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998,071

998,071 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.).

998,071 (nine hundred ninety-eight thousand seventy-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF3AB7.

Arithmetic Number Cube-Free Deficient Number Emirp Evil Number Prime Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
34
Digit product
0
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
170,899
Square (n²)
996,145,721,041
Cube (n³)
994,224,155,945,111,911
Divisor count
2
σ(n) — sum of divisors
998,072
φ(n) — Euler's totient
998,070

Primality

998,071 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 998071
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 998,071)
1 × 998071
First multiples
998,071 · 1,996,142 (double) · 2,994,213 · 3,992,284 · 4,990,355 · 5,988,426 · 6,986,497 · 7,984,568 · 8,982,639 · 9,980,710

Sums & aliquot sequence

As consecutive integers: 499,035 + 499,036

Continued fraction of √n

√998,071 = [999; (28, 1, 1, 5, 3, 1, 3, 6, 2, 1, 2, 5, 4, 2, 5, 1, 5, 8, 2, 1, 2, 1, 1, 3, …)]

Representations

In words
nine hundred ninety-eight thousand seventy-one
Ordinal
998071st
Binary
11110011101010110111
Octal
3635267
Hexadecimal
0xF3AB7
Base64
Dzq3
One's complement
4,293,969,224 (32-bit)
Scientific notation
9.98071 × 10⁵
As a duration
998,071 s = 11 days, 13 hours, 14 minutes, 31 seconds
In other bases
ternary (3) 1212201002121
quaternary (4) 3303222313
quinary (5) 223414241
senary (6) 33220411
septenary (7) 11324554
nonary (9) 1781077
undecimal (11) 621958
duodecimal (12) 401707
tridecimal (13) 28c399
tetradecimal (14) 1bda2b
pentadecimal (15) 14aad1

As an angle

998,071° = 2,772 × 360° + 151°
151° ≈ 2.635 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ϡϟηοαʹ
Chinese
九十九萬八千零七十一
Chinese (financial)
玖拾玖萬捌仟零柒拾壹
In other modern scripts
Eastern Arabic ٩٩٨٠٧١ Devanagari ९९८०७१ Bengali ৯৯৮০৭১ Tamil ௯௯௮௦௭௧ Thai ๙๙๘๐๗๑ Tibetan ༩༩༨༠༧༡ Khmer ៩៩៨០៧១ Lao ໙໙໘໐໗໑ Burmese ၉၉၈၀၇၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 998069, sexy with 998077.

Hex color
#0F3AB7
RGB(15, 58, 183)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.58.183.

Address
0.15.58.183
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.58.183

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 998,071 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 998071 first appears in π at position 343,523 of the decimal expansion (the 343,523ordinal-suffix:rd 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.