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998,353

998,353 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.).

998,353 (nine hundred ninety-eight thousand three hundred fifty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF3BD1.

Arithmetic Number Balanced Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
37
Digit product
29,160
Digital root
1
Palindrome
No
Bit width
20 bits
Reversed
353,899
Square (n²)
996,708,712,609
Cube (n³)
995,067,133,359,332,977
Divisor count
2
σ(n) — sum of divisors
998,354
φ(n) — Euler's totient
998,352

Primality

998,353 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 998353
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 998,353)
1 × 998353
First multiples
998,353 · 1,996,706 (double) · 2,995,059 · 3,993,412 · 4,991,765 · 5,990,118 · 6,988,471 · 7,986,824 · 8,985,177 · 9,983,530

Sums & aliquot sequence

As a sum of two squares: 417² + 908²
As consecutive integers: 499,176 + 499,177

Continued fraction of √n

√998,353 = [999; (5, 1, 2, 10, 1, 4, 3, 2, 2, 1, 3, 13, 7, 27, 1, 1, 1, 1, 2, 2, 1, 5, 1, 6, …)]

Representations

In words
nine hundred ninety-eight thousand three hundred fifty-three
Ordinal
998353rd
Binary
11110011101111010001
Octal
3635721
Hexadecimal
0xF3BD1
Base64
DzvR
One's complement
4,293,968,942 (32-bit)
Scientific notation
9.98353 × 10⁵
As a duration
998,353 s = 11 days, 13 hours, 19 minutes, 13 seconds
In other bases
ternary (3) 1212201111001
quaternary (4) 3303233101
quinary (5) 223421403
senary (6) 33222001
septenary (7) 11325436
nonary (9) 1781431
undecimal (11) 622094
duodecimal (12) 401901
tridecimal (13) 28c555
tetradecimal (14) 1bdb8d
pentadecimal (15) 14ac1d

As an angle

998,353° = 2,773 × 360° + 73°
73° ≈ 1.274 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ϡϟητνγʹ
Chinese
九十九萬八千三百五十三
Chinese (financial)
玖拾玖萬捌仟參佰伍拾參
In other modern scripts
Eastern Arabic ٩٩٨٣٥٣ Devanagari ९९८३५३ Bengali ৯৯৮৩৫৩ Tamil ௯௯௮௩௫௩ Thai ๙๙๘๓๕๓ Tibetan ༩༩༨༣༥༣ Khmer ៩៩៨៣៥៣ Lao ໙໙໘໓໕໓ Burmese ၉၉၈၃၅၃

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0F3BD1
RGB(15, 59, 209)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.59.209.

Address
0.15.59.209
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.59.209

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 998,353 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 998353 first appears in π at position 316,407 of the decimal expansion (the 316,407ordinal-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.