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1,056,361

1,056,361 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.).

1,056,361 (one million fifty-six 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, 0x101E69.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
21 bits
Reversed
1,636,501
Square (n²)
1,115,898,562,321
Cube (n³)
1,178,791,721,191,973,881
Divisor count
2
σ(n) — sum of divisors
1,056,362
φ(n) — Euler's totient
1,056,360

Primality

1,056,361 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1056361
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,056,361)
1 × 1056361
First multiples
1,056,361 · 2,112,722 (double) · 3,169,083 · 4,225,444 · 5,281,805 · 6,338,166 · 7,394,527 · 8,450,888 · 9,507,249 · 10,563,610

Sums & aliquot sequence

As a sum of two squares: 531² + 880²
As consecutive integers: 528,180 + 528,181

Continued fraction of √n

√1,056,361 = [1027; (1, 3, 1, 6, 6, 1, 11, 45, 1, 1, 2, 8, 2, 1, 6, 1, 7, 5, 4, 2, 2, 1, 4, 64, …)]

Representations

In words
one million fifty-six thousand three hundred sixty-one
Ordinal
1056361st
Binary
100000001111001101001
Octal
4017151
Hexadecimal
0x101E69
Base64
EB5p
One's complement
4,293,910,934 (32-bit)
Scientific notation
1.056361 × 10⁶
As a duration
1,056,361 s = 12 days, 5 hours, 26 minutes, 1 second
In other bases
ternary (3) 1222200001111
quaternary (4) 10001321221
quinary (5) 232300421
senary (6) 34350321
septenary (7) 11656525
nonary (9) 1880044
undecimal (11) 661729
duodecimal (12) 42b3a1
tridecimal (13) 2aca87
tetradecimal (14) 1d6d85
pentadecimal (15) 15cee1

As an angle

1,056,361° = 2,934 × 360° + 121°
121° ≈ 2.112 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Chinese
一百零五萬六千三百六十一
Chinese (financial)
壹佰零伍萬陸仟參佰陸拾壹
In other modern scripts
Eastern Arabic ١٠٥٦٣٦١ Devanagari १०५६३६१ Bengali ১০৫৬৩৬১ Tamil ௧௦௫௬௩௬௧ Thai ๑๐๕๖๓๖๑ Tibetan ༡༠༥༦༣༦༡ Khmer ១០៥៦៣៦១ Lao ໑໐໕໖໓໖໑ Burmese ၁၀၅၆၃၆၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#101E69
RGB(16, 30, 105)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.30.105.

Address
0.16.30.105
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.30.105

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 5, 6361 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 6361-05-01 (DMMYYYY (Euro, single-digit day))
  • 6361-10-05 (MMDYYYY (US, single-digit day))
  • 6361-05-10 (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 1,056,361 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.