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998,017

998,017 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.).

998,017 (nine hundred ninety-eight thousand seventeen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF3A81.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
34
Digit product
0
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
710,899
Square (n²)
996,037,932,289
Cube (n³)
994,062,789,069,270,913
Divisor count
2
σ(n) — sum of divisors
998,018
φ(n) — Euler's totient
998,016

Primality

998,017 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 998017
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 998,017)
1 × 998017
First multiples
998,017 · 1,996,034 (double) · 2,994,051 · 3,992,068 · 4,990,085 · 5,988,102 · 6,986,119 · 7,984,136 · 8,982,153 · 9,980,170

Sums & aliquot sequence

As a sum of two squares: 4² + 999²
As consecutive integers: 499,008 + 499,009

Continued fraction of √n

√998,017 = [999; (124, 1, 7, 31, 10, 1, 1, 1, 7, 6, 1, 2, 1, 3, 1, 1, 6, 5, 1, 15, 2, 2, 5, 1, …)]

Representations

In words
nine hundred ninety-eight thousand seventeen
Ordinal
998017th
Binary
11110011101010000001
Octal
3635201
Hexadecimal
0xF3A81
Base64
DzqB
One's complement
4,293,969,278 (32-bit)
Scientific notation
9.98017 × 10⁵
As a duration
998,017 s = 11 days, 13 hours, 13 minutes, 37 seconds
In other bases
ternary (3) 1212201000121
quaternary (4) 3303222001
quinary (5) 223414032
senary (6) 33220241
septenary (7) 11324446
nonary (9) 1781017
undecimal (11) 621909
duodecimal (12) 401681
tridecimal (13) 28c357
tetradecimal (14) 1bd9cd
pentadecimal (15) 14aa97

As an angle

998,017° = 2,772 × 360° + 97°
97° ≈ 1.693 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡϟηιζʹ
Chinese
九十九萬八千零一十七
Chinese (financial)
玖拾玖萬捌仟零壹拾柒
In other modern scripts
Eastern Arabic ٩٩٨٠١٧ Devanagari ९९८०१७ Bengali ৯৯৮০১৭ Tamil ௯௯௮௦௧௭ Thai ๙๙๘๐๑๗ Tibetan ༩༩༨༠༡༧ Khmer ៩៩៨០១៧ Lao ໙໙໘໐໑໗ Burmese ၉၉၈၀၁၇

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0F3A81
RGB(15, 58, 129)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.58.129.

Address
0.15.58.129
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.58.129

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 998,017 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

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.