Live analysis

1,002,361

1,002,361 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.).

1,002,361 (one million two thousand three hundred sixty-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF4B79.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

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 1,002,362 1,002,363 1,002,364 1,002,365 1,002,366 1,002,367 1,002,368 1,002,369 1,002,370 1,002,371 1,002,372 1,002,373

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 1,632,001
Square (n²): 1,004,727,574,321
Cube (n³): 1,007,099,736,123,971,881
Divisor count: 2
σ(n) — sum of divisors: 1,002,362
φ(n) — Euler's totient: 1,002,360

Primality

1,002,361 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1002361

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,002,361)

1 × 1002361

First multiples

1,002,361 · 2,004,722 (double) · 3,007,083 · 4,009,444 · 5,011,805 · 6,014,166 · 7,016,527 · 8,018,888 · 9,021,249 · 10,023,610

Sums & aliquot sequence

As a sum of two squares: 200² + 981²

As consecutive integers: 501,180 + 501,181

Continued fraction of √n

√1,002,361 = [1001; (5, 1, 1, 3, 1, 1, 3, 1, 4, 1, 6, 7, 1, 24, 6, 1, 1, 3, 6, 7, 2, 1, 1, 12, …)]

Representations

In words: one million two thousand three hundred sixty-one
Ordinal: 1002361st
Binary: 11110100101101111001
Octal: 3645571
Hexadecimal: 0xF4B79
Base64: D0t5
One's complement: 4,293,964,934 (32-bit)
Scientific notation: 1.002361 × 10⁶
As a duration: 1,002,361 s = 11 days, 14 hours, 26 minutes, 1 second

In other bases

ternary (3) 1212220222111

quaternary (4) 3310231321

quinary (5) 224033421

senary (6) 33252321

septenary (7) 11343223

nonary (9) 1786874

undecimal (11) 6250a8

duodecimal (12) 4040a1

tridecimal (13) 291319

tetradecimal (14) 1c1413

pentadecimal (15) 14bee1

As an angle

1,002,361° = 2,784 × 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 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Chinese: 一百萬二千三百六十一
Chinese (financial): 壹佰萬貳仟參佰陸拾壹

In other modern scripts

Eastern Arabic ١٠٠٢٣٦١ Devanagari १००२३६१ Bengali ১০০২৩৬১ Tamil ௧௦௦௨௩௬௧ Thai ๑๐๐๒๓๖๑ Tibetan ༡༠༠༢༣༦༡ Khmer ១០០២៣៦១ Lao ໑໐໐໒໓໖໑ Burmese ၁၀၀၂၃၆၁

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,002,359 (gap of 2)
Next prime: 1,002,377 (gap of 16)

Pair status: twin with 1002359.

Hex color

#0F4B79

RGB(15, 75, 121)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.75.121.

Address: 0.15.75.121
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.75.121

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 1,002,361 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 US1,002,361 on Google Patents ↗ Look up on USPTO ↗