Live analysis

1,065,013

1,065,013 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.).

1,065,013 (one million sixty-five thousand thirteen) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x104035.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Sexy Prime Squarefree Twin Prime

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

1,065,001 1,065,002 1,065,003 1,065,004 1,065,005 1,065,006 1,065,007 1,065,008 1,065,009 1,065,010 1,065,011 1,065,012 1,065,013 1,065,014 1,065,015 1,065,016 1,065,017 1,065,018 1,065,019 1,065,020 1,065,021 1,065,022 1,065,023 1,065,024 1,065,025

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Properties

Parity: Odd
Digit count: 7
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 21 bits
Reversed: 3,105,601
Square (n²): 1,134,252,690,169
Cube (n³): 1,207,993,860,314,957,197
Divisor count: 2
σ(n) — sum of divisors: 1,065,014
φ(n) — Euler's totient: 1,065,012

Primality

1,065,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1065013

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,065,013)

1 × 1065013

First multiples

1,065,013 · 2,130,026 (double) · 3,195,039 · 4,260,052 · 5,325,065 · 6,390,078 · 7,455,091 · 8,520,104 · 9,585,117 · 10,650,130

Sums & aliquot sequence

As a sum of two squares: 247² + 1,002²

As consecutive integers: 532,506 + 532,507

Continued fraction of √n

√1,065,013 = [1031; (1, 186, 1, 1, 1, 2, 1, 16, 3, 39, 2, 1, 2, 1, 4, 3, 2, 1, 1, 12, 13, 1, 1, 2, …)]

Representations

In words: one million sixty-five thousand thirteen
Ordinal: 1065013th
Binary: 100000100000000110101
Octal: 4040065
Hexadecimal: 0x104035
Base64: EEA1
One's complement: 4,293,902,282 (32-bit)
Scientific notation: 1.065013 × 10⁶
As a duration: 1,065,013 s = 12 days, 7 hours, 50 minutes, 13 seconds

In other bases

ternary (3) 2000002220221

quaternary (4) 10010000311

quinary (5) 233040023

senary (6) 34454341

septenary (7) 12023665

nonary (9) 2002827

undecimal (11) 668184

duodecimal (12) 4343b1

tridecimal (13) 2b39b1

tetradecimal (14) 1da1a5

pentadecimal (15) 16085d

As an angle

1,065,013° = 2,958 × 360° + 133°

133° ≈ 2.321 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺
Chinese: 一百零六萬五千零一十三
Chinese (financial): 壹佰零陸萬伍仟零壹拾參

In other modern scripts

Eastern Arabic ١٠٦٥٠١٣ Devanagari १०६५०१३ Bengali ১০৬৫০১৩ Tamil ௧௦௬௫௦௧௩ Thai ๑๐๖๕๐๑๓ Tibetan ༡༠༦༥༠༡༣ Khmer ១០៦៥០១៣ Lao ໑໐໖໕໐໑໓ Burmese ၁၀၆၅၀၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,065,011 (gap of 2)
Next prime: 1,065,017 (gap of 4)

Pair status: twin with 1065011, cousin with 1065017.

Hex color

#104035

RGB(16, 64, 53)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.64.53.

Address: 0.16.64.53
Class: reserved
IPv4-mapped IPv6: ::ffff:0.16.64.53

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 6, 5013 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

5013-06-01 (DMMYYYY (Euro, single-digit day))
5013-10-06 (MMDYYYY (US, single-digit day))
5013-06-10 (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 1,065,013 and was likely granted around 1913.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,065,013 on Google Patents ↗ Look up on USPTO ↗