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1,048,589

1,048,589 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.).

1,048,589 (one million forty-eight thousand five hundred eighty-nine) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x10000D.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
35
Digit product
0
Digital root
8
Palindrome
No
Bit width
21 bits
Reversed
9,858,401
Square (n²)
1,099,538,890,921
Cube (n³)
1,152,964,386,091,960,469
Divisor count
2
σ(n) — sum of divisors
1,048,590
φ(n) — Euler's totient
1,048,588

Primality

1,048,589 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1048589
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,048,589)
1 × 1048589
First multiples
1,048,589 · 2,097,178 (double) · 3,145,767 · 4,194,356 · 5,242,945 · 6,291,534 · 7,340,123 · 8,388,712 · 9,437,301 · 10,485,890

Sums & aliquot sequence

As a sum of two squares: 242² + 995²
As consecutive integers: 524,294 + 524,295

Continued fraction of √n

√1,048,589 = [1024; (157, 1, 1, 5, 1, 11, 3, 1, 2, 16, 6, 1, 1, 9, 1, 6, 26, 1, 4, 14, 1, 1, 7, 4, …)]

Representations

In words
one million forty-eight thousand five hundred eighty-nine
Ordinal
1048589th
Binary
100000000000000001101
Octal
4000015
Hexadecimal
0x10000D
Base64
EAAN
One's complement
4,293,918,706 (32-bit)
Scientific notation
1.048589 × 10⁶
As a duration
1,048,589 s = 12 days, 3 hours, 16 minutes, 29 seconds
In other bases
ternary (3) 1222021101122
quaternary (4) 10000000031
quinary (5) 232023324
senary (6) 34250325
septenary (7) 11625053
nonary (9) 1867348
undecimal (11) 656903
duodecimal (12) 4269a5
tridecimal (13) 2a9389
tetradecimal (14) 1d41d3
pentadecimal (15) 15aa5e

As an angle

1,048,589° = 2,912 × 360° + 269°
269° ≈ 4.695 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零四萬八千五百八十九
Chinese (financial)
壹佰零肆萬捌仟伍佰捌拾玖
In other modern scripts
Eastern Arabic ١٠٤٨٥٨٩ Devanagari १०४८५८९ Bengali ১০৪৮৫৮৯ Tamil ௧௦௪௮௫௮௯ Thai ๑๐๔๘๕๘๙ Tibetan ༡༠༤༨༥༨༩ Khmer ១០៤៨៥៨៩ Lao ໑໐໔໘໕໘໙ Burmese ၁၀၄၈၅၈၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 1048583.

Hex color
#10000D
RGB(16, 0, 13)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.0.13.

Address
0.16.0.13
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.0.13

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 4, 8589 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 8589-04-01 (DMMYYYY (Euro, single-digit day))
  • 8589-10-04 (MMDYYYY (US, single-digit day))
  • 8589-04-10 (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 1,048,589 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.