Live analysis

1,025,021

1,025,021 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.).

1,025,021 (one million twenty-five thousand twenty-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xFA3FD.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,025,009 1,025,010 1,025,011 1,025,012 1,025,013 1,025,014 1,025,015 1,025,016 1,025,017 1,025,018 1,025,019 1,025,020 1,025,021 1,025,022 1,025,023 1,025,024 1,025,025 1,025,026 1,025,027 1,025,028 1,025,029 1,025,030 1,025,031 1,025,032 1,025,033

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 1,205,201
Square (n²): 1,050,668,050,441
Cube (n³): 1,076,956,815,731,084,261
Divisor count: 2
σ(n) — sum of divisors: 1,025,022
φ(n) — Euler's totient: 1,025,020

Primality

1,025,021 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1025021

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,025,021)

1 × 1025021

First multiples

1,025,021 · 2,050,042 (double) · 3,075,063 · 4,100,084 · 5,125,105 · 6,150,126 · 7,175,147 · 8,200,168 · 9,225,189 · 10,250,210

Sums & aliquot sequence

As a sum of two squares: 614² + 805²

As consecutive integers: 512,510 + 512,511

Continued fraction of √n

√1,025,021 = [1012; (2, 3, 4, 8, 1, 1, 1, 1, 3, 1, 9, 1, 1, 4, 1, 2, 3, 1, 2, 26, 3, 1, 1, 4, …)]

Representations

In words: one million twenty-five thousand twenty-one
Ordinal: 1025021st
Binary: 11111010001111111101
Octal: 3721775
Hexadecimal: 0xFA3FD
Base64: D6P9
One's complement: 4,293,942,274 (32-bit)
Scientific notation: 1.025021 × 10⁶
As a duration: 1,025,021 s = 11 days, 20 hours, 43 minutes, 41 seconds

In other bases

ternary (3) 1221002001202

quaternary (4) 3322033331

quinary (5) 230300041

senary (6) 33545245

septenary (7) 11466254

nonary (9) 1832052

undecimal (11) 640128

duodecimal (12) 415225

tridecimal (13) 29b72a

tetradecimal (14) 1c979b

pentadecimal (15) 153a9b

As an angle

1,025,021° = 2,847 × 360° + 101°

101° ≈ 1.763 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓏺
Chinese: 一百零二萬五千零二十一
Chinese (financial): 壹佰零貳萬伍仟零貳拾壹

In other modern scripts

Eastern Arabic ١٠٢٥٠٢١ Devanagari १०२५०२१ Bengali ১০২৫০২১ Tamil ௧௦௨௫௦௨௧ Thai ๑๐๒๕๐๒๑ Tibetan ༡༠༢༥༠༢༡ Khmer ១០២៥០២១ Lao ໑໐໒໕໐໒໑ Burmese ၁၀၂၅၀၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,025,009 (gap of 12)
Next prime: 1,025,029 (gap of 8)

Hex color

#0FA3FD

RGB(15, 163, 253)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.163.253.

Address: 0.15.163.253
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.163.253

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 2, 5021 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

5021-02-01 (DMMYYYY (Euro, single-digit day))
5021-10-02 (MMDYYYY (US, single-digit day))
5021-02-10 (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 1,025,021 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 US1,025,021 on Google Patents ↗ Look up on USPTO ↗