Live analysis

1,012,993

1,012,993 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.).

1,012,993 (one million twelve 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, 0xF7501.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,012,981 1,012,982 1,012,983 1,012,984 1,012,985 1,012,986 1,012,987 1,012,988 1,012,989 1,012,990 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

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 25
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 3,992,101
Square (n²): 1,026,154,818,049
Cube (n³): 1,039,487,647,599,910,657
Divisor count: 2
σ(n) — sum of divisors: 1,012,994
φ(n) — Euler's totient: 1,012,992

Primality

1,012,993 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1012993

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,012,993)

1 × 1012993

First multiples

1,012,993 · 2,025,986 (double) · 3,038,979 · 4,051,972 · 5,064,965 · 6,077,958 · 7,090,951 · 8,103,944 · 9,116,937 · 10,129,930

Sums & aliquot sequence

As a sum of two squares: 392² + 927²

As consecutive integers: 506,496 + 506,497

Continued fraction of √n

√1,012,993 = [1006; (2, 9, 1, 2, 1, 1, 4, 1, 2, 2, 4, 4, 3, 1, 7, 1, 19, 22, 1, 1, 3, 4, 2, 9, …)]

Representations

In words: one million twelve thousand nine hundred ninety-three
Ordinal: 1012993rd
Binary: 11110111010100000001
Octal: 3672401
Hexadecimal: 0xF7501
Base64: D3UB
One's complement: 4,293,954,302 (32-bit)
Scientific notation: 1.012993 × 10⁶
As a duration: 1,012,993 s = 11 days, 17 hours, 23 minutes, 13 seconds

In other bases

ternary (3) 1220110120021

quaternary (4) 3313110001

quinary (5) 224403433

senary (6) 33413441

septenary (7) 11416222

nonary (9) 1813507

undecimal (11) 632093

duodecimal (12) 40a281

tridecimal (13) 296107

tetradecimal (14) 1c5249

pentadecimal (15) 15022d

As an angle

1,012,993° = 2,813 × 360° + 313°

313° ≈ 5.463 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Chinese: 一百零一萬二千九百九十三
Chinese (financial): 壹佰零壹萬貳仟玖佰玖拾參

In other modern scripts

Eastern Arabic ١٠١٢٩٩٣ Devanagari १०१२९९३ Bengali ১০১২৯৯৩ Tamil ௧௦௧௨௯௯௩ Thai ๑๐๑๒๙๙๓ Tibetan ༡༠༡༢༩༩༣ Khmer ១០១២៩៩៣ Lao ໑໐໑໒໙໙໓ Burmese ၁၀၁၂၉၉၃

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,012,981 (gap of 12)
Next prime: 1,012,997 (gap of 4)

Pair status: cousin with 1012997.

Hex color

#0F7501

RGB(15, 117, 1)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.117.1.

Address: 0.15.117.1
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.117.1

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 1, 2993 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

2993-10-01 (MMDYYYY (US, single-digit day))
2993-01-10 (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 1,012,993 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 US1,012,993 on Google Patents ↗ Look up on USPTO ↗