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998,381

998,381 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.).

998,381 (nine hundred ninety-eight thousand three hundred eighty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF3BED.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
38
Digit product
15,552
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
183,899
Square (n²)
996,764,621,161
Cube (n³)
995,150,859,239,340,341
Divisor count
2
σ(n) — sum of divisors
998,382
φ(n) — Euler's totient
998,380

Primality

998,381 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 998381
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 998,381)
1 × 998381
First multiples
998,381 · 1,996,762 (double) · 2,995,143 · 3,993,524 · 4,991,905 · 5,990,286 · 6,988,667 · 7,987,048 · 8,985,429 · 9,983,810

Sums & aliquot sequence

As a sum of two squares: 355² + 934²
As consecutive integers: 499,190 + 499,191

Continued fraction of √n

√998,381 = [999; (5, 3, 1, 6, 1, 2, 3, 1, 1, 1, 1, 1, 41, 1, 8, 1, 3, 2, 1, 1, 1, 2, 1, 9, …)]

Representations

In words
nine hundred ninety-eight thousand three hundred eighty-one
Ordinal
998381st
Binary
11110011101111101101
Octal
3635755
Hexadecimal
0xF3BED
Base64
Dzvt
One's complement
4,293,968,914 (32-bit)
Scientific notation
9.98381 × 10⁵
As a duration
998,381 s = 11 days, 13 hours, 19 minutes, 41 seconds
In other bases
ternary (3) 1212201112002
quaternary (4) 3303233231
quinary (5) 223422011
senary (6) 33222045
septenary (7) 11325506
nonary (9) 1781462
undecimal (11) 62210a
duodecimal (12) 401925
tridecimal (13) 28c577
tetradecimal (14) 1bdbad
pentadecimal (15) 14ac3b

As an angle

998,381° = 2,773 × 360° + 101°
101° ≈ 1.763 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ϡϟητπαʹ
Chinese
九十九萬八千三百八十一
Chinese (financial)
玖拾玖萬捌仟參佰捌拾壹
In other modern scripts
Eastern Arabic ٩٩٨٣٨١ Devanagari ९९८३८१ Bengali ৯৯৮৩৮১ Tamil ௯௯௮௩௮௧ Thai ๙๙๘๓๘๑ Tibetan ༩༩༨༣༨༡ Khmer ៩៩៨៣៨១ Lao ໙໙໘໓໘໑ Burmese ၉၉၈၃၈၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 998377.

Hex color
#0F3BED
RGB(15, 59, 237)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.59.237.

Address
0.15.59.237
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.59.237

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 998,381 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 998381 first appears in π at position 543,626 of the decimal expansion (the 543,626ordinal-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.