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998,201

998,201 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.).

998,201 (nine hundred ninety-eight thousand two hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF3B39.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
29
Digit product
0
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
102,899
Square (n²)
996,405,236,401
Cube (n³)
994,612,703,380,714,601
Divisor count
2
σ(n) — sum of divisors
998,202
φ(n) — Euler's totient
998,200

Primality

998,201 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 998201
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 998,201)
1 × 998201
First multiples
998,201 · 1,996,402 (double) · 2,994,603 · 3,992,804 · 4,991,005 · 5,989,206 · 6,987,407 · 7,985,608 · 8,983,809 · 9,982,010

Sums & aliquot sequence

As a sum of two squares: 565² + 824²
As consecutive integers: 499,100 + 499,101

Continued fraction of √n

√998,201 = [999; (9, 1, 104, 3, 1, 2, 1, 1, 1, 3, 1, 4, 1, 3, 64, 5, 12, 4, 1, 2, 1, 1, 2, 3, …)]

Representations

In words
nine hundred ninety-eight thousand two hundred one
Ordinal
998201st
Binary
11110011101100111001
Octal
3635471
Hexadecimal
0xF3B39
Base64
Dzs5
One's complement
4,293,969,094 (32-bit)
Scientific notation
9.98201 × 10⁵
As a duration
998,201 s = 11 days, 13 hours, 16 minutes, 41 seconds
In other bases
ternary (3) 1212201021102
quaternary (4) 3303230321
quinary (5) 223420301
senary (6) 33221145
septenary (7) 11325131
nonary (9) 1781242
undecimal (11) 621a66
duodecimal (12) 4017b5
tridecimal (13) 28c469
tetradecimal (14) 1bdac1
pentadecimal (15) 14ab6b

As an angle

998,201° = 2,772 × 360° + 281°
281° ≈ 4.904 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓏺
Greek (Milesian)
͵ϡϟησαʹ
Chinese
九十九萬八千二百零一
Chinese (financial)
玖拾玖萬捌仟貳佰零壹
In other modern scripts
Eastern Arabic ٩٩٨٢٠١ Devanagari ९९८२०१ Bengali ৯৯৮২০১ Tamil ௯௯௮௨௦௧ Thai ๙๙๘๒๐๑ Tibetan ༩༩༨༢༠༡ Khmer ៩៩៨២០១ Lao ໙໙໘໒໐໑ Burmese ၉၉၈၂၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 998197.

Hex color
#0F3B39
RGB(15, 59, 57)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.59.57.

Address
0.15.59.57
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.59.57

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 998,201 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 998201 first appears in π at position 984,622 of the decimal expansion (the 984,622ordinal-suffix:nd 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.