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998,213

998,213 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.).

998,213 (nine hundred ninety-eight thousand two hundred thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF3B45.

Arithmetic Number Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Self Number Sexy Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
32
Digit product
3,888
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
312,899
Square (n²)
996,429,193,369
Cube (n³)
994,648,574,400,449,597
Divisor count
2
σ(n) — sum of divisors
998,214
φ(n) — Euler's totient
998,212

Primality

998,213 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 998213
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 998,213)
1 × 998213
First multiples
998,213 · 1,996,426 (double) · 2,994,639 · 3,992,852 · 4,991,065 · 5,989,278 · 6,987,491 · 7,985,704 · 8,983,917 · 9,982,130

Sums & aliquot sequence

As a sum of two squares: 47² + 998²
As consecutive integers: 499,106 + 499,107

Continued fraction of √n

√998,213 = [999; (9, 2, 2, 1, 5, 21, 1, 1, 5, 9, 1, 6, 7, 2, 4, 1, 4, 7, 1, 3, 18, 13, 2, 4, …)]

Representations

In words
nine hundred ninety-eight thousand two hundred thirteen
Ordinal
998213th
Binary
11110011101101000101
Octal
3635505
Hexadecimal
0xF3B45
Base64
DztF
One's complement
4,293,969,082 (32-bit)
Scientific notation
9.98213 × 10⁵
As a duration
998,213 s = 11 days, 13 hours, 16 minutes, 53 seconds
In other bases
ternary (3) 1212201021212
quaternary (4) 3303231011
quinary (5) 223420323
senary (6) 33221205
septenary (7) 11325146
nonary (9) 1781255
undecimal (11) 621a77
duodecimal (12) 401805
tridecimal (13) 28c478
tetradecimal (14) 1bdacd
pentadecimal (15) 14ab78

As an angle

998,213° = 2,772 × 360° + 293°
293° ≈ 5.114 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ϡϟησιγʹ
Chinese
九十九萬八千二百一十三
Chinese (financial)
玖拾玖萬捌仟貳佰壹拾參
In other modern scripts
Eastern Arabic ٩٩٨٢١٣ Devanagari ९९८२१३ Bengali ৯৯৮২১৩ Tamil ௯௯௮௨௧௩ Thai ๙๙๘๒๑๓ Tibetan ༩༩༨༢༡༣ Khmer ៩៩៨២១៣ Lao ໙໙໘໒໑໓ Burmese ၉၉၈၂၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 998219.

Hex color
#0F3B45
RGB(15, 59, 69)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.59.69.

Address
0.15.59.69
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.59.69

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 998,213 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 998213 first appears in π at position 513,513 of the decimal expansion (the 513,513ordinal-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.