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1,023,301

1,023,301 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.).

1,023,301 (one million twenty-three thousand three hundred one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF9D45.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
20 bits
Reversed
1,033,201
Square (n²)
1,047,144,936,601
Cube (n³)
1,071,544,460,768,739,901
Divisor count
2
σ(n) — sum of divisors
1,023,302
φ(n) — Euler's totient
1,023,300

Primality

1,023,301 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1023301
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,023,301)
1 × 1023301
First multiples
1,023,301 · 2,046,602 (double) · 3,069,903 · 4,093,204 · 5,116,505 · 6,139,806 · 7,163,107 · 8,186,408 · 9,209,709 · 10,233,010

Sums & aliquot sequence

As a sum of two squares: 550² + 849²
As consecutive integers: 511,650 + 511,651

Continued fraction of √n

√1,023,301 = [1011; (1, 1, 2, 2, 87, 1, 1, 4, 1, 4, 5, 3, 1, 1, 1, 2, 1, 1, 2, 2, 17, 44, 1, 9, …)]

Representations

In words
one million twenty-three thousand three hundred one
Ordinal
1023301st
Binary
11111001110101000101
Octal
3716505
Hexadecimal
0xF9D45
Base64
D51F
One's complement
4,293,943,994 (32-bit)
Scientific notation
1.023301 × 10⁶
As a duration
1,023,301 s = 11 days, 20 hours, 15 minutes, 1 second
In other bases
ternary (3) 1220222201001
quaternary (4) 3321311011
quinary (5) 230221201
senary (6) 33533301
septenary (7) 11461246
nonary (9) 1828631
undecimal (11) 639904
duodecimal (12) 414231
tridecimal (13) 29aa06
tetradecimal (14) 1c8ccd
pentadecimal (15) 153301

As an angle

1,023,301° = 2,842 × 360° + 181°
181° ≈ 3.159 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓏺
Chinese
一百零二萬三千三百零一
Chinese (financial)
壹佰零貳萬參仟參佰零壹
In other modern scripts
Eastern Arabic ١٠٢٣٣٠١ Devanagari १०२३३०१ Bengali ১০২৩৩০১ Tamil ௧௦௨௩௩௦௧ Thai ๑๐๒๓๓๐๑ Tibetan ༡༠༢༣༣༠༡ Khmer ១០២៣៣០១ Lao ໑໐໒໓໓໐໑ Burmese ၁၀၂၃၃၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 1023299.

Hex color
#0F9D45
RGB(15, 157, 69)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.157.69.

Address
0.15.157.69
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.157.69

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 2, 3301 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 3301-02-01 (DMMYYYY (Euro, single-digit day))
  • 3301-10-02 (MMDYYYY (US, single-digit day))
  • 3301-02-10 (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 1,023,301 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.