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998,831

998,831 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.).

998,831 (nine hundred ninety-eight thousand eight hundred thirty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF3DAF.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Odious Number Prime Sophie Germain 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
138,899
Square (n²)
997,663,366,561
Cube (n³)
996,497,098,085,490,191
Divisor count
2
σ(n) — sum of divisors
998,832
φ(n) — Euler's totient
998,830

Primality

998,831 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 998831
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 998,831)
1 × 998831
First multiples
998,831 · 1,997,662 (double) · 2,996,493 · 3,995,324 · 4,994,155 · 5,992,986 · 6,991,817 · 7,990,648 · 8,989,479 · 9,988,310

Sums & aliquot sequence

As consecutive integers: 499,415 + 499,416

Continued fraction of √n

√998,831 = [999; (2, 2, 2, 4, 1, 3, 2, 4, 5, 1, 2, 1, 6, 1, 1, 1, 2, 1, 56, 2, 1, 1, 1, 1, …)]

Representations

In words
nine hundred ninety-eight thousand eight hundred thirty-one
Ordinal
998831st
Binary
11110011110110101111
Octal
3636657
Hexadecimal
0xF3DAF
Base64
Dz2v
One's complement
4,293,968,464 (32-bit)
Scientific notation
9.98831 × 10⁵
As a duration
998,831 s = 11 days, 13 hours, 27 minutes, 11 seconds
In other bases
ternary (3) 1212202010202
quaternary (4) 3303312233
quinary (5) 223430311
senary (6) 33224115
septenary (7) 11330021
nonary (9) 1782122
undecimal (11) 622489
duodecimal (12) 40203b
tridecimal (13) 28c832
tetradecimal (14) 1c0011
pentadecimal (15) 14ae3b

As an angle

998,831° = 2,774 × 360° + 191°
191° ≈ 3.334 rad

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ϡϟηωλαʹ
Chinese
九十九萬八千八百三十一
Chinese (financial)
玖拾玖萬捌仟捌佰參拾壹
In other modern scripts
Eastern Arabic ٩٩٨٨٣١ Devanagari ९९८८३१ Bengali ৯৯৮৮৩১ Tamil ௯௯௮௮௩௧ Thai ๙๙๘๘๓๑ Tibetan ༩༩༨༨༣༡ Khmer ៩៩៨៨៣១ Lao ໙໙໘໘໓໑ Burmese ၉၉၈၈၃၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0F3DAF
RGB(15, 61, 175)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.61.175.

Address
0.15.61.175
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.61.175

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 998,831 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 998831 first appears in π at position 991,019 of the decimal expansion (the 991,019ordinal-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.