Live analysis

1,002,349

1,002,349 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.).

1,002,349 (one million two thousand three hundred forty-nine) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF4B6D.

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

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,002,337 1,002,338 1,002,339 1,002,340 1,002,341 1,002,342 1,002,343 1,002,344 1,002,345 1,002,346 1,002,347 1,002,348 1,002,349 1,002,350 1,002,351 1,002,352 1,002,353 1,002,354 1,002,355 1,002,356 1,002,357 1,002,358 1,002,359 1,002,360 1,002,361

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 19
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 9,432,001
Square (n²): 1,004,703,517,801
Cube (n³): 1,007,063,566,364,314,549
Divisor count: 2
σ(n) — sum of divisors: 1,002,350
φ(n) — Euler's totient: 1,002,348

Primality

1,002,349 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1002349

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,002,349)

1 × 1002349

First multiples

1,002,349 · 2,004,698 (double) · 3,007,047 · 4,009,396 · 5,011,745 · 6,014,094 · 7,016,443 · 8,018,792 · 9,021,141 · 10,023,490

Sums & aliquot sequence

As a sum of two squares: 195² + 982²

As consecutive integers: 501,174 + 501,175

Continued fraction of √n

√1,002,349 = [1001; (5, 1, 3, 18, 3, 1, 1, 2, 1, 1, 1, 8, 6, 1, 2, 21, 2, 2, 2, 3, 1, 1, 2, 3, …)]

Representations

In words: one million two thousand three hundred forty-nine
Ordinal: 1002349th
Binary: 11110100101101101101
Octal: 3645555
Hexadecimal: 0xF4B6D
Base64: D0tt
One's complement: 4,293,964,946 (32-bit)
Scientific notation: 1.002349 × 10⁶
As a duration: 1,002,349 s = 11 days, 14 hours, 25 minutes, 49 seconds

In other bases

ternary (3) 1212220222001

quaternary (4) 3310231231

quinary (5) 224033344

senary (6) 33252301

septenary (7) 11343205

nonary (9) 1786861

undecimal (11) 625097

duodecimal (12) 404091

tridecimal (13) 29130a

tetradecimal (14) 1c1405

pentadecimal (15) 14bed4

As an angle

1,002,349° = 2,784 × 360° + 109°

109° ≈ 1.902 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬二千三百四十九
Chinese (financial): 壹佰萬貳仟參佰肆拾玖

In other modern scripts

Eastern Arabic ١٠٠٢٣٤٩ Devanagari १००२३४९ Bengali ১০০২৩৪৯ Tamil ௧௦௦௨௩௪௯ Thai ๑๐๐๒๓๔๙ Tibetan ༡༠༠༢༣༤༩ Khmer ១០០២៣៤៩ Lao ໑໐໐໒໓໔໙ Burmese ၁၀၀၂၃၄၉

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,002,347 (gap of 2)
Next prime: 1,002,359 (gap of 10)

Pair status: twin with 1002347.

Hex color

#0F4B6D

RGB(15, 75, 109)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.75.109.

Address: 0.15.75.109
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.75.109

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 1,002,349 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 US1,002,349 on Google Patents ↗ Look up on USPTO ↗