Live analysis

1,013,003

1,013,003 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.).

1,013,003 (one million thirteen thousand three) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF750B.

Arithmetic Number Balanced Prime Cube-Free Deficient Number Evil Number Prime Safe Prime Sexy Prime Squarefree

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,012,991 1,012,992 1,012,993 1,012,994 1,012,995 1,012,996 1,012,997 1,012,998 1,012,999 1,013,000 1,013,001 1,013,002 1,013,003 1,013,004 1,013,005 1,013,006 1,013,007 1,013,008 1,013,009 1,013,010 1,013,011 1,013,012 1,013,013 1,013,014 1,013,015

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 3,003,101
Square (n²): 1,026,175,078,009
Cube (n³): 1,039,518,432,548,351,027
Divisor count: 2
σ(n) — sum of divisors: 1,013,004
φ(n) — Euler's totient: 1,013,002

Primality

1,013,003 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1013003

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,013,003)

1 × 1013003

First multiples

1,013,003 · 2,026,006 (double) · 3,039,009 · 4,052,012 · 5,065,015 · 6,078,018 · 7,091,021 · 8,104,024 · 9,117,027 · 10,130,030

Sums & aliquot sequence

As consecutive integers: 506,501 + 506,502

Continued fraction of √n

√1,013,003 = [1006; (2, 12, 3, 9, 12, 4, 7, 1, 3, 2, 3, 1, 2, 1, 3, 154, 1, 1, 2, 1, 4, 2, 1, 1, …)]

Representations

In words: one million thirteen thousand three
Ordinal: 1013003rd
Binary: 11110111010100001011
Octal: 3672413
Hexadecimal: 0xF750B
Base64: D3UL
One's complement: 4,293,954,292 (32-bit)
Scientific notation: 1.013003 × 10⁶
As a duration: 1,013,003 s = 11 days, 17 hours, 23 minutes, 23 seconds

In other bases

ternary (3) 1220110120122

quaternary (4) 3313110023

quinary (5) 224404003

senary (6) 33413455

septenary (7) 11416235

nonary (9) 1813518

undecimal (11) 6320a2

duodecimal (12) 40a28b

tridecimal (13) 296114

tetradecimal (14) 1c5255

pentadecimal (15) 150238

As an angle

1,013,003° = 2,813 × 360° + 323°

323° ≈ 5.637 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓏺𓏺𓏺
Chinese: 一百零一萬三千零三
Chinese (financial): 壹佰零壹萬參仟零參

In other modern scripts

Eastern Arabic ١٠١٣٠٠٣ Devanagari १०१३००३ Bengali ১০১৩০০৩ Tamil ௧௦௧௩௦௦௩ Thai ๑๐๑๓๐๐๓ Tibetan ༡༠༡༣༠༠༣ Khmer ១០១៣០០៣ Lao ໑໐໑໓໐໐໓ Burmese ၁၀၁၃၀၀၃

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,012,997 (gap of 6)
Next prime: 1,013,009 (gap of 6)

Pair status: sexy with 1012997, sexy with 1013009.

Hex color

#0F750B

RGB(15, 117, 11)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.117.11.

Address: 0.15.117.11
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.117.11

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 1, 3003 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3003-10-01 (MMDYYYY (US, single-digit day))
3003-01-10 (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 1,013,003 and was likely granted around 1911.

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

Look up US1,013,003 on Google Patents ↗ Look up on USPTO ↗