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1,054,301

1,054,301 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.).

1,054,301 (one million fifty-four thousand three hundred one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x10165D.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
21 bits
Reversed
1,034,501
Square (n²)
1,111,550,598,601
Cube (n³)
1,171,908,907,655,632,901
Divisor count
2
σ(n) — sum of divisors
1,054,302
φ(n) — Euler's totient
1,054,300

Primality

1,054,301 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1054301
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,054,301)
1 × 1054301
First multiples
1,054,301 · 2,108,602 (double) · 3,162,903 · 4,217,204 · 5,271,505 · 6,325,806 · 7,380,107 · 8,434,408 · 9,488,709 · 10,543,010

Sums & aliquot sequence

As a sum of two squares: 325² + 974²
As consecutive integers: 527,150 + 527,151

Continued fraction of √n

√1,054,301 = [1026; (1, 3, 1, 3, 1, 27, 2, 1, 17, 30, 1, 1, 2, 6, 6, 6, 6, 2, 1, 1, 30, 17, 1, 2, …)]

Period length 31 — the block in parentheses repeats forever.

Representations

In words
one million fifty-four thousand three hundred one
Ordinal
1054301st
Binary
100000001011001011101
Octal
4013135
Hexadecimal
0x10165D
Base64
EBZd
One's complement
4,293,912,994 (32-bit)
Scientific notation
1.054301 × 10⁶
As a duration
1,054,301 s = 12 days, 4 hours, 51 minutes, 41 seconds
In other bases
ternary (3) 1222120020012
quaternary (4) 10001121131
quinary (5) 232214201
senary (6) 34333005
septenary (7) 11650523
nonary (9) 1876205
undecimal (11) 660126
duodecimal (12) 42a165
tridecimal (13) 2abb61
tetradecimal (14) 1d6313
pentadecimal (15) 15c5bb

As an angle

1,054,301° = 2,928 × 360° + 221°
221° ≈ 3.857 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓏺
Chinese
一百零五萬四千三百零一
Chinese (financial)
壹佰零伍萬肆仟參佰零壹
In other modern scripts
Eastern Arabic ١٠٥٤٣٠١ Devanagari १०५४३०१ Bengali ১০৫৪৩০১ Tamil ௧௦௫௪௩௦௧ Thai ๑๐๕๔๓๐๑ Tibetan ༡༠༥༤༣༠༡ Khmer ១០៥៤៣០១ Lao ໑໐໕໔໓໐໑ Burmese ၁၀၅၄၃၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 1054303.

Hex color
#10165D
RGB(16, 22, 93)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.22.93.

Address
0.16.22.93
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.22.93

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 5, 4301 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 4301-05-01 (DMMYYYY (Euro, single-digit day))
  • 4301-10-05 (MMDYYYY (US, single-digit day))
  • 4301-05-10 (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 1,054,301 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.