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1,033,801

1,033,801 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.).

1,033,801 (one million thirty-three 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, 0xFC649.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
1,083,301
Square (n²)
1,068,744,507,601
Cube (n³)
1,104,869,140,702,421,401
Divisor count
2
σ(n) — sum of divisors
1,033,802
φ(n) — Euler's totient
1,033,800

Primality

1,033,801 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1033801
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,033,801)
1 × 1033801
First multiples
1,033,801 · 2,067,602 (double) · 3,101,403 · 4,135,204 · 5,169,005 · 6,202,806 · 7,236,607 · 8,270,408 · 9,304,209 · 10,338,010

Sums & aliquot sequence

As a sum of two squares: 285² + 976²
As consecutive integers: 516,900 + 516,901

Continued fraction of √n

√1,033,801 = [1016; (1, 3, 5, 1, 30, 1, 14, 10, 1, 1, 2, 1, 1, 1, 2, 3, 2, 4, 2, 6, 1, 1, 5, 1, …)]

Representations

In words
one million thirty-three thousand eight hundred one
Ordinal
1033801st
Binary
11111100011001001001
Octal
3743111
Hexadecimal
0xFC649
Base64
D8ZJ
One's complement
4,293,933,494 (32-bit)
Scientific notation
1.033801 × 10⁶
As a duration
1,033,801 s = 11 days, 23 hours, 10 minutes, 1 second
In other bases
ternary (3) 1221112002221
quaternary (4) 3330121021
quinary (5) 231040201
senary (6) 34054041
septenary (7) 11533666
nonary (9) 1845087
undecimal (11) 64678a
duodecimal (12) 41a321
tridecimal (13) 2a2722
tetradecimal (14) 1cca6d
pentadecimal (15) 1564a1

As an angle

1,033,801° = 2,871 × 360° + 241°
241° ≈ 4.206 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Chinese
一百零三萬三千八百零一
Chinese (financial)
壹佰零參萬參仟捌佰零壹
In other modern scripts
Eastern Arabic ١٠٣٣٨٠١ Devanagari १०३३८०१ Bengali ১০৩৩৮০১ Tamil ௧௦௩௩௮௦௧ Thai ๑๐๓๓๘๐๑ Tibetan ༡༠༣༣༨༠༡ Khmer ១០៣៣៨០១ Lao ໑໐໓໓໘໐໑ Burmese ၁၀၃၃၈၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 1033807.

Hex color
#0FC649
RGB(15, 198, 73)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.198.73.

Address
0.15.198.73
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.198.73

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 3, 3801 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 3801-03-01 (DMMYYYY (Euro, single-digit day))
  • 3801-10-03 (MMDYYYY (US, single-digit day))
  • 3801-03-10 (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 1,033,801 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.