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998,077

998,077 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.).

998,077 (nine hundred ninety-eight thousand seventy-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF3ABD.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
40
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
770,899
Square (n²)
996,157,697,929
Cube (n³)
994,242,086,675,882,533
Divisor count
2
σ(n) — sum of divisors
998,078
φ(n) — Euler's totient
998,076

Primality

998,077 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 998077
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 998,077)
1 × 998077
First multiples
998,077 · 1,996,154 (double) · 2,994,231 · 3,992,308 · 4,990,385 · 5,988,462 · 6,986,539 · 7,984,616 · 8,982,693 · 9,980,770

Sums & aliquot sequence

As a sum of two squares: 421² + 906²
As consecutive integers: 499,038 + 499,039

Continued fraction of √n

√998,077 = [999; (26, 3, 2, 4, 2, 1, 3, 5, 2, 18, 1, 16, 3, 1, 1, 1, 1, 1, 3, 181, 2, 1, 2, 1, …)]

Representations

In words
nine hundred ninety-eight thousand seventy-seven
Ordinal
998077th
Binary
11110011101010111101
Octal
3635275
Hexadecimal
0xF3ABD
Base64
Dzq9
One's complement
4,293,969,218 (32-bit)
Scientific notation
9.98077 × 10⁵
As a duration
998,077 s = 11 days, 13 hours, 14 minutes, 37 seconds
In other bases
ternary (3) 1212201002211
quaternary (4) 3303222331
quinary (5) 223414302
senary (6) 33220421
septenary (7) 11324563
nonary (9) 1781084
undecimal (11) 621963
duodecimal (12) 401711
tridecimal (13) 28c3a2
tetradecimal (14) 1bda33
pentadecimal (15) 14aad7

As an angle

998,077° = 2,772 × 360° + 157°
157° ≈ 2.74 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡϟηοζʹ
Chinese
九十九萬八千零七十七
Chinese (financial)
玖拾玖萬捌仟零柒拾柒
In other modern scripts
Eastern Arabic ٩٩٨٠٧٧ Devanagari ९९८०७७ Bengali ৯৯৮০৭৭ Tamil ௯௯௮௦௭௭ Thai ๙๙๘๐๗๗ Tibetan ༩༩༨༠༧༧ Khmer ៩៩៨០៧៧ Lao ໙໙໘໐໗໗ Burmese ၉၉၈၀၇၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 998071, sexy with 998083.

Hex color
#0F3ABD
RGB(15, 58, 189)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.58.189.

Address
0.15.58.189
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.58.189

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 998,077 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 998077 first appears in π at position 124,853 of the decimal expansion (the 124,853ordinal-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.