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1,043,221

1,043,221 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.).

1,043,221 (one million forty-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, 0xFEB15.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
1,223,401
Square (n²)
1,088,310,054,841
Cube (n³)
1,135,347,903,721,282,861
Divisor count
2
σ(n) — sum of divisors
1,043,222
φ(n) — Euler's totient
1,043,220

Primality

1,043,221 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1043221
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,043,221)
1 × 1043221
First multiples
1,043,221 · 2,086,442 (double) · 3,129,663 · 4,172,884 · 5,216,105 · 6,259,326 · 7,302,547 · 8,345,768 · 9,388,989 · 10,432,210

Sums & aliquot sequence

As a sum of two squares: 114² + 1,015²
As consecutive integers: 521,610 + 521,611

Continued fraction of √n

√1,043,221 = [1021; (2, 1, 1, 1, 1, 1, 1, 1, 3, 9, 1, 2, 1, 4, 8, 2, 1, 36, 2, 5, 1, 119, 3, 6, …)]

Representations

In words
one million forty-three thousand two hundred twenty-one
Ordinal
1043221st
Binary
11111110101100010101
Octal
3765425
Hexadecimal
0xFEB15
Base64
D+sV
One's complement
4,293,924,074 (32-bit)
Scientific notation
1.043221 × 10⁶
As a duration
1,043,221 s = 12 days, 1 hour, 47 minutes, 1 second
In other bases
ternary (3) 1222000000211
quaternary (4) 3332230111
quinary (5) 231340341
senary (6) 34205421
septenary (7) 11603314
nonary (9) 1860024
undecimal (11) 652873
duodecimal (12) 423871
tridecimal (13) 2a6aba
tetradecimal (14) 1d227b
pentadecimal (15) 159181

As an angle

1,043,221° = 2,897 × 360° + 301°
301° ≈ 5.253 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺
Chinese
一百零四萬三千二百二十一
Chinese (financial)
壹佰零肆萬參仟貳佰貳拾壹
In other modern scripts
Eastern Arabic ١٠٤٣٢٢١ Devanagari १०४३२२१ Bengali ১০৪৩২২১ Tamil ௧௦௪௩௨௨௧ Thai ๑๐๔๓๒๒๑ Tibetan ༡༠༤༣༢༢༡ Khmer ១០៤៣២២១ Lao ໑໐໔໓໒໒໑ Burmese ၁၀၄၃၂၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0FEB15
RGB(15, 235, 21)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.235.21.

Address
0.15.235.21
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.235.21

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 4, 3221 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 3221-04-01 (DMMYYYY (Euro, single-digit day))
  • 3221-10-04 (MMDYYYY (US, single-digit day))
  • 3221-04-10 (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 1,043,221 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.