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498,401

498,401 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.).

498,401 (four hundred ninety-eight thousand four hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x79AE1.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
26
Digit product
0
Digital root
8
Palindrome
No
Bit width
19 bits
Reversed
104,894
Square (n²)
248,403,556,801
Cube (n³)
123,804,581,113,175,201
Divisor count
2
σ(n) — sum of divisors
498,402
φ(n) — Euler's totient
498,400

Primality

498,401 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 498401
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 498,401)
1 × 498401
First multiples
498,401 · 996,802 (double) · 1,495,203 · 1,993,604 · 2,492,005 · 2,990,406 · 3,488,807 · 3,987,208 · 4,485,609 · 4,984,010

Sums & aliquot sequence

As a sum of two squares: 124² + 695²
As consecutive integers: 249,200 + 249,201

Continued fraction of √n

√498,401 = [705; (1, 39, 2, 1, 11, 1, 14, 1, 16, 1, 2, 2, 9, 3, 4, 2, 6, 1, 1, 33, 1, 9, 5, 2, …)]

Representations

In words
four hundred ninety-eight thousand four hundred one
Ordinal
498401st
Binary
1111001101011100001
Octal
1715341
Hexadecimal
0x79AE1
Base64
B5rh
One's complement
4,294,468,894 (32-bit)
Scientific notation
4.98401 × 10⁵
As a duration
498,401 s = 5 days, 18 hours, 26 minutes, 41 seconds
In other bases
ternary (3) 221022200022
quaternary (4) 1321223201
quinary (5) 111422101
senary (6) 14403225
septenary (7) 4144031
nonary (9) 838608
undecimal (11) 310502
duodecimal (12) 200515
tridecimal (13) 145b17
tetradecimal (14) cd8c1
pentadecimal (15) 9ca1b

As an angle

498,401° = 1,384 × 360° + 161°
161° ≈ 2.81 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵υϟηυαʹ
Chinese
四十九萬八千四百零一
Chinese (financial)
肆拾玖萬捌仟肆佰零壹
In other modern scripts
Eastern Arabic ٤٩٨٤٠١ Devanagari ४९८४०१ Bengali ৪৯৮৪০১ Tamil ௪௯௮௪௦௧ Thai ๔๙๘๔๐๑ Tibetan ༤༩༨༤༠༡ Khmer ៤៩៨៤០១ Lao ໔໙໘໔໐໑ Burmese ၄၉၈၄၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 498403, cousin with 498397.

Hex color
#079AE1
RGB(7, 154, 225)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.154.225.

Address
0.7.154.225
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.154.225

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 498,401 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 498401 first appears in π at position 174,932 of the decimal expansion (the 174,932ordinal-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.