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1,051,313

1,051,313 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.).

1,051,313 (one million fifty-one thousand three hundred thirteen) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x100AB1.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
21 bits
Reversed
3,131,501
Square (n²)
1,105,259,023,969
Cube (n³)
1,161,973,180,265,921,297
Divisor count
2
σ(n) — sum of divisors
1,051,314
φ(n) — Euler's totient
1,051,312

Primality

1,051,313 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1051313
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,051,313)
1 × 1051313
First multiples
1,051,313 · 2,102,626 (double) · 3,153,939 · 4,205,252 · 5,256,565 · 6,307,878 · 7,359,191 · 8,410,504 · 9,461,817 · 10,513,130

Sums & aliquot sequence

As a sum of two squares: 697² + 752²
As consecutive integers: 525,656 + 525,657

Continued fraction of √n

√1,051,313 = [1025; (2, 1, 49, 2, 1, 6, 6, 1, 17, 2, 4, 2, 3, 1, 8, 1, 1, 65, 1, 1, 1, 1, 1, 11, …)]

Representations

In words
one million fifty-one thousand three hundred thirteen
Ordinal
1051313th
Binary
100000000101010110001
Octal
4005261
Hexadecimal
0x100AB1
Base64
EAqx
One's complement
4,293,915,982 (32-bit)
Scientific notation
1.051313 × 10⁶
As a duration
1,051,313 s = 12 days, 4 hours, 1 minute, 53 seconds
In other bases
ternary (3) 1222102010112
quaternary (4) 10000222301
quinary (5) 232120223
senary (6) 34311105
septenary (7) 11636024
nonary (9) 1872115
undecimal (11) 65895a
duodecimal (12) 428495
tridecimal (13) 2aa6a3
tetradecimal (14) 1d51bb
pentadecimal (15) 15b778

As an angle

1,051,313° = 2,920 × 360° + 113°
113° ≈ 1.972 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Chinese
一百零五萬一千三百一十三
Chinese (financial)
壹佰零伍萬壹仟參佰壹拾參
In other modern scripts
Eastern Arabic ١٠٥١٣١٣ Devanagari १०५१३१३ Bengali ১০৫১৩১৩ Tamil ௧௦௫௧௩௧௩ Thai ๑๐๕๑๓๑๓ Tibetan ༡༠༥༡༣༡༣ Khmer ១០៥១៣១៣ Lao ໑໐໕໑໓໑໓ Burmese ၁၀၅၁၃၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 1051319.

Hex color
#100AB1
RGB(16, 10, 177)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.10.177.

Address
0.16.10.177
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.10.177

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 5, 1313 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1313-05-01 (DMMYYYY (Euro, single-digit day))
  • 1313-10-05 (MMDYYYY (US, single-digit day))
  • 1313-05-10 (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 1,051,313 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.