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1,054,033

1,054,033 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.).

1,054,033 (one million fifty-four 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, 0x101551.

Arithmetic Number Cube-Free Deficient Number 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
21 bits
Reversed
3,304,501
Square (n²)
1,110,985,565,089
Cube (n³)
1,171,015,448,127,453,937
Divisor count
2
σ(n) — sum of divisors
1,054,034
φ(n) — Euler's totient
1,054,032

Primality

1,054,033 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1054033
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,054,033)
1 × 1054033
First multiples
1,054,033 · 2,108,066 (double) · 3,162,099 · 4,216,132 · 5,270,165 · 6,324,198 · 7,378,231 · 8,432,264 · 9,486,297 · 10,540,330

Sums & aliquot sequence

As a sum of two squares: 607² + 828²
As consecutive integers: 527,016 + 527,017

Continued fraction of √n

√1,054,033 = [1026; (1, 1, 1, 19, 3, 1, 2, 1, 1, 1, 1, 1, 1, 1, 3, 2, 5, 7, 8, 9, 2, 1, 17, 2, …)]

Representations

In words
one million fifty-four thousand thirty-three
Ordinal
1054033rd
Binary
100000001010101010001
Octal
4012521
Hexadecimal
0x101551
Base64
EBVR
One's complement
4,293,913,262 (32-bit)
Scientific notation
1.054033 × 10⁶
As a duration
1,054,033 s = 12 days, 4 hours, 47 minutes, 13 seconds
In other bases
ternary (3) 1222112212021
quaternary (4) 10001111101
quinary (5) 232212113
senary (6) 34331441
septenary (7) 11646661
nonary (9) 1875767
undecimal (11) 65aa02
duodecimal (12) 429b81
tridecimal (13) 2ab9b6
tetradecimal (14) 1d61a1
pentadecimal (15) 15c48d

As an angle

1,054,033° = 2,927 × 360° + 313°
313° ≈ 5.463 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓏺𓏺𓏺
Chinese
一百零五萬四千零三十三
Chinese (financial)
壹佰零伍萬肆仟零參拾參
In other modern scripts
Eastern Arabic ١٠٥٤٠٣٣ Devanagari १०५४०३३ Bengali ১০৫৪০৩৩ Tamil ௧௦௫௪௦௩௩ Thai ๑๐๕๔๐๓๓ Tibetan ༡༠༥༤༠༣༣ Khmer ១០៥៤០៣៣ Lao ໑໐໕໔໐໓໓ Burmese ၁၀၅၄၀၃၃

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#101551
RGB(16, 21, 81)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.21.81.

Address
0.16.21.81
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.21.81

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 5, 4033 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 4033-05-01 (DMMYYYY (Euro, single-digit day))
  • 4033-10-05 (MMDYYYY (US, single-digit day))
  • 4033-05-10 (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 1,054,033 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.