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1,053,821

1,053,821 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.).

1,053,821 (one million fifty-three thousand eight 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, 0x10147D.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
21 bits
Reversed
1,283,501
Square (n²)
1,110,538,700,041
Cube (n³)
1,170,309,003,415,906,661
Divisor count
2
σ(n) — sum of divisors
1,053,822
φ(n) — Euler's totient
1,053,820

Primality

1,053,821 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1053821
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,053,821)
1 × 1053821
First multiples
1,053,821 · 2,107,642 (double) · 3,161,463 · 4,215,284 · 5,269,105 · 6,322,926 · 7,376,747 · 8,430,568 · 9,484,389 · 10,538,210

Sums & aliquot sequence

As a sum of two squares: 389² + 950²
As consecutive integers: 526,910 + 526,911

Continued fraction of √n

√1,053,821 = [1026; (1, 1, 3, 1, 4, 1, 1, 1, 2, 102, 3, 1, 1, 2, 26, 1, 1, 1, 2, 20, 6, 2, 2, 1, …)]

Representations

In words
one million fifty-three thousand eight hundred twenty-one
Ordinal
1053821st
Binary
100000001010001111101
Octal
4012175
Hexadecimal
0x10147D
Base64
EBR9
One's complement
4,293,913,474 (32-bit)
Scientific notation
1.053821 × 10⁶
As a duration
1,053,821 s = 12 days, 4 hours, 43 minutes, 41 seconds
In other bases
ternary (3) 1222112120102
quaternary (4) 10001101331
quinary (5) 232210241
senary (6) 34330445
septenary (7) 11646236
nonary (9) 1875512
undecimal (11) 65a82a
duodecimal (12) 429a25
tridecimal (13) 2ab882
tetradecimal (14) 1d608d
pentadecimal (15) 15c39b

As an angle

1,053,821° = 2,927 × 360° + 101°
101° ≈ 1.763 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Chinese
一百零五萬三千八百二十一
Chinese (financial)
壹佰零伍萬參仟捌佰貳拾壹
In other modern scripts
Eastern Arabic ١٠٥٣٨٢١ Devanagari १०५३८२१ Bengali ১০৫৩৮২১ Tamil ௧௦௫௩௮௨௧ Thai ๑๐๕๓๘๒๑ Tibetan ༡༠༥༣༨༢༡ Khmer ១០៥៣៨២១ Lao ໑໐໕໓໘໒໑ Burmese ၁၀၅၃၈၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 1053817, sexy with 1053827.

Hex color
#10147D
RGB(16, 20, 125)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.20.125.

Address
0.16.20.125
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.20.125

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 5, 3821 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 3821-05-01 (DMMYYYY (Euro, single-digit day))
  • 3821-10-05 (MMDYYYY (US, single-digit day))
  • 3821-05-10 (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 1,053,821 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.