Live analysis

1,054,013

1,054,013 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.).

1,054,013 (one million fifty-four thousand thirteen) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x10153D.

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

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

1,054,001 1,054,002 1,054,003 1,054,004 1,054,005 1,054,006 1,054,007 1,054,008 1,054,009 1,054,010 1,054,011 1,054,012 1,054,013 1,054,014 1,054,015 1,054,016 1,054,017 1,054,018 1,054,019 1,054,020 1,054,021 1,054,022 1,054,023 1,054,024 1,054,025

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 21 bits
Reversed: 3,104,501
Square (n²): 1,110,943,404,169
Cube (n³): 1,170,948,790,258,380,197
Divisor count: 2
σ(n) — sum of divisors: 1,054,014
φ(n) — Euler's totient: 1,054,012

Primality

1,054,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1054013

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,054,013)

1 × 1054013

First multiples

1,054,013 · 2,108,026 (double) · 3,162,039 · 4,216,052 · 5,270,065 · 6,324,078 · 7,378,091 · 8,432,104 · 9,486,117 · 10,540,130

Sums & aliquot sequence

As a sum of two squares: 133² + 1,018²

As consecutive integers: 527,006 + 527,007

Continued fraction of √n

√1,054,013 = [1026; (1, 1, 1, 6, 1, 1, 2, 3, 5, 8, 8, 17, 7, 1, 1, 1, 1, 11, 1, 119, 1, 6, 4, 5, …)]

Representations

In words: one million fifty-four thousand thirteen
Ordinal: 1054013th
Binary: 100000001010100111101
Octal: 4012475
Hexadecimal: 0x10153D
Base64: EBU9
One's complement: 4,293,913,282 (32-bit)
Scientific notation: 1.054013 × 10⁶
As a duration: 1,054,013 s = 12 days, 4 hours, 46 minutes, 53 seconds

In other bases

ternary (3) 1222112211112

quaternary (4) 10001110331

quinary (5) 232212023

senary (6) 34331405

septenary (7) 11646632

nonary (9) 1875745

undecimal (11) 65a994

duodecimal (12) 429b65

tridecimal (13) 2ab99c

tetradecimal (14) 1d6189

pentadecimal (15) 15c478

As an angle

1,054,013° = 2,927 × 360° + 293°

293° ≈ 5.114 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺
Chinese: 一百零五萬四千零一十三
Chinese (financial): 壹佰零伍萬肆仟零壹拾參

In other modern scripts

Eastern Arabic ١٠٥٤٠١٣ Devanagari १०५४०१३ Bengali ১০৫৪০১৩ Tamil ௧௦௫௪௦௧௩ Thai ๑๐๕๔๐๑๓ Tibetan ༡༠༥༤༠༡༣ Khmer ១០៥៤០១៣ Lao ໑໐໕໔໐໑໓ Burmese ၁၀၅၄၀၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,054,007 (gap of 6)
Next prime: 1,054,033 (gap of 20)

Pair status: sexy with 1054007.

Hex color

#10153D

RGB(16, 21, 61)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.21.61.

Address: 0.16.21.61
Class: reserved
IPv4-mapped IPv6: ::ffff:0.16.21.61

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 5, 4013 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

4013-05-01 (DMMYYYY (Euro, single-digit day))
4013-10-05 (MMDYYYY (US, single-digit day))
4013-05-10 (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 1,054,013 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 US1,054,013 on Google Patents ↗ Look up on USPTO ↗