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1,048,613

1,048,613 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.).

1,048,613 (one million forty-eight thousand six hundred thirteen) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x100025.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
21 bits
Reversed
3,168,401
Square (n²)
1,099,589,223,769
Cube (n³)
1,153,043,554,704,082,397
Divisor count
2
σ(n) — sum of divisors
1,048,614
φ(n) — Euler's totient
1,048,612

Primality

1,048,613 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1048613
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,048,613)
1 × 1048613
First multiples
1,048,613 · 2,097,226 (double) · 3,145,839 · 4,194,452 · 5,243,065 · 6,291,678 · 7,340,291 · 8,388,904 · 9,437,517 · 10,486,130

Sums & aliquot sequence

As a sum of two squares: 527² + 878²
As consecutive integers: 524,306 + 524,307

Continued fraction of √n

√1,048,613 = [1024; (55, 2, 1, 5, 2, 1, 27, 2, 1, 2, 2, 1, 4, 1, 1, 2, 1, 5, 2, 1, 3, 1, 1, 1, …)]

Representations

In words
one million forty-eight thousand six hundred thirteen
Ordinal
1048613th
Binary
100000000000000100101
Octal
4000045
Hexadecimal
0x100025
Base64
EAAl
One's complement
4,293,918,682 (32-bit)
Scientific notation
1.048613 × 10⁶
As a duration
1,048,613 s = 12 days, 3 hours, 16 minutes, 53 seconds
In other bases
ternary (3) 1222021102112
quaternary (4) 10000000211
quinary (5) 232023423
senary (6) 34250405
septenary (7) 11625116
nonary (9) 1867375
undecimal (11) 656925
duodecimal (12) 426a05
tridecimal (13) 2a93a7
tetradecimal (14) 1d420d
pentadecimal (15) 15aa78

As an angle

1,048,613° = 2,912 × 360° + 293°
293° ≈ 5.114 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Chinese
一百零四萬八千六百一十三
Chinese (financial)
壹佰零肆萬捌仟陸佰壹拾參
In other modern scripts
Eastern Arabic ١٠٤٨٦١٣ Devanagari १०४८६१३ Bengali ১০৪৮৬১৩ Tamil ௧௦௪௮௬௧௩ Thai ๑๐๔๘๖๑๓ Tibetan ༡༠༤༨༦༡༣ Khmer ១០៤៨៦១៣ Lao ໑໐໔໘໖໑໓ Burmese ၁၀၄၈၆၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 1048609.

Hex color
#100025
RGB(16, 0, 37)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.0.37.

Address
0.16.0.37
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.0.37

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 4, 8613 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 8613-04-01 (DMMYYYY (Euro, single-digit day))
  • 8613-10-04 (MMDYYYY (US, single-digit day))
  • 8613-04-10 (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 1,048,613 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.