Live analysis

1,020,001

1,020,001 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.).

1,020,001 (one million twenty thousand one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF9061.

Arithmetic Number Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,019,989 1,019,990 1,019,991 1,019,992 1,019,993 1,019,994 1,019,995 1,019,996 1,019,997 1,019,998 1,019,999 1,020,000 1,020,001 1,020,002 1,020,003 1,020,004 1,020,005 1,020,006 1,020,007 1,020,008 1,020,009 1,020,010 1,020,011 1,020,012 1,020,013

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 4
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 1,000,201
Square (n²): 1,040,402,040,001
Cube (n³): 1,061,211,121,203,060,001
Divisor count: 2
σ(n) — sum of divisors: 1,020,002
φ(n) — Euler's totient: 1,020,000

Primality

1,020,001 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1020001

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,020,001)

1 × 1020001

First multiples

1,020,001 · 2,040,002 (double) · 3,060,003 · 4,080,004 · 5,100,005 · 6,120,006 · 7,140,007 · 8,160,008 · 9,180,009 · 10,200,010

Sums & aliquot sequence

As a sum of two squares: 340² + 951²

As consecutive integers: 510,000 + 510,001

Continued fraction of √n

√1,020,001 = [1009; (1, 19, 2, 2, 10, 1, 7, 1, 1, 62, 1, 1, 2, 4, 1, 2, 1, 5, 1, 2, 1, 1, 16, 3, …)]

Representations

In words: one million twenty thousand one
Ordinal: 1020001st
Binary: 11111001000001100001
Octal: 3710141
Hexadecimal: 0xF9061
Base64: D5Bh
One's complement: 4,293,947,294 (32-bit)
Scientific notation: 1.020001 × 10⁶
As a duration: 1,020,001 s = 11 days, 19 hours, 20 minutes, 1 second

In other bases

ternary (3) 1220211011211

quaternary (4) 3321001201

quinary (5) 230120001

senary (6) 33510121

septenary (7) 11445523

nonary (9) 1824154

undecimal (11) 637384

duodecimal (12) 412341

tridecimal (13) 299368

tetradecimal (14) 1c7a13

pentadecimal (15) 152351

As an angle

1,020,001° = 2,833 × 360° + 121°

121° ≈ 2.112 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋 𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓏺
Chinese: 一百零二萬零一
Chinese (financial): 壹佰零貳萬零壹

In other modern scripts

Eastern Arabic ١٠٢٠٠٠١ Devanagari १०२०००१ Bengali ১০২০০০১ Tamil ௧௦௨௦௦௦௧ Thai ๑๐๒๐๐๐๑ Tibetan ༡༠༢༠༠༠༡ Khmer ១០២០០០១ Lao ໑໐໒໐໐໐໑ Burmese ၁၀၂၀၀၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,019,971 (gap of 30)
Next prime: 1,020,007 (gap of 6)

Pair status: sexy with 1020007.

Hex color

#0F9061

RGB(15, 144, 97)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.144.97.

Address: 0.15.144.97
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.144.97

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 2, 0001 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

0001-02-01 (DMMYYYY (Euro, single-digit day))
0001-10-02 (MMDYYYY (US, single-digit day))
0001-02-10 (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 1,020,001 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 US1,020,001 on Google Patents ↗ Look up on USPTO ↗