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1,024,321

1,024,321 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.).

1,024,321 (one million twenty-four thousand three hundred twenty-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xFA141.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
1,234,201
Square (n²)
1,049,233,511,041
Cube (n³)
1,074,751,919,263,028,161
Divisor count
2
σ(n) — sum of divisors
1,024,322
φ(n) — Euler's totient
1,024,320

Primality

1,024,321 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1024321
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,024,321)
1 × 1024321
First multiples
1,024,321 · 2,048,642 (double) · 3,072,963 · 4,097,284 · 5,121,605 · 6,145,926 · 7,170,247 · 8,194,568 · 9,218,889 · 10,243,210

Sums & aliquot sequence

As a sum of two squares: 385² + 936²
As consecutive integers: 512,160 + 512,161

Continued fraction of √n

√1,024,321 = [1012; (11, 2, 3, 2, 1, 1, 1, 6, 7, 9, 1, 1, 2, 4, 2, 5, 2, 18, 1, 4, 1, 1, 4, 3, …)]

Representations

In words
one million twenty-four thousand three hundred twenty-one
Ordinal
1024321st
Binary
11111010000101000001
Octal
3720501
Hexadecimal
0xFA141
Base64
D6FB
One's complement
4,293,942,974 (32-bit)
Scientific notation
1.024321 × 10⁶
As a duration
1,024,321 s = 11 days, 20 hours, 32 minutes, 1 second
In other bases
ternary (3) 1221001002211
quaternary (4) 3322011001
quinary (5) 230234241
senary (6) 33542121
septenary (7) 11464234
nonary (9) 1831084
undecimal (11) 63a651
duodecimal (12) 414941
tridecimal (13) 29b30c
tetradecimal (14) 1c941b
pentadecimal (15) 153781

As an angle

1,024,321° = 2,845 × 360° + 121°
121° ≈ 2.112 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺
Chinese
一百零二萬四千三百二十一
Chinese (financial)
壹佰零貳萬肆仟參佰貳拾壹
In other modern scripts
Eastern Arabic ١٠٢٤٣٢١ Devanagari १०२४३२१ Bengali ১০২৪৩২১ Tamil ௧௦௨௪௩௨௧ Thai ๑๐๒๔๓๒๑ Tibetan ༡༠༢༤༣༢༡ Khmer ១០២៤៣២១ Lao ໑໐໒໔໓໒໑ Burmese ၁၀၂၄၃၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 1024319, sexy with 1024327.

Hex color
#0FA141
RGB(15, 161, 65)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.161.65.

Address
0.15.161.65
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.161.65

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 2, 4321 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 4321-02-01 (DMMYYYY (Euro, single-digit day))
  • 4321-10-02 (MMDYYYY (US, single-digit day))
  • 4321-02-10 (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 1,024,321 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.