Live analysis

1,002,049

1,002,049 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.).

1,002,049 (one million two thousand forty-nine) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF4A41.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,002,037 1,002,038 1,002,039 1,002,040 1,002,041 1,002,042 1,002,043 1,002,044 1,002,045 1,002,046 1,002,047 1,002,048 1,002,049 1,002,050 1,002,051 1,002,052 1,002,053 1,002,054 1,002,055 1,002,056 1,002,057 1,002,058 1,002,059 1,002,060 1,002,061

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 9,402,001
Square (n²): 1,004,102,198,401
Cube (n³): 1,006,159,603,805,523,649
Divisor count: 2
σ(n) — sum of divisors: 1,002,050
φ(n) — Euler's totient: 1,002,048

Primality

1,002,049 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1002049

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,002,049)

1 × 1002049

First multiples

1,002,049 · 2,004,098 (double) · 3,006,147 · 4,008,196 · 5,010,245 · 6,012,294 · 7,014,343 · 8,016,392 · 9,018,441 · 10,020,490

Sums & aliquot sequence

As a sum of two squares: 255² + 968²

As consecutive integers: 501,024 + 501,025

Continued fraction of √n

√1,002,049 = [1001; (41, 1, 2, 2, 3, 3, 5, 2, 3, 4, 1, 1, 1, 1, 1, 1, 1, 1, 14, 9, 1, 2, 3, 4, …)]

Representations

In words: one million two thousand forty-nine
Ordinal: 1002049th
Binary: 11110100101001000001
Octal: 3645101
Hexadecimal: 0xF4A41
Base64: D0pB
One's complement: 4,293,965,246 (32-bit)
Scientific notation: 1.002049 × 10⁶
As a duration: 1,002,049 s = 11 days, 14 hours, 20 minutes, 49 seconds

In other bases

ternary (3) 1212220112221

quaternary (4) 3310221001

quinary (5) 224031144

senary (6) 33251041

septenary (7) 11342266

nonary (9) 1786487

undecimal (11) 624944

duodecimal (12) 403a81

tridecimal (13) 291139

tetradecimal (14) 1c126d

pentadecimal (15) 14bd84

As an angle

1,002,049° = 2,783 × 360° + 169°

169° ≈ 2.95 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬二千零四十九
Chinese (financial): 壹佰萬貳仟零肆拾玖

In other modern scripts

Eastern Arabic ١٠٠٢٠٤٩ Devanagari १००२०४९ Bengali ১০০২০৪৯ Tamil ௧௦௦௨௦௪௯ Thai ๑๐๐๒๐๔๙ Tibetan ༡༠༠༢༠༤༩ Khmer ១០០២០៤៩ Lao ໑໐໐໒໐໔໙ Burmese ၁၀၀၂၀၄၉

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,002,017 (gap of 32)
Next prime: 1,002,061 (gap of 12)

Hex color

#0F4A41

RGB(15, 74, 65)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.65.

Address: 0.15.74.65
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.74.65

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 1,002,049 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 US1,002,049 on Google Patents ↗ Look up on USPTO ↗