number.wiki
Live analysis

998,429

998,429 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.).

998,429 (nine hundred ninety-eight thousand four hundred twenty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF3C1D.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
41
Digit product
46,656
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
924,899
Square (n²)
996,860,468,041
Cube (n³)
995,294,400,245,707,589
Divisor count
2
σ(n) — sum of divisors
998,430
φ(n) — Euler's totient
998,428

Primality

998,429 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 998429
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 998,429)
1 × 998429
First multiples
998,429 · 1,996,858 (double) · 2,995,287 · 3,993,716 · 4,992,145 · 5,990,574 · 6,989,003 · 7,987,432 · 8,985,861 · 9,984,290

Sums & aliquot sequence

As a sum of two squares: 698² + 715²
As consecutive integers: 499,214 + 499,215

Continued fraction of √n

√998,429 = [999; (4, 1, 2, 53, 1, 1, 1, 8, 2, 2, 1, 1, 2, 4, 1, 4, 1, 10, 2, 1, 35, 1, 1, 1, …)]

Representations

In words
nine hundred ninety-eight thousand four hundred twenty-nine
Ordinal
998429th
Binary
11110011110000011101
Octal
3636035
Hexadecimal
0xF3C1D
Base64
Dzwd
One's complement
4,293,968,866 (32-bit)
Scientific notation
9.98429 × 10⁵
As a duration
998,429 s = 11 days, 13 hours, 20 minutes, 29 seconds
In other bases
ternary (3) 1212201120212
quaternary (4) 3303300131
quinary (5) 223422204
senary (6) 33222205
septenary (7) 11325605
nonary (9) 1781525
undecimal (11) 622153
duodecimal (12) 401965
tridecimal (13) 28c5b3
tetradecimal (14) 1bdc05
pentadecimal (15) 14ac6e

As an angle

998,429° = 2,773 × 360° + 149°
149° ≈ 2.601 rad

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡϟηυκθʹ
Chinese
九十九萬八千四百二十九
Chinese (financial)
玖拾玖萬捌仟肆佰貳拾玖
In other modern scripts
Eastern Arabic ٩٩٨٤٢٩ Devanagari ९९८४२९ Bengali ৯৯৮৪২৯ Tamil ௯௯௮௪௨௯ Thai ๙๙๘๔๒๙ Tibetan ༩༩༨༤༢༩ Khmer ៩៩៨៤២៩ Lao ໙໙໘໔໒໙ Burmese ၉၉၈၄၂၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 998423.

Hex color
#0F3C1D
RGB(15, 60, 29)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.60.29.

Address
0.15.60.29
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.60.29

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 998,429 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 998429 first appears in π at position 633,052 of the decimal expansion (the 633,052ordinal-suffix:nd 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.