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1,021,093

1,021,093 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.).

1,021,093 (one million twenty-one thousand ninety-three) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF94A5.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
3,901,201
Square (n²)
1,042,630,914,649
Cube (n³)
1,064,623,128,531,691,357
Divisor count
2
σ(n) — sum of divisors
1,021,094
φ(n) — Euler's totient
1,021,092

Primality

1,021,093 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1021093
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,021,093)
1 × 1021093
First multiples
1,021,093 · 2,042,186 (double) · 3,063,279 · 4,084,372 · 5,105,465 · 6,126,558 · 7,147,651 · 8,168,744 · 9,189,837 · 10,210,930

Sums & aliquot sequence

As a sum of two squares: 258² + 977²
As consecutive integers: 510,546 + 510,547

Continued fraction of √n

√1,021,093 = [1010; (2, 28, 1, 3, 1, 3, 10, 2, 18, 4, 4, 4, 2, 4, 1, 7, 1, 2, 2, 5, 1, 1, 1, 19, …)]

Representations

In words
one million twenty-one thousand ninety-three
Ordinal
1021093rd
Binary
11111001010010100101
Octal
3712245
Hexadecimal
0xF94A5
Base64
D5Sl
One's complement
4,293,946,202 (32-bit)
Scientific notation
1.021093 × 10⁶
As a duration
1,021,093 s = 11 days, 19 hours, 38 minutes, 13 seconds
In other bases
ternary (3) 1220212200021
quaternary (4) 3321102211
quinary (5) 230133333
senary (6) 33515141
septenary (7) 11451643
nonary (9) 1825607
undecimal (11) 638187
duodecimal (12) 412ab1
tridecimal (13) 2999c8
tetradecimal (14) 1c8193
pentadecimal (15) 15282d

As an angle

1,021,093° = 2,836 × 360° + 133°
133° ≈ 2.321 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Chinese
一百零二萬一千零九十三
Chinese (financial)
壹佰零貳萬壹仟零玖拾參
In other modern scripts
Eastern Arabic ١٠٢١٠٩٣ Devanagari १०२१०९३ Bengali ১০২১০৯৩ Tamil ௧௦௨௧௦௯௩ Thai ๑๐๒๑๐๙๓ Tibetan ༡༠༢༡༠༩༣ Khmer ១០២១០៩៣ Lao ໑໐໒໑໐໙໓ Burmese ၁၀၂၁၀၉၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 1021091.

Hex color
#0F94A5
RGB(15, 148, 165)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.148.165.

Address
0.15.148.165
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.148.165

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 2, 1093 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1093-02-01 (DMMYYYY (Euro, single-digit day))
  • 1093-10-02 (MMDYYYY (US, single-digit day))
  • 1093-02-10 (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 1,021,093 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 1021093 first appears in π at position 292,260 of the decimal expansion (the 292,260ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

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.