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1,057,033

1,057,033 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.).

1,057,033 (one million fifty-seven thousand thirty-three) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x102109.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Self Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
21 bits
Reversed
3,307,501
Square (n²)
1,117,318,763,089
Cube (n³)
1,181,042,804,104,254,937
Divisor count
2
σ(n) — sum of divisors
1,057,034
φ(n) — Euler's totient
1,057,032

Primality

1,057,033 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1057033
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,057,033)
1 × 1057033
First multiples
1,057,033 · 2,114,066 (double) · 3,171,099 · 4,228,132 · 5,285,165 · 6,342,198 · 7,399,231 · 8,456,264 · 9,513,297 · 10,570,330

Sums & aliquot sequence

As a sum of two squares: 48² + 1,027²
As consecutive integers: 528,516 + 528,517

Continued fraction of √n

√1,057,033 = [1028; (8, 3, 1, 7, 1, 1, 3, 4, 1, 1, 1, 5, 4, 1, 2, 18, 1, 6, 5, 4, 2, 4, 4, 4, …)]

Representations

In words
one million fifty-seven thousand thirty-three
Ordinal
1057033rd
Binary
100000010000100001001
Octal
4020411
Hexadecimal
0x102109
Base64
ECEJ
One's complement
4,293,910,262 (32-bit)
Scientific notation
1.057033 × 10⁶
As a duration
1,057,033 s = 12 days, 5 hours, 37 minutes, 13 seconds
In other bases
ternary (3) 1222200222101
quaternary (4) 10002010021
quinary (5) 232311113
senary (6) 34353401
septenary (7) 11661505
nonary (9) 1880871
undecimal (11) 66218a
duodecimal (12) 42b861
tridecimal (13) 2b0183
tetradecimal (14) 1d7305
pentadecimal (15) 15d2dd

As an angle

1,057,033° = 2,936 × 360° + 73°
73° ≈ 1.274 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓏺𓏺𓏺
Chinese
一百零五萬七千零三十三
Chinese (financial)
壹佰零伍萬柒仟零參拾參
In other modern scripts
Eastern Arabic ١٠٥٧٠٣٣ Devanagari १०५७०३३ Bengali ১০৫৭০৩৩ Tamil ௧௦௫௭௦௩௩ Thai ๑๐๕๗๐๓๓ Tibetan ༡༠༥༧༠༣༣ Khmer ១០៥៧០៣៣ Lao ໑໐໕໗໐໓໓ Burmese ၁၀၅၇၀၃၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 1057037.

Hex color
#102109
RGB(16, 33, 9)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.33.9.

Address
0.16.33.9
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.33.9

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 5, 7033 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 7033-05-01 (DMMYYYY (Euro, single-digit day))
  • 7033-10-05 (MMDYYYY (US, single-digit day))
  • 7033-05-10 (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 1,057,033 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.