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998,237

998,237 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.).

998,237 (nine hundred ninety-eight thousand two hundred thirty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF3B5D.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Self Number Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
38
Digit product
27,216
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
732,899
Square (n²)
996,477,108,169
Cube (n³)
994,720,319,027,298,053
Divisor count
2
σ(n) — sum of divisors
998,238
φ(n) — Euler's totient
998,236

Primality

998,237 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 998237
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 998,237)
1 × 998237
First multiples
998,237 · 1,996,474 (double) · 2,994,711 · 3,992,948 · 4,991,185 · 5,989,422 · 6,987,659 · 7,985,896 · 8,984,133 · 9,982,370

Sums & aliquot sequence

As a sum of two squares: 101² + 994²
As consecutive integers: 499,118 + 499,119

Continued fraction of √n

√998,237 = [999; (8, 2, 6, 1, 68, 25, 1, 14, 1, 3, 2, 1, 1, 13, 1, 3, 1, 1, 1, 6, 1, 2, 1, 2, …)]

Representations

In words
nine hundred ninety-eight thousand two hundred thirty-seven
Ordinal
998237th
Binary
11110011101101011101
Octal
3635535
Hexadecimal
0xF3B5D
Base64
Dztd
One's complement
4,293,969,058 (32-bit)
Scientific notation
9.98237 × 10⁵
As a duration
998,237 s = 11 days, 13 hours, 17 minutes, 17 seconds
In other bases
ternary (3) 1212201022202
quaternary (4) 3303231131
quinary (5) 223420422
senary (6) 33221245
septenary (7) 11325212
nonary (9) 1781282
undecimal (11) 621a99
duodecimal (12) 401825
tridecimal (13) 28c496
tetradecimal (14) 1bdb09
pentadecimal (15) 14ab92

As an angle

998,237° = 2,772 × 360° + 317°
317° ≈ 5.533 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡϟησλζʹ
Chinese
九十九萬八千二百三十七
Chinese (financial)
玖拾玖萬捌仟貳佰參拾柒
In other modern scripts
Eastern Arabic ٩٩٨٢٣٧ Devanagari ९९८२३७ Bengali ৯৯৮২৩৭ Tamil ௯௯௮௨௩௭ Thai ๙๙๘๒๓๗ Tibetan ༩༩༨༢༣༧ Khmer ៩៩៨២៣៧ Lao ໙໙໘໒໓໗ Burmese ၉၉၈၂၃၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 998243.

Hex color
#0F3B5D
RGB(15, 59, 93)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.59.93.

Address
0.15.59.93
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.59.93

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 998,237 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 998237 first appears in π at position 630,484 of the decimal expansion (the 630,484ordinal-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.