Live analysis

1,010,993

1,010,993 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.).

1,010,993 (one million ten 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, 0xF6D31.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,010,981 1,010,982 1,010,983 1,010,984 1,010,985 1,010,986 1,010,987 1,010,988 1,010,989 1,010,990 1,010,991 1,010,992 1,010,993 1,010,994 1,010,995 1,010,996 1,010,997 1,010,998 1,010,999 1,011,000 1,011,001 1,011,002 1,011,003 1,011,004 1,011,005

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 23
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 3,990,101
Recamán's sequence: a(360,149) = 1,010,993
Square (n²): 1,022,106,846,049
Cube (n³): 1,033,342,866,607,616,657
Divisor count: 2
σ(n) — sum of divisors: 1,010,994
φ(n) — Euler's totient: 1,010,992

Primality

1,010,993 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1010993

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,010,993)

1 × 1010993

First multiples

1,010,993 · 2,021,986 (double) · 3,032,979 · 4,043,972 · 5,054,965 · 6,065,958 · 7,076,951 · 8,087,944 · 9,098,937 · 10,109,930

Sums & aliquot sequence

As a sum of two squares: 593² + 812²

As consecutive integers: 505,496 + 505,497

Continued fraction of √n

√1,010,993 = [1005; (2, 12, 1, 286, 2, 1, 4, 1, 1, 2, 2, 40, 1, 1, 1, 1, 1, 4, 1, 2, 2, 3, 1, 5, …)]

Representations

In words: one million ten thousand nine hundred ninety-three
Ordinal: 1010993rd
Binary: 11110110110100110001
Octal: 3666461
Hexadecimal: 0xF6D31
Base64: D20x
One's complement: 4,293,956,302 (32-bit)
Scientific notation: 1.010993 × 10⁶
As a duration: 1,010,993 s = 11 days, 16 hours, 49 minutes, 53 seconds

In other bases

ternary (3) 1220100211012

quaternary (4) 3312310301

quinary (5) 224322433

senary (6) 33400305

septenary (7) 11410334

nonary (9) 1810735

undecimal (11) 630635

duodecimal (12) 409095

tridecimal (13) 295229

tetradecimal (14) 1c461b

pentadecimal (15) 14e848

As an angle

1,010,993° = 2,808 × 360° + 113°

113° ≈ 1.972 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Chinese: 一百零一萬零九百九十三
Chinese (financial): 壹佰零壹萬零玖佰玖拾參

In other modern scripts

Eastern Arabic ١٠١٠٩٩٣ Devanagari १०१०९९३ Bengali ১০১০৯৯৩ Tamil ௧௦௧௦௯௯௩ Thai ๑๐๑๐๙๙๓ Tibetan ༡༠༡༠༩༩༣ Khmer ១០១០៩៩៣ Lao ໑໐໑໐໙໙໓ Burmese ၁၀၁၀၉၉၃

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,010,983 (gap of 10)
Next prime: 1,011,001 (gap of 8)

Hex color

#0F6D31

RGB(15, 109, 49)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.109.49.

Address: 0.15.109.49
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.109.49

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 1, 0993 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

0993-10-01 (MMDYYYY (US, single-digit day))
0993-01-10 (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 1,010,993 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 US1,010,993 on Google Patents ↗ Look up on USPTO ↗