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1,051,301

1,051,301 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.).

1,051,301 (one million fifty-one 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, 0x100AA5.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
21 bits
Reversed
1,031,501
Square (n²)
1,105,233,792,601
Cube (n³)
1,161,933,391,395,223,901
Divisor count
2
σ(n) — sum of divisors
1,051,302
φ(n) — Euler's totient
1,051,300

Primality

1,051,301 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1051301
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,051,301)
1 × 1051301
First multiples
1,051,301 · 2,102,602 (double) · 3,153,903 · 4,205,204 · 5,256,505 · 6,307,806 · 7,359,107 · 8,410,408 · 9,461,709 · 10,513,010

Sums & aliquot sequence

As a sum of two squares: 26² + 1,025²
As consecutive integers: 525,650 + 525,651

Continued fraction of √n

√1,051,301 = [1025; (3, 30, 3, 1, 1, 1, 9, 12, 5, 1, 2, 3, 1, 2, 1, 45, 1, 6, 1, 3, 6, 5, 1, 6, …)]

Representations

In words
one million fifty-one thousand three hundred one
Ordinal
1051301st
Binary
100000000101010100101
Octal
4005245
Hexadecimal
0x100AA5
Base64
EAql
One's complement
4,293,915,994 (32-bit)
Scientific notation
1.051301 × 10⁶
As a duration
1,051,301 s = 12 days, 4 hours, 1 minute, 41 seconds
In other bases
ternary (3) 1222102010002
quaternary (4) 10000222211
quinary (5) 232120201
senary (6) 34311045
septenary (7) 11636006
nonary (9) 1872102
undecimal (11) 658949
duodecimal (12) 428485
tridecimal (13) 2aa694
tetradecimal (14) 1d51ad
pentadecimal (15) 15b76b

As an angle

1,051,301° = 2,920 × 360° + 101°
101° ≈ 1.763 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓏺
Chinese
一百零五萬一千三百零一
Chinese (financial)
壹佰零伍萬壹仟參佰零壹
In other modern scripts
Eastern Arabic ١٠٥١٣٠١ Devanagari १०५१३०१ Bengali ১০৫১৩০১ Tamil ௧௦௫௧௩௦௧ Thai ๑๐๕๑๓๐๑ Tibetan ༡༠༥༡༣༠༡ Khmer ១០៥១៣០១ Lao ໑໐໕໑໓໐໑ Burmese ၁၀၅၁၃၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#100AA5
RGB(16, 10, 165)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.10.165.

Address
0.16.10.165
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.10.165

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 5, 1301 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1301-05-01 (DMMYYYY (Euro, single-digit day))
  • 1301-10-05 (MMDYYYY (US, single-digit day))
  • 1301-05-10 (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 1,051,301 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.