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1,022,053

1,022,053 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.).

1,022,053 (one million twenty-two thousand fifty-three) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF9865.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy 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
3,502,201
Recamán's sequence
a(372,221) = 1,022,053
Square (n²)
1,044,592,334,809
Cube (n³)
1,067,628,729,568,542,877
Divisor count
2
σ(n) — sum of divisors
1,022,054
φ(n) — Euler's totient
1,022,052

Primality

1,022,053 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1022053
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,022,053)
1 × 1022053
First multiples
1,022,053 · 2,044,106 (double) · 3,066,159 · 4,088,212 · 5,110,265 · 6,132,318 · 7,154,371 · 8,176,424 · 9,198,477 · 10,220,530

Sums & aliquot sequence

As a sum of two squares: 367² + 942²
As consecutive integers: 511,026 + 511,027

Continued fraction of √n

√1,022,053 = [1010; (1, 28, 1, 2, 1, 3, 2, 1, 3, 4, 24, 1, 2, 1, 2, 11, 3, 10, 1, 34, 1, 1, 3, 1, …)]

Representations

In words
one million twenty-two thousand fifty-three
Ordinal
1022053rd
Binary
11111001100001100101
Octal
3714145
Hexadecimal
0xF9865
Base64
D5hl
One's complement
4,293,945,242 (32-bit)
Scientific notation
1.022053 × 10⁶
As a duration
1,022,053 s = 11 days, 19 hours, 54 minutes, 13 seconds
In other bases
ternary (3) 1220220222211
quaternary (4) 3321201211
quinary (5) 230201203
senary (6) 33523421
septenary (7) 11454514
nonary (9) 1826884
undecimal (11) 63897a
duodecimal (12) 413571
tridecimal (13) 29a286
tetradecimal (14) 1c867b
pentadecimal (15) 152c6d

As an angle

1,022,053° = 2,839 × 360° + 13°
13° ≈ 0.227 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Chinese
一百零二萬二千零五十三
Chinese (financial)
壹佰零貳萬貳仟零伍拾參
In other modern scripts
Eastern Arabic ١٠٢٢٠٥٣ Devanagari १०२२०५३ Bengali ১০২২০৫৩ Tamil ௧௦௨௨௦௫௩ Thai ๑๐๒๒๐๕๓ Tibetan ༡༠༢༢༠༥༣ Khmer ១០២២០៥៣ Lao ໑໐໒໒໐໕໓ Burmese ၁၀၂၂၀၅၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 1022059.

Hex color
#0F9865
RGB(15, 152, 101)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.152.101.

Address
0.15.152.101
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.152.101

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 2, 2053 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 2053-02-01 (DMMYYYY (Euro, single-digit day))
  • 2053-10-02 (MMDYYYY (US, single-digit day))
  • 2053-02-10 (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 1,022,053 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.