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1,023,221

1,023,221 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.).

1,023,221 (one million twenty-three thousand two hundred twenty-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF9CF5.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
1,223,201
Square (n²)
1,046,981,214,841
Cube (n³)
1,071,293,165,630,822,861
Divisor count
2
σ(n) — sum of divisors
1,023,222
φ(n) — Euler's totient
1,023,220

Primality

1,023,221 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1023221
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,023,221)
1 × 1023221
First multiples
1,023,221 · 2,046,442 (double) · 3,069,663 · 4,092,884 · 5,116,105 · 6,139,326 · 7,162,547 · 8,185,768 · 9,208,989 · 10,232,210

Sums & aliquot sequence

As a sum of two squares: 386² + 935²
As consecutive integers: 511,610 + 511,611

Continued fraction of √n

√1,023,221 = [1011; (1, 1, 5, 5, 30, 1, 13, 1, 1, 2, 2, 1, 1, 2, 8, 2, 4, 3, 2, 7, 2, 1, 6, 1, …)]

Representations

In words
one million twenty-three thousand two hundred twenty-one
Ordinal
1023221st
Binary
11111001110011110101
Octal
3716365
Hexadecimal
0xF9CF5
Base64
D5z1
One's complement
4,293,944,074 (32-bit)
Scientific notation
1.023221 × 10⁶
As a duration
1,023,221 s = 11 days, 20 hours, 13 minutes, 41 seconds
In other bases
ternary (3) 1220222121002
quaternary (4) 3321303311
quinary (5) 230220341
senary (6) 33533045
septenary (7) 11461103
nonary (9) 1828532
undecimal (11) 639841
duodecimal (12) 414185
tridecimal (13) 29a974
tetradecimal (14) 1c8c73
pentadecimal (15) 15329b

As an angle

1,023,221° = 2,842 × 360° + 101°
101° ≈ 1.763 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺
Chinese
一百零二萬三千二百二十一
Chinese (financial)
壹佰零貳萬參仟貳佰貳拾壹
In other modern scripts
Eastern Arabic ١٠٢٣٢٢١ Devanagari १०२३२२१ Bengali ১০২৩২২১ Tamil ௧௦௨௩௨௨௧ Thai ๑๐๒๓๒๒๑ Tibetan ༡༠༢༣༢༢༡ Khmer ១០២៣២២១ Lao ໑໐໒໓໒໒໑ Burmese ၁၀၂၃၂၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 1023227.

Hex color
#0F9CF5
RGB(15, 156, 245)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.156.245.

Address
0.15.156.245
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.156.245

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 2, 3221 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 3221-02-01 (DMMYYYY (Euro, single-digit day))
  • 3221-10-02 (MMDYYYY (US, single-digit day))
  • 3221-02-10 (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 1,023,221 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.