Live analysis

1,013,993

1,013,993 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.).

1,013,993 (one million thirteen thousand nine hundred ninety-three) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF78E9.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,013,981 1,013,982 1,013,983 1,013,984 1,013,985 1,013,986 1,013,987 1,013,988 1,013,989 1,013,990 1,013,991 1,013,992 1,013,993 1,013,994 1,013,995 1,013,996 1,013,997 1,013,998 1,013,999 1,014,000 1,014,001 1,014,002 1,014,003 1,014,004 1,014,005

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 26
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 3,993,101
Square (n²): 1,028,181,804,049
Cube (n³): 1,042,569,152,033,057,657
Divisor count: 2
σ(n) — sum of divisors: 1,013,994
φ(n) — Euler's totient: 1,013,992

Primality

1,013,993 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1013993

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,013,993)

1 × 1013993

First multiples

1,013,993 · 2,027,986 (double) · 3,041,979 · 4,055,972 · 5,069,965 · 6,083,958 · 7,097,951 · 8,111,944 · 9,125,937 · 10,139,930

Sums & aliquot sequence

As a sum of two squares: 173² + 992²

As consecutive integers: 506,996 + 506,997

Continued fraction of √n

√1,013,993 = [1006; (1, 34, 1, 26, 1, 1, 1, 1, 1, 1, 8, 5, 1, 1, 2, 3, 3, 2, 6, 5, 4, 9, 1, 64, …)]

Representations

In words: one million thirteen thousand nine hundred ninety-three
Ordinal: 1013993rd
Binary: 11110111100011101001
Octal: 3674351
Hexadecimal: 0xF78E9
Base64: D3jp
One's complement: 4,293,953,302 (32-bit)
Scientific notation: 1.013993 × 10⁶
As a duration: 1,013,993 s = 11 days, 17 hours, 39 minutes, 53 seconds

In other bases

ternary (3) 1220111221022

quaternary (4) 3313203221

quinary (5) 224421433

senary (6) 33422225

septenary (7) 11422151

nonary (9) 1814838

undecimal (11) 632912

duodecimal (12) 40a975

tridecimal (13) 2966c6

tetradecimal (14) 1c5761

pentadecimal (15) 150698

As an angle

1,013,993° = 2,816 × 360° + 233°

233° ≈ 4.067 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Chinese: 一百零一萬三千九百九十三
Chinese (financial): 壹佰零壹萬參仟玖佰玖拾參

In other modern scripts

Eastern Arabic ١٠١٣٩٩٣ Devanagari १०१३९९३ Bengali ১০১৩৯৯৩ Tamil ௧௦௧௩௯௯௩ Thai ๑๐๑๓๙๙๓ Tibetan ༡༠༡༣༩༩༣ Khmer ១០១៣៩៩៣ Lao ໑໐໑໓໙໙໓ Burmese ၁၀၁၃၉၉၃

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,013,933 (gap of 60)
Next prime: 1,014,007 (gap of 14)

Hex color

#0F78E9

RGB(15, 120, 233)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.120.233.

Address: 0.15.120.233
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.120.233

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 1, 3993 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3993-10-01 (MMDYYYY (US, single-digit day))
3993-01-10 (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 1,013,993 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 US1,013,993 on Google Patents ↗ Look up on USPTO ↗