Live analysis

1,059,001

1,059,001 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.).

1,059,001 (one million fifty-nine thousand one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1028B9.

Arithmetic Number Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Sexy Prime Squarefree Twin Prime

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

1,058,989 1,058,990 1,058,991 1,058,992 1,058,993 1,058,994 1,058,995 1,058,996 1,058,997 1,058,998 1,058,999 1,059,000 1,059,001 1,059,002 1,059,003 1,059,004 1,059,005 1,059,006 1,059,007 1,059,008 1,059,009 1,059,010 1,059,011 1,059,012 1,059,013

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 21 bits
Reversed: 1,009,501
Square (n²): 1,121,483,118,001
Cube (n³): 1,187,651,743,446,177,001
Divisor count: 2
σ(n) — sum of divisors: 1,059,002
φ(n) — Euler's totient: 1,059,000

Primality

1,059,001 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1059001

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,059,001)

1 × 1059001

First multiples

1,059,001 · 2,118,002 (double) · 3,177,003 · 4,236,004 · 5,295,005 · 6,354,006 · 7,413,007 · 8,472,008 · 9,531,009 · 10,590,010

Sums & aliquot sequence

As a sum of two squares: 499² + 900²

As consecutive integers: 529,500 + 529,501

Continued fraction of √n

√1,059,001 = [1029; (12, 1, 6, 3, 2, 1, 6, 20, 4, 2, 1, 1, 1, 9, 1, 2, 2, 61, 1, 16, 5, 1, 42, 23, …)]

Representations

In words: one million fifty-nine thousand one
Ordinal: 1059001st
Binary: 100000010100010111001
Octal: 4024271
Hexadecimal: 0x1028B9
Base64: ECi5
One's complement: 4,293,908,294 (32-bit)
Scientific notation: 1.059001 × 10⁶
As a duration: 1,059,001 s = 12 days, 6 hours, 10 minutes, 1 second

In other bases

ternary (3) 1222210200021

quaternary (4) 10002202321

quinary (5) 232342001

senary (6) 34410441

septenary (7) 12000316

nonary (9) 1883607

undecimal (11) 663709

duodecimal (12) 430a21

tridecimal (13) 2b1038

tetradecimal (14) 1d7d0d

pentadecimal (15) 15dba1

As an angle

1,059,001° = 2,941 × 360° + 241°

241° ≈ 4.206 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋 𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺
Chinese: 一百零五萬九千零一
Chinese (financial): 壹佰零伍萬玖仟零壹

In other modern scripts

Eastern Arabic ١٠٥٩٠٠١ Devanagari १०५९००१ Bengali ১০৫৯০০১ Tamil ௧௦௫௯௦௦௧ Thai ๑๐๕๙๐๐๑ Tibetan ༡༠༥༩༠༠༡ Khmer ១០៥៩០០១ Lao ໑໐໕໙໐໐໑ Burmese ၁၀၅၉၀၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,058,999 (gap of 2)
Next prime: 1,059,007 (gap of 6)

Pair status: twin with 1058999, sexy with 1059007.

Hex color

#1028B9

RGB(16, 40, 185)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.40.185.

Address: 0.16.40.185
Class: reserved
IPv4-mapped IPv6: ::ffff:0.16.40.185

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 5, 9001 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

9001-05-01 (DMMYYYY (Euro, single-digit day))
9001-10-05 (MMDYYYY (US, single-digit day))
9001-05-10 (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 1,059,001 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 US1,059,001 on Google Patents ↗ Look up on USPTO ↗