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498,397

498,397 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.).

498,397 (four hundred ninety-eight thousand three hundred ninety-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x79ADD.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
40
Digit product
54,432
Digital root
4
Palindrome
No
Bit width
19 bits
Reversed
793,894
Square (n²)
248,399,569,609
Cube (n³)
123,801,600,294,416,773
Divisor count
2
σ(n) — sum of divisors
498,398
φ(n) — Euler's totient
498,396

Primality

498,397 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 498397
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 498,397)
1 × 498397
First multiples
498,397 · 996,794 (double) · 1,495,191 · 1,993,588 · 2,491,985 · 2,990,382 · 3,488,779 · 3,987,176 · 4,485,573 · 4,983,970

Sums & aliquot sequence

As a sum of two squares: 411² + 574²
As consecutive integers: 249,198 + 249,199

Continued fraction of √n

√498,397 = [705; (1, 35, 4, 1, 8, 4, 352, 1, 2, 1, 8, 3, 3, 8, 1, 2, 1, 352, 4, 8, 1, 4, 35, 1, …)]

Period length 25 — the block in parentheses repeats forever.

Representations

In words
four hundred ninety-eight thousand three hundred ninety-seven
Ordinal
498397th
Binary
1111001101011011101
Octal
1715335
Hexadecimal
0x79ADD
Base64
B5rd
One's complement
4,294,468,898 (32-bit)
Scientific notation
4.98397 × 10⁵
As a duration
498,397 s = 5 days, 18 hours, 26 minutes, 37 seconds
In other bases
ternary (3) 221022200011
quaternary (4) 1321223131
quinary (5) 111422042
senary (6) 14403221
septenary (7) 4144024
nonary (9) 838604
undecimal (11) 3104a9
duodecimal (12) 200511
tridecimal (13) 145b13
tetradecimal (14) cd8bb
pentadecimal (15) 9ca17

As an angle

498,397° = 1,384 × 360° + 157°
157° ≈ 2.74 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υϟητϟζʹ
Chinese
四十九萬八千三百九十七
Chinese (financial)
肆拾玖萬捌仟參佰玖拾柒
In other modern scripts
Eastern Arabic ٤٩٨٣٩٧ Devanagari ४९८३९७ Bengali ৪৯৮৩৯৭ Tamil ௪௯௮௩௯௭ Thai ๔๙๘๓๙๗ Tibetan ༤༩༨༣༩༧ Khmer ៤៩៨៣៩៧ Lao ໔໙໘໓໙໗ Burmese ၄၉၈၃၉၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 498401, sexy with 498391.

Hex color
#079ADD
RGB(7, 154, 221)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.154.221.

Address
0.7.154.221
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.154.221

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 498,397 and was likely granted around 1893.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 498397 first appears in π at position 182,317 of the decimal expansion (the 182,317ordinal-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.