Live analysis

1,057,013

1,057,013 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.).

1,057,013 (one million fifty-seven thousand thirteen) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1020F5.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Sexy Prime Sophie Germain Prime Squarefree

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

1,057,001 1,057,002 1,057,003 1,057,004 1,057,005 1,057,006 1,057,007 1,057,008 1,057,009 1,057,010 1,057,011 1,057,012 1,057,013 1,057,014 1,057,015 1,057,016 1,057,017 1,057,018 1,057,019 1,057,020 1,057,021 1,057,022 1,057,023 1,057,024 1,057,025

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 21 bits
Reversed: 3,107,501
Square (n²): 1,117,276,482,169
Cube (n³): 1,180,975,766,246,901,197
Divisor count: 2
σ(n) — sum of divisors: 1,057,014
φ(n) — Euler's totient: 1,057,012

Primality

1,057,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1057013

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,057,013)

1 × 1057013

First multiples

1,057,013 · 2,114,026 (double) · 3,171,039 · 4,228,052 · 5,285,065 · 6,342,078 · 7,399,091 · 8,456,104 · 9,513,117 · 10,570,130

Sums & aliquot sequence

As a sum of two squares: 247² + 998²

As consecutive integers: 528,506 + 528,507

Continued fraction of √n

√1,057,013 = [1028; (8, 1, 45, 1, 5, 2, 1, 1, 2, 1, 1, 3, 1, 2, 120, 1, 1, 2, 7, 3, 1, 1, 1, 107, …)]

Representations

In words: one million fifty-seven thousand thirteen
Ordinal: 1057013th
Binary: 100000010000011110101
Octal: 4020365
Hexadecimal: 0x1020F5
Base64: ECD1
One's complement: 4,293,910,282 (32-bit)
Scientific notation: 1.057013 × 10⁶
As a duration: 1,057,013 s = 12 days, 5 hours, 36 minutes, 53 seconds

In other bases

ternary (3) 1222200221122

quaternary (4) 10002003311

quinary (5) 232311023

senary (6) 34353325

septenary (7) 11661446

nonary (9) 1880848

undecimal (11) 662171

duodecimal (12) 42b845

tridecimal (13) 2b0169

tetradecimal (14) 1d72cd

pentadecimal (15) 15d2c8

As an angle

1,057,013° = 2,936 × 360° + 53°

53° ≈ 0.925 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺
Chinese: 一百零五萬七千零一十三
Chinese (financial): 壹佰零伍萬柒仟零壹拾參

In other modern scripts

Eastern Arabic ١٠٥٧٠١٣ Devanagari १०५७०१३ Bengali ১০৫৭০১৩ Tamil ௧௦௫௭௦௧௩ Thai ๑๐๕๗๐๑๓ Tibetan ༡༠༥༧༠༡༣ Khmer ១០៥៧០១៣ Lao ໑໐໕໗໐໑໓ Burmese ၁၀၅၇၀၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,057,003 (gap of 10)
Next prime: 1,057,019 (gap of 6)

Pair status: sexy with 1057019.

Hex color

#1020F5

RGB(16, 32, 245)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.32.245.

Address: 0.16.32.245
Class: reserved
IPv4-mapped IPv6: ::ffff:0.16.32.245

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 5, 7013 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

7013-05-01 (DMMYYYY (Euro, single-digit day))
7013-10-05 (MMDYYYY (US, single-digit day))
7013-05-10 (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 1,057,013 and was likely granted around 1912.

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

Look up US1,057,013 on Google Patents ↗ Look up on USPTO ↗