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1,022,821

1,022,821 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.).

1,022,821 (one million twenty-two 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, 0xF9B65.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
1,282,201
Square (n²)
1,046,162,798,041
Cube (n³)
1,070,037,279,255,093,661
Divisor count
2
σ(n) — sum of divisors
1,022,822
φ(n) — Euler's totient
1,022,820

Primality

1,022,821 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1022821
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,022,821)
1 × 1022821
First multiples
1,022,821 · 2,045,642 (double) · 3,068,463 · 4,091,284 · 5,114,105 · 6,136,926 · 7,159,747 · 8,182,568 · 9,205,389 · 10,228,210

Sums & aliquot sequence

As a sum of two squares: 225² + 986²
As consecutive integers: 511,410 + 511,411

Continued fraction of √n

√1,022,821 = [1011; (2, 1, 8, 69, 1, 1, 1, 2, 1, 1, 2, 14, 1, 1, 2, 7, 1, 6, 14, 3, 3, 3, 1, 2, …)]

Representations

In words
one million twenty-two thousand eight hundred twenty-one
Ordinal
1022821st
Binary
11111001101101100101
Octal
3715545
Hexadecimal
0xF9B65
Base64
D5tl
One's complement
4,293,944,474 (32-bit)
Scientific notation
1.022821 × 10⁶
As a duration
1,022,821 s = 11 days, 20 hours, 7 minutes, 1 second
In other bases
ternary (3) 1220222001021
quaternary (4) 3321231211
quinary (5) 230212241
senary (6) 33531141
septenary (7) 11456662
nonary (9) 1828037
undecimal (11) 639508
duodecimal (12) 413ab1
tridecimal (13) 29a727
tetradecimal (14) 1c8a69
pentadecimal (15) 1530d1

As an angle

1,022,821° = 2,841 × 360° + 61°
61° ≈ 1.065 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Chinese
一百零二萬二千八百二十一
Chinese (financial)
壹佰零貳萬貳仟捌佰貳拾壹
In other modern scripts
Eastern Arabic ١٠٢٢٨٢١ Devanagari १०२२८२१ Bengali ১০২২৮২১ Tamil ௧௦௨௨௮௨௧ Thai ๑๐๒๒๘๒๑ Tibetan ༡༠༢༢༨༢༡ Khmer ១០២២៨២១ Lao ໑໐໒໒໘໒໑ Burmese ၁၀၂၂၈၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0F9B65
RGB(15, 155, 101)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.155.101.

Address
0.15.155.101
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.155.101

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 2, 2821 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 2821-02-01 (DMMYYYY (Euro, single-digit day))
  • 2821-10-02 (MMDYYYY (US, single-digit day))
  • 2821-02-10 (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 1,022,821 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.