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1,013,933

1,013,933 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.).

1,013,933 (one million thirteen thousand nine hundred thirty-three) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF78AD.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious 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
20 bits
Reversed
3,393,101
Square (n²)
1,028,060,128,489
Cube (n³)
1,042,384,090,259,237,237
Divisor count
2
σ(n) — sum of divisors
1,013,934
φ(n) — Euler's totient
1,013,932

Primality

1,013,933 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1013933
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,013,933)
1 × 1013933
First multiples
1,013,933 · 2,027,866 (double) · 3,041,799 · 4,055,732 · 5,069,665 · 6,083,598 · 7,097,531 · 8,111,464 · 9,125,397 · 10,139,330

Sums & aliquot sequence

As a sum of two squares: 493² + 878²
As consecutive integers: 506,966 + 506,967

Continued fraction of √n

√1,013,933 = [1006; (1, 16, 2, 1, 3, 3, 1, 2, 1, 2, 1, 1, 1, 2, 5, 1, 1, 2, 10, 3, 7, 2, 1, 105, …)]

Representations

In words
one million thirteen thousand nine hundred thirty-three
Ordinal
1013933rd
Binary
11110111100010101101
Octal
3674255
Hexadecimal
0xF78AD
Base64
D3it
One's complement
4,293,953,362 (32-bit)
Scientific notation
1.013933 × 10⁶
As a duration
1,013,933 s = 11 days, 17 hours, 38 minutes, 53 seconds
In other bases
ternary (3) 1220111212002
quaternary (4) 3313202231
quinary (5) 224421213
senary (6) 33422045
septenary (7) 11422034
nonary (9) 1814762
undecimal (11) 632868
duodecimal (12) 40a925
tridecimal (13) 29667b
tetradecimal (14) 1c571b
pentadecimal (15) 150658

As an angle

1,013,933° = 2,816 × 360° + 173°
173° ≈ 3.019 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺
Chinese
一百零一萬三千九百三十三
Chinese (financial)
壹佰零壹萬參仟玖佰參拾參
In other modern scripts
Eastern Arabic ١٠١٣٩٣٣ Devanagari १०१३९३३ Bengali ১০১৩৯৩৩ Tamil ௧௦௧௩௯௩௩ Thai ๑๐๑๓๙๓๓ Tibetan ༡༠༡༣༩༣༣ Khmer ១០១៣៩៣៣ Lao ໑໐໑໓໙໓໓ Burmese ၁၀၁၃၉၃၃

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0F78AD
RGB(15, 120, 173)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.120.173.

Address
0.15.120.173
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.120.173

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 1, 3933 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 3933-10-01 (MMDYYYY (US, single-digit day))
  • 3933-01-10 (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 1,013,933 and was likely granted around 1911.

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.