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1,058,221

1,058,221 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.).

1,058,221 (one million fifty-eight 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, 0x1025AD.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
21 bits
Reversed
1,228,501
Square (n²)
1,119,831,684,841
Cube (n³)
1,185,029,405,364,127,861
Divisor count
2
σ(n) — sum of divisors
1,058,222
φ(n) — Euler's totient
1,058,220

Primality

1,058,221 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1058221
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,058,221)
1 × 1058221
First multiples
1,058,221 · 2,116,442 (double) · 3,174,663 · 4,232,884 · 5,291,105 · 6,349,326 · 7,407,547 · 8,465,768 · 9,523,989 · 10,582,210

Sums & aliquot sequence

As a sum of two squares: 190² + 1,011²
As consecutive integers: 529,110 + 529,111

Continued fraction of √n

√1,058,221 = [1028; (1, 2, 3, 7, 2, 1, 6, 1, 2, 1, 15, 1, 2, 1, 1, 5, 1, 1, 1, 1, 6, 2, 2, 2, …)]

Representations

In words
one million fifty-eight thousand two hundred twenty-one
Ordinal
1058221st
Binary
100000010010110101101
Octal
4022655
Hexadecimal
0x1025AD
Base64
ECWt
One's complement
4,293,909,074 (32-bit)
Scientific notation
1.058221 × 10⁶
As a duration
1,058,221 s = 12 days, 5 hours, 57 minutes, 1 second
In other bases
ternary (3) 1222202121101
quaternary (4) 10002112231
quinary (5) 232330341
senary (6) 34403101
septenary (7) 11665123
nonary (9) 1882541
undecimal (11) 66306a
duodecimal (12) 430491
tridecimal (13) 2b0888
tetradecimal (14) 1d7913
pentadecimal (15) 15d831

As an angle

1,058,221° = 2,939 × 360° + 181°
181° ≈ 3.159 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺
Chinese
一百零五萬八千二百二十一
Chinese (financial)
壹佰零伍萬捌仟貳佰貳拾壹
In other modern scripts
Eastern Arabic ١٠٥٨٢٢١ Devanagari १०५८२२१ Bengali ১০৫৮২২১ Tamil ௧௦௫௮௨௨௧ Thai ๑๐๕๘๒๒๑ Tibetan ༡༠༥༨༢༢༡ Khmer ១០៥៨២២១ Lao ໑໐໕໘໒໒໑ Burmese ၁၀၅၈၂၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 1058227.

Hex color
#1025AD
RGB(16, 37, 173)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.37.173.

Address
0.16.37.173
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.37.173

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 5, 8221 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 8221-05-01 (DMMYYYY (Euro, single-digit day))
  • 8221-10-05 (MMDYYYY (US, single-digit day))
  • 8221-05-10 (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 1,058,221 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.