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1,057,361

1,057,361 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.).

1,057,361 (one million fifty-seven thousand three hundred sixty-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x102251.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Evil 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
1,637,501
Square (n²)
1,118,012,284,321
Cube (n³)
1,182,142,586,961,936,881
Divisor count
2
σ(n) — sum of divisors
1,057,362
φ(n) — Euler's totient
1,057,360

Primality

1,057,361 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1057361
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,057,361)
1 × 1057361
First multiples
1,057,361 · 2,114,722 (double) · 3,172,083 · 4,229,444 · 5,286,805 · 6,344,166 · 7,401,527 · 8,458,888 · 9,516,249 · 10,573,610

Sums & aliquot sequence

As a sum of two squares: 556² + 865²
As consecutive integers: 528,680 + 528,681

Continued fraction of √n

√1,057,361 = [1028; (3, 1, 1, 3, 2, 2, 1, 2, 2, 1, 7, 1, 2, 4, 4, 10, 21, 1, 1, 4, 2, 7, 3, 4, …)]

Representations

In words
one million fifty-seven thousand three hundred sixty-one
Ordinal
1057361st
Binary
100000010001001010001
Octal
4021121
Hexadecimal
0x102251
Base64
ECJR
One's complement
4,293,909,934 (32-bit)
Scientific notation
1.057361 × 10⁶
As a duration
1,057,361 s = 12 days, 5 hours, 42 minutes, 41 seconds
In other bases
ternary (3) 1222201102112
quaternary (4) 10002021101
quinary (5) 232313421
senary (6) 34355105
septenary (7) 11662454
nonary (9) 1881375
undecimal (11) 662458
duodecimal (12) 42ba95
tridecimal (13) 2b0376
tetradecimal (14) 1d749b
pentadecimal (15) 15d45b

As an angle

1,057,361° = 2,937 × 360° + 41°
41° ≈ 0.716 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Chinese
一百零五萬七千三百六十一
Chinese (financial)
壹佰零伍萬柒仟參佰陸拾壹
In other modern scripts
Eastern Arabic ١٠٥٧٣٦١ Devanagari १०५७३६१ Bengali ১০৫৭৩৬১ Tamil ௧௦௫௭௩௬௧ Thai ๑๐๕๗๓๖๑ Tibetan ༡༠༥༧༣༦༡ Khmer ១០៥៧៣៦១ Lao ໑໐໕໗໓໖໑ Burmese ၁၀၅၇၃၆၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 1057367.

Hex color
#102251
RGB(16, 34, 81)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.34.81.

Address
0.16.34.81
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.34.81

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 5, 7361 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 7361-05-01 (DMMYYYY (Euro, single-digit day))
  • 7361-10-05 (MMDYYYY (US, single-digit day))
  • 7361-05-10 (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 1,057,361 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.