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1,048,609

1,048,609 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.).

1,048,609 (one million forty-eight thousand six hundred nine) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x100021.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
28
Digit product
0
Digital root
1
Palindrome
No
Bit width
21 bits
Reversed
9,068,401
Square (n²)
1,099,580,834,881
Cube (n³)
1,153,030,359,683,730,529
Divisor count
2
σ(n) — sum of divisors
1,048,610
φ(n) — Euler's totient
1,048,608

Primality

1,048,609 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1048609
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,048,609)
1 × 1048609
First multiples
1,048,609 · 2,097,218 (double) · 3,145,827 · 4,194,436 · 5,243,045 · 6,291,654 · 7,340,263 · 8,388,872 · 9,437,481 · 10,486,090

Sums & aliquot sequence

As a sum of two squares: 297² + 980²
As consecutive integers: 524,304 + 524,305

Continued fraction of √n

√1,048,609 = [1024; (62, 16, 2, 1, 2, 1, 1, 8, 1, 9, 3, 2, 2, 6, 2, 3, 1, 1, 5, 5, 1, 3, 9, 3, …)]

Representations

In words
one million forty-eight thousand six hundred nine
Ordinal
1048609th
Binary
100000000000000100001
Octal
4000041
Hexadecimal
0x100021
Base64
EAAh
One's complement
4,293,918,686 (32-bit)
Scientific notation
1.048609 × 10⁶
As a duration
1,048,609 s = 12 days, 3 hours, 16 minutes, 49 seconds
In other bases
ternary (3) 1222021102101
quaternary (4) 10000000201
quinary (5) 232023414
senary (6) 34250401
septenary (7) 11625112
nonary (9) 1867371
undecimal (11) 656921
duodecimal (12) 426a01
tridecimal (13) 2a93a3
tetradecimal (14) 1d4209
pentadecimal (15) 15aa74

As an angle

1,048,609° = 2,912 × 360° + 289°
289° ≈ 5.044 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零四萬八千六百零九
Chinese (financial)
壹佰零肆萬捌仟陸佰零玖
In other modern scripts
Eastern Arabic ١٠٤٨٦٠٩ Devanagari १०४८६०९ Bengali ১০৪৮৬০৯ Tamil ௧௦௪௮௬௦௯ Thai ๑๐๔๘๖๐๙ Tibetan ༡༠༤༨༦༠༩ Khmer ១០៤៨៦០៩ Lao ໑໐໔໘໖໐໙ Burmese ၁၀၄၈၆၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 1048613.

Hex color
#100021
RGB(16, 0, 33)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.0.33.

Address
0.16.0.33
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.0.33

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 4, 8609 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 8609-04-01 (DMMYYYY (Euro, single-digit day))
  • 8609-10-04 (MMDYYYY (US, single-digit day))
  • 8609-04-10 (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 1,048,609 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.