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998,117

998,117 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.).

998,117 (nine hundred ninety-eight thousand one hundred seventeen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF3AE5.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
35
Digit product
4,536
Digital root
8
Palindrome
No
Bit width
20 bits
Reversed
711,899
Square (n²)
996,237,545,689
Cube (n³)
994,361,630,390,467,613
Divisor count
2
σ(n) — sum of divisors
998,118
φ(n) — Euler's totient
998,116

Primality

998,117 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 998117
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 998,117)
1 × 998117
First multiples
998,117 · 1,996,234 (double) · 2,994,351 · 3,992,468 · 4,990,585 · 5,988,702 · 6,986,819 · 7,984,936 · 8,983,053 · 9,981,170

Sums & aliquot sequence

As a sum of two squares: 161² + 986²
As consecutive integers: 499,058 + 499,059

Continued fraction of √n

√998,117 = [999; (17, 4, 2, 4, 1, 1, 1, 70, 1, 2, 1, 1, 9, 3, 1, 2, 5, 7, 1, 9, 3, 6, 3, 6, …)]

Representations

In words
nine hundred ninety-eight thousand one hundred seventeen
Ordinal
998117th
Binary
11110011101011100101
Octal
3635345
Hexadecimal
0xF3AE5
Base64
Dzrl
One's complement
4,293,969,178 (32-bit)
Scientific notation
9.98117 × 10⁵
As a duration
998,117 s = 11 days, 13 hours, 15 minutes, 17 seconds
In other bases
ternary (3) 1212201011022
quaternary (4) 3303223211
quinary (5) 223414432
senary (6) 33220525
septenary (7) 11324651
nonary (9) 1781138
undecimal (11) 62199a
duodecimal (12) 401745
tridecimal (13) 28c403
tetradecimal (14) 1bda61
pentadecimal (15) 14ab12

As an angle

998,117° = 2,772 × 360° + 197°
197° ≈ 3.438 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡϟηριζʹ
Chinese
九十九萬八千一百一十七
Chinese (financial)
玖拾玖萬捌仟壹佰壹拾柒
In other modern scripts
Eastern Arabic ٩٩٨١١٧ Devanagari ९९८११७ Bengali ৯৯৮১১৭ Tamil ௯௯௮௧௧௭ Thai ๙๙๘๑๑๗ Tibetan ༩༩༨༡༡༧ Khmer ៩៩៨១១៧ Lao ໙໙໘໑໑໗ Burmese ၉၉၈၁၁၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 998111.

Hex color
#0F3AE5
RGB(15, 58, 229)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.58.229.

Address
0.15.58.229
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.58.229

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 998,117 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 998117 first appears in π at position 185,080 of the decimal expansion (the 185,080ordinal-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.