal (13) 28c81a
tetradecimal (14) 1bdddb
pentadecimal (15) 14ae28

As an angle

998,813° = 2,774 × 360° + 173°
173° ≈ 3.019 rad

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ϡϟηωιγʹ
Chinese
九十九萬八千八百一十三
Chinese (financial)
玖拾玖萬捌仟捌佰壹拾參
In other modern scripts
Eastern Arabic ٩٩٨٨١٣ Devanagari ९९८८१३ Bengali ৯৯৮৮১৩ Tamil ௯௯௮௮௧௩ Thai ๙๙๘๘๑๓ Tibetan ༩༩༨༨༡༣ Khmer ៩៩៨៨១៣ Lao ໙໙໘໘໑໓ Burmese ၉၉၈၈၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 998819.

Hex color
#0F3D9D
RGB(15, 61, 157)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.61.157.

Address
0.15.61.157
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.61.157

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 998,813 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 998813 first appears in π at position 305,183 of the decimal expansion (the 305,183ordinal-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

  • 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.