number.wiki
Live analysis

1,033,313

1,033,313 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.).

1,033,313 (one million thirty-three 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, 0xFC461.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Prime Pythagorean 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
3,133,301
Square (n²)
1,067,735,755,969
Cube (n³)
1,103,305,237,207,595,297
Divisor count
2
σ(n) — sum of divisors
1,033,314
φ(n) — Euler's totient
1,033,312

Primality

1,033,313 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1033313
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,033,313)
1 × 1033313
First multiples
1,033,313 · 2,066,626 (double) · 3,099,939 · 4,133,252 · 5,166,565 · 6,199,878 · 7,233,191 · 8,266,504 · 9,299,817 · 10,333,130

Sums & aliquot sequence

As a sum of two squares: 457² + 908²
As consecutive integers: 516,656 + 516,657

Continued fraction of √n

√1,033,313 = [1016; (1, 1, 11, 1, 35, 2, 1, 1, 1, 1, 17, 2, 1, 1, 1, 11, 1, 1, 4, 1, 2, 2, 1, 1, …)]

Representations

In words
one million thirty-three thousand three hundred thirteen
Ordinal
1033313th
Binary
11111100010001100001
Octal
3742141
Hexadecimal
0xFC461
Base64
D8Rh
One's complement
4,293,933,982 (32-bit)
Scientific notation
1.033313 × 10⁶
As a duration
1,033,313 s = 11 days, 23 hours, 1 minute, 53 seconds
In other bases
ternary (3) 1221111102212
quaternary (4) 3330101201
quinary (5) 231031223
senary (6) 34051505
septenary (7) 11532401
nonary (9) 1844385
undecimal (11) 646386
duodecimal (12) 419b95
tridecimal (13) 2a2438
tetradecimal (14) 1cc801
pentadecimal (15) 156278

As an angle

1,033,313° = 2,870 × 360° + 113°
113° ≈ 1.972 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Chinese
一百零三萬三千三百一十三
Chinese (financial)
壹佰零參萬參仟參佰壹拾參
In other modern scripts
Eastern Arabic ١٠٣٣٣١٣ Devanagari १०३३३१३ Bengali ১০৩৩৩১৩ Tamil ௧௦௩௩௩௧௩ Thai ๑๐๓๓๓๑๓ Tibetan ༡༠༣༣༣༡༣ Khmer ១០៣៣៣១៣ Lao ໑໐໓໓໓໑໓ Burmese ၁၀၃၃၃၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 1033309.

Hex color
#0FC461
RGB(15, 196, 97)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.196.97.

Address
0.15.196.97
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.196.97

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 3, 3313 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 3313-03-01 (DMMYYYY (Euro, single-digit day))
  • 3313-10-03 (MMDYYYY (US, single-digit day))
  • 3313-03-10 (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 1,033,313 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.