number.wiki
Live analysis

1,048,013

1,048,013 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.).

1,048,013 (one million forty-eight thousand thirteen) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xFFDCD.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Happy Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
20 bits
Reversed
3,108,401
Square (n²)
1,098,331,248,169
Cube (n³)
1,151,065,426,387,338,197
Divisor count
2
σ(n) — sum of divisors
1,048,014
φ(n) — Euler's totient
1,048,012

Primality

1,048,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1048013
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,048,013)
1 × 1048013
First multiples
1,048,013 · 2,096,026 (double) · 3,144,039 · 4,192,052 · 5,240,065 · 6,288,078 · 7,336,091 · 8,384,104 · 9,432,117 · 10,480,130

Sums & aliquot sequence

As a sum of two squares: 518² + 883²
As consecutive integers: 524,006 + 524,007

Continued fraction of √n

√1,048,013 = [1023; (1, 2, 1, 1, 1, 3, 10, 73, 38, 1, 1, 1, 1, 1, 1, 2, 4, 10, 4, 1, 1, 2, 2, 1, …)]

Representations

In words
one million forty-eight thousand thirteen
Ordinal
1048013th
Binary
11111111110111001101
Octal
3776715
Hexadecimal
0xFFDCD
Base64
D/3N
One's complement
4,293,919,282 (32-bit)
Scientific notation
1.048013 × 10⁶
As a duration
1,048,013 s = 12 days, 3 hours, 6 minutes, 53 seconds
In other bases
ternary (3) 1222020121022
quaternary (4) 3333313031
quinary (5) 232014023
senary (6) 34243525
septenary (7) 11623301
nonary (9) 1866538
undecimal (11) 65642a
duodecimal (12) 4265a5
tridecimal (13) 2a9035
tetradecimal (14) 1d3d01
pentadecimal (15) 15a7c8

As an angle

1,048,013° = 2,911 × 360° + 53°
53° ≈ 0.925 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺
Chinese
一百零四萬八千零一十三
Chinese (financial)
壹佰零肆萬捌仟零壹拾參
In other modern scripts
Eastern Arabic ١٠٤٨٠١٣ Devanagari १०४८०१३ Bengali ১০৪৮০১৩ Tamil ௧௦௪௮௦௧௩ Thai ๑๐๔๘๐๑๓ Tibetan ༡༠༤༨༠༡༣ Khmer ១០៤៨០១៣ Lao ໑໐໔໘໐໑໓ Burmese ၁၀၄၈၀၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 1048009.

Hex color
#0FFDCD
RGB(15, 253, 205)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.253.205.

Address
0.15.253.205
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.253.205

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 4, 8013 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 8013-04-01 (DMMYYYY (Euro, single-digit day))
  • 8013-10-04 (MMDYYYY (US, single-digit day))
  • 8013-04-10 (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 1,048,013 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.