number.wiki
Live analysis

1,048,361

1,048,361 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.).

1,048,361 (one million forty-eight thousand three hundred sixty-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xFFF29.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
1,638,401
Square (n²)
1,099,060,786,321
Cube (n³)
1,152,212,465,008,269,881
Divisor count
2
σ(n) — sum of divisors
1,048,362
φ(n) — Euler's totient
1,048,360

Primality

1,048,361 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1048361
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,048,361)
1 × 1048361
First multiples
1,048,361 · 2,096,722 (double) · 3,145,083 · 4,193,444 · 5,241,805 · 6,290,166 · 7,338,527 · 8,386,888 · 9,435,249 · 10,483,610

Sums & aliquot sequence

As a sum of two squares: 100² + 1,019²
As consecutive integers: 524,180 + 524,181

Continued fraction of √n

√1,048,361 = [1023; (1, 8, 1, 1, 9, 2, 6, 4, 5, 2, 3, 5, 1, 20, 1, 2, 1, 1, 50, 1, 1, 1, 1, 1, …)]

Representations

In words
one million forty-eight thousand three hundred sixty-one
Ordinal
1048361st
Binary
11111111111100101001
Octal
3777451
Hexadecimal
0xFFF29
Base64
D/8p
One's complement
4,293,918,934 (32-bit)
Scientific notation
1.048361 × 10⁶
As a duration
1,048,361 s = 12 days, 3 hours, 12 minutes, 41 seconds
In other bases
ternary (3) 1222021002012
quaternary (4) 3333330221
quinary (5) 232021421
senary (6) 34245305
septenary (7) 11624306
nonary (9) 1867065
undecimal (11) 656716
duodecimal (12) 426835
tridecimal (13) 2a9242
tetradecimal (14) 1d40ad
pentadecimal (15) 15a95b

As an angle

1,048,361° = 2,912 × 360° + 41°
41° ≈ 0.716 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Chinese
一百零四萬八千三百六十一
Chinese (financial)
壹佰零肆萬捌仟參佰陸拾壹
In other modern scripts
Eastern Arabic ١٠٤٨٣٦١ Devanagari १०४८३६१ Bengali ১০৪৮৩৬১ Tamil ௧௦௪௮௩௬௧ Thai ๑๐๔๘๓๖๑ Tibetan ༡༠༤༨༣༦༡ Khmer ១០៤៨៣៦១ Lao ໑໐໔໘໓໖໑ Burmese ၁၀၄၈၃၆၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 1048357, sexy with 1048367.

Hex color
#0FFF29
RGB(15, 255, 41)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.255.41.

Address
0.15.255.41
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.255.41

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 4, 8361 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 8361-04-01 (DMMYYYY (Euro, single-digit day))
  • 8361-10-04 (MMDYYYY (US, single-digit day))
  • 8361-04-10 (DDMYYYY (Euro, single-digit month))
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 1,048,361 and was likely granted around 1912.

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

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.