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1,052,221

1,052,221 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.).

1,052,221 (one million fifty-two 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, 0x100E3D.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious 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
21 bits
Reversed
1,222,501
Square (n²)
1,107,169,032,841
Cube (n³)
1,164,986,506,904,989,861
Divisor count
2
σ(n) — sum of divisors
1,052,222
φ(n) — Euler's totient
1,052,220

Primality

1,052,221 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1052221
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,052,221)
1 × 1052221
First multiples
1,052,221 · 2,104,442 (double) · 3,156,663 · 4,208,884 · 5,261,105 · 6,313,326 · 7,365,547 · 8,417,768 · 9,469,989 · 10,522,210

Sums & aliquot sequence

As a sum of two squares: 155² + 1,014²
As consecutive integers: 526,110 + 526,111

Continued fraction of √n

√1,052,221 = [1025; (1, 3, 1, 1, 26, 11, 2, 1, 3, 1, 1, 12, 1, 2, 11, 1, 1, 2, 2, 2, 3, 1, 2, 1, …)]

Representations

In words
one million fifty-two thousand two hundred twenty-one
Ordinal
1052221st
Binary
100000000111000111101
Octal
4007075
Hexadecimal
0x100E3D
Base64
EA49
One's complement
4,293,915,074 (32-bit)
Scientific notation
1.052221 × 10⁶
As a duration
1,052,221 s = 12 days, 4 hours, 17 minutes, 1 second
In other bases
ternary (3) 1222110101011
quaternary (4) 10000320331
quinary (5) 232132341
senary (6) 34315221
septenary (7) 11641462
nonary (9) 1873334
undecimal (11) 659605
duodecimal (12) 428b11
tridecimal (13) 2aac21
tetradecimal (14) 1d5669
pentadecimal (15) 15bb81

As an angle

1,052,221° = 2,922 × 360° + 301°
301° ≈ 5.253 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓏺
Chinese
一百零五萬二千二百二十一
Chinese (financial)
壹佰零伍萬貳仟貳佰貳拾壹
In other modern scripts
Eastern Arabic ١٠٥٢٢٢١ Devanagari १०५२२२१ Bengali ১০৫২২২১ Tamil ௧௦௫௨௨௨௧ Thai ๑๐๕๒๒๒๑ Tibetan ༡༠༥༢༢༢༡ Khmer ១០៥២២២១ Lao ໑໐໕໒໒໒໑ Burmese ၁၀၅၂၂၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#100E3D
RGB(16, 14, 61)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.14.61.

Address
0.16.14.61
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.14.61

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 5, 2221 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 2221-05-01 (DMMYYYY (Euro, single-digit day))
  • 2221-10-05 (MMDYYYY (US, single-digit day))
  • 2221-05-10 (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 1,052,221 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.