Live analysis

1,002,073

1,002,073 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.).

1,002,073 (one million two thousand seventy-three) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF4A59.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,002,061 1,002,062 1,002,063 1,002,064 1,002,065 1,002,066 1,002,067 1,002,068 1,002,069 1,002,070 1,002,071 1,002,072 1,002,073 1,002,074 1,002,075 1,002,076 1,002,077 1,002,078 1,002,079 1,002,080 1,002,081 1,002,082 1,002,083 1,002,084 1,002,085

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 3,702,001
Square (n²): 1,004,150,297,329
Cube (n³): 1,006,231,900,895,363,017
Divisor count: 2
σ(n) — sum of divisors: 1,002,074
φ(n) — Euler's totient: 1,002,072

Primality

1,002,073 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1002073

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,002,073)

1 × 1002073

First multiples

1,002,073 · 2,004,146 (double) · 3,006,219 · 4,008,292 · 5,010,365 · 6,012,438 · 7,014,511 · 8,016,584 · 9,018,657 · 10,020,730

Sums & aliquot sequence

As a sum of two squares: 648² + 763²

As consecutive integers: 501,036 + 501,037

Continued fraction of √n

√1,002,073 = [1001; (27, 1, 4, 6, 2, 2, 6, 4, 1, 27, 2002)]

Period length 11 — the block in parentheses repeats forever.

Representations

In words: one million two thousand seventy-three
Ordinal: 1002073rd
Binary: 11110100101001011001
Octal: 3645131
Hexadecimal: 0xF4A59
Base64: D0pZ
One's complement: 4,293,965,222 (32-bit)
Scientific notation: 1.002073 × 10⁶
As a duration: 1,002,073 s = 11 days, 14 hours, 21 minutes, 13 seconds

In other bases

ternary (3) 1212220120211

quaternary (4) 3310221121

quinary (5) 224031243

senary (6) 33251121

septenary (7) 11342332

nonary (9) 1786524

undecimal (11) 624966

duodecimal (12) 403aa1

tridecimal (13) 291157

tetradecimal (14) 1c1289

pentadecimal (15) 14bd9d

As an angle

1,002,073° = 2,783 × 360° + 193°

193° ≈ 3.368 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Chinese: 一百萬二千零七十三
Chinese (financial): 壹佰萬貳仟零柒拾參

In other modern scripts

Eastern Arabic ١٠٠٢٠٧٣ Devanagari १००२०७३ Bengali ১০০২০৭৩ Tamil ௧௦௦௨௦௭௩ Thai ๑๐๐๒๐๗๓ Tibetan ༡༠༠༢༠༧༣ Khmer ១០០២០៧៣ Lao ໑໐໐໒໐໗໓ Burmese ၁၀၀၂၀၇၃

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,002,061 (gap of 12)
Next prime: 1,002,077 (gap of 4)

Pair status: cousin with 1002077.

Hex color

#0F4A59

RGB(15, 74, 89)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.89.

Address: 0.15.74.89
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.74.89

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

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 1,002,073 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 US1,002,073 on Google Patents ↗ Look up on USPTO ↗