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1,024,313

1,024,313 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.).

1,024,313 (one million twenty-four thousand three hundred thirteen) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xFA139.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
3,134,201
Square (n²)
1,049,217,121,969
Cube (n³)
1,074,726,737,855,432,297
Divisor count
2
σ(n) — sum of divisors
1,024,314
φ(n) — Euler's totient
1,024,312

Primality

1,024,313 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1024313
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,024,313)
1 × 1024313
First multiples
1,024,313 · 2,048,626 (double) · 3,072,939 · 4,097,252 · 5,121,565 · 6,145,878 · 7,170,191 · 8,194,504 · 9,218,817 · 10,243,130

Sums & aliquot sequence

As a sum of two squares: 13² + 1,012²
As consecutive integers: 512,156 + 512,157

Continued fraction of √n

√1,024,313 = [1012; (11, 1, 42, 6, 1, 1, 1, 2, 1, 6, 22, 1, 5, 1, 4, 2, 1, 7, 3, 5, 46, 1, 7, 1, …)]

Representations

In words
one million twenty-four thousand three hundred thirteen
Ordinal
1024313th
Binary
11111010000100111001
Octal
3720471
Hexadecimal
0xFA139
Base64
D6E5
One's complement
4,293,942,982 (32-bit)
Scientific notation
1.024313 × 10⁶
As a duration
1,024,313 s = 11 days, 20 hours, 31 minutes, 53 seconds
In other bases
ternary (3) 1221001002112
quaternary (4) 3322010321
quinary (5) 230234223
senary (6) 33542105
septenary (7) 11464223
nonary (9) 1831075
undecimal (11) 63a644
duodecimal (12) 414935
tridecimal (13) 29b304
tetradecimal (14) 1c9413
pentadecimal (15) 153778

As an angle

1,024,313° = 2,845 × 360° + 113°
113° ≈ 1.972 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Chinese
一百零二萬四千三百一十三
Chinese (financial)
壹佰零貳萬肆仟參佰壹拾參
In other modern scripts
Eastern Arabic ١٠٢٤٣١٣ Devanagari १०२४३१३ Bengali ১০২৪৩১৩ Tamil ௧௦௨௪௩௧௩ Thai ๑๐๒๔๓๑๓ Tibetan ༡༠༢༤༣༡༣ Khmer ១០២៤៣១៣ Lao ໑໐໒໔໓໑໓ Burmese ၁၀၂၄၃၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 1024307, sexy with 1024319.

Hex color
#0FA139
RGB(15, 161, 57)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.161.57.

Address
0.15.161.57
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.161.57

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 2, 4313 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 4313-02-01 (DMMYYYY (Euro, single-digit day))
  • 4313-10-02 (MMDYYYY (US, single-digit day))
  • 4313-02-10 (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 1,024,313 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.