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1,064,801

1,064,801 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.).

1,064,801 (one million sixty-four thousand eight hundred one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x103F61.

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
1,084,601
Square (n²)
1,133,801,169,601
Cube (n³)
1,207,272,619,192,314,401
Divisor count
2
σ(n) — sum of divisors
1,064,802
φ(n) — Euler's totient
1,064,800

Primality

1,064,801 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1064801
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,064,801)
1 × 1064801
First multiples
1,064,801 · 2,129,602 (double) · 3,194,403 · 4,259,204 · 5,324,005 · 6,388,806 · 7,453,607 · 8,518,408 · 9,583,209 · 10,648,010

Sums & aliquot sequence

As a sum of two squares: 335² + 976²
As consecutive integers: 532,400 + 532,401

Continued fraction of √n

√1,064,801 = [1031; (1, 8, 3, 1, 11, 2, 5, 18, 1, 3, 47, 1, 2, 1, 6, 1, 3, 10, 4, 1, 1, 2, 5, 3, …)]

Representations

In words
one million sixty-four thousand eight hundred one
Ordinal
1064801st
Binary
100000011111101100001
Octal
4037541
Hexadecimal
0x103F61
Base64
ED9h
One's complement
4,293,902,494 (32-bit)
Scientific notation
1.064801 × 10⁶
As a duration
1,064,801 s = 12 days, 7 hours, 46 minutes, 41 seconds
In other bases
ternary (3) 2000002122002
quaternary (4) 10003331201
quinary (5) 233033201
senary (6) 34453345
septenary (7) 12023243
nonary (9) 2002562
undecimal (11) 668001
duodecimal (12) 434255
tridecimal (13) 2b387a
tetradecimal (14) 1da093
pentadecimal (15) 16076b

As an angle

1,064,801° = 2,957 × 360° + 281°
281° ≈ 4.904 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Chinese
一百零六萬四千八百零一
Chinese (financial)
壹佰零陸萬肆仟捌佰零壹
In other modern scripts
Eastern Arabic ١٠٦٤٨٠١ Devanagari १०६४८०१ Bengali ১০৬৪৮০১ Tamil ௧௦௬௪௮௦௧ Thai ๑๐๖๔๘๐๑ Tibetan ༡༠༦༤༨༠༡ Khmer ១០៦៤៨០១ Lao ໑໐໖໔໘໐໑ Burmese ၁၀၆၄၈၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#103F61
RGB(16, 63, 97)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.63.97.

Address
0.16.63.97
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.63.97

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 6, 4801 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 4801-06-01 (DMMYYYY (Euro, single-digit day))
  • 4801-10-06 (MMDYYYY (US, single-digit day))
  • 4801-06-10 (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 1,064,801 and was likely granted around 1913.

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.