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1,054,049

1,054,049 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.).

1,054,049 (one million fifty-four thousand forty-nine) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x101561.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
21 bits
Reversed
9,404,501
Square (n²)
1,111,019,294,401
Cube (n³)
1,171,068,776,244,079,649
Divisor count
2
σ(n) — sum of divisors
1,054,050
φ(n) — Euler's totient
1,054,048

Primality

1,054,049 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1054049
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,054,049)
1 × 1054049
First multiples
1,054,049 · 2,108,098 (double) · 3,162,147 · 4,216,196 · 5,270,245 · 6,324,294 · 7,378,343 · 8,432,392 · 9,486,441 · 10,540,490

Sums & aliquot sequence

As a sum of two squares: 200² + 1,007²
As consecutive integers: 527,024 + 527,025

Continued fraction of √n

√1,054,049 = [1026; (1, 2, 49, 1, 2, 1, 30, 1, 5, 3, 2, 2, 1, 255, 1, 23, 6, 4, 1, 1, 2, 1, 3, 4, …)]

Representations

In words
one million fifty-four thousand forty-nine
Ordinal
1054049th
Binary
100000001010101100001
Octal
4012541
Hexadecimal
0x101561
Base64
EBVh
One's complement
4,293,913,246 (32-bit)
Scientific notation
1.054049 × 10⁶
As a duration
1,054,049 s = 12 days, 4 hours, 47 minutes, 29 seconds
In other bases
ternary (3) 1222112212212
quaternary (4) 10001111201
quinary (5) 232212144
senary (6) 34331505
septenary (7) 11650013
nonary (9) 1875785
undecimal (11) 65aa17
duodecimal (12) 429b95
tridecimal (13) 2ab9c9
tetradecimal (14) 1d61b3
pentadecimal (15) 15c49e

As an angle

1,054,049° = 2,927 × 360° + 329°
329° ≈ 5.742 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零五萬四千零四十九
Chinese (financial)
壹佰零伍萬肆仟零肆拾玖
In other modern scripts
Eastern Arabic ١٠٥٤٠٤٩ Devanagari १०५४०४९ Bengali ১০৫৪০৪৯ Tamil ௧௦௫௪௦௪௯ Thai ๑๐๕๔๐๔๙ Tibetan ༡༠༥༤༠༤༩ Khmer ១០៥៤០៤៩ Lao ໑໐໕໔໐໔໙ Burmese ၁၀၅၄၀၄၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 1054043.

Hex color
#101561
RGB(16, 21, 97)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.21.97.

Address
0.16.21.97
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.21.97

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 5, 4049 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 4049-05-01 (DMMYYYY (Euro, single-digit day))
  • 4049-10-05 (MMDYYYY (US, single-digit day))
  • 4049-05-10 (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 1,054,049 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 1054049 first appears in π at position 313,302 of the decimal expansion (the 313,302ordinal-suffix:nd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

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.