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1,048,601

1,048,601 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.).

1,048,601 (one million forty-eight thousand six hundred one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x100019.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
21 bits
Reversed
1,068,401
Square (n²)
1,099,564,057,201
Cube (n³)
1,153,003,969,945,025,801
Divisor count
2
σ(n) — sum of divisors
1,048,602
φ(n) — Euler's totient
1,048,600

Primality

1,048,601 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1048601
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,048,601)
1 × 1048601
First multiples
1,048,601 · 2,097,202 (double) · 3,145,803 · 4,194,404 · 5,243,005 · 6,291,606 · 7,340,207 · 8,388,808 · 9,437,409 · 10,486,010

Sums & aliquot sequence

As a sum of two squares: 5² + 1,024²
As consecutive integers: 524,300 + 524,301

Continued fraction of √n

√1,048,601 = [1024; (81, 1, 11, 1, 1, 2, 1, 3, 8, 1, 10, 1, 2, 1, 10, 2, 1, 1, 2, 4, 10, 2, 1, 1, …)]

Representations

In words
one million forty-eight thousand six hundred one
Ordinal
1048601st
Binary
100000000000000011001
Octal
4000031
Hexadecimal
0x100019
Base64
EAAZ
One's complement
4,293,918,694 (32-bit)
Scientific notation
1.048601 × 10⁶
As a duration
1,048,601 s = 12 days, 3 hours, 16 minutes, 41 seconds
In other bases
ternary (3) 1222021102002
quaternary (4) 10000000121
quinary (5) 232023401
senary (6) 34250345
septenary (7) 11625101
nonary (9) 1867362
undecimal (11) 656914
duodecimal (12) 4269b5
tridecimal (13) 2a9398
tetradecimal (14) 1d4201
pentadecimal (15) 15aa6b

As an angle

1,048,601° = 2,912 × 360° + 281°
281° ≈ 4.904 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Chinese
一百零四萬八千六百零一
Chinese (financial)
壹佰零肆萬捌仟陸佰零壹
In other modern scripts
Eastern Arabic ١٠٤٨٦٠١ Devanagari १०४८६०१ Bengali ১০৪৮৬০১ Tamil ௧௦௪௮௬௦௧ Thai ๑๐๔๘๖๐๑ Tibetan ༡༠༤༨༦༠༡ Khmer ១០៤៨៦០១ Lao ໑໐໔໘໖໐໑ Burmese ၁၀၄၈၆၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#100019
RGB(16, 0, 25)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.0.25.

Address
0.16.0.25
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.0.25

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 4, 8601 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 8601-04-01 (DMMYYYY (Euro, single-digit day))
  • 8601-10-04 (MMDYYYY (US, single-digit day))
  • 8601-04-10 (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 1,048,601 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.