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1,045,013

1,045,013 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.).

1,045,013 (one million forty-five thousand thirteen) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xFF215.

Arithmetic Number 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
3,105,401
Square (n²)
1,092,052,170,169
Cube (n³)
1,141,208,714,504,817,197
Divisor count
2
σ(n) — sum of divisors
1,045,014
φ(n) — Euler's totient
1,045,012

Primality

1,045,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1045013
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,045,013)
1 × 1045013
First multiples
1,045,013 · 2,090,026 (double) · 3,135,039 · 4,180,052 · 5,225,065 · 6,270,078 · 7,315,091 · 8,360,104 · 9,405,117 · 10,450,130

Sums & aliquot sequence

As a sum of two squares: 23² + 1,022²
As consecutive integers: 522,506 + 522,507

Continued fraction of √n

√1,045,013 = [1022; (3, 1, 6, 2, 1, 2, 11, 1, 6, 1, 2, 7, 3, 1, 1, 3, 1, 1, 2, 7, 1, 88, 88, 1, …)]

Period length 45 — the block in parentheses repeats forever.

Representations

In words
one million forty-five thousand thirteen
Ordinal
1045013th
Binary
11111111001000010101
Octal
3771025
Hexadecimal
0xFF215
Base64
D/IV
One's complement
4,293,922,282 (32-bit)
Scientific notation
1.045013 × 10⁶
As a duration
1,045,013 s = 12 days, 2 hours, 16 minutes, 53 seconds
In other bases
ternary (3) 1222002111012
quaternary (4) 3333020111
quinary (5) 231420023
senary (6) 34222005
septenary (7) 11611454
nonary (9) 1862435
undecimal (11) 654152
duodecimal (12) 424905
tridecimal (13) 2a7868
tetradecimal (14) 1d2b9b
pentadecimal (15) 159978

As an angle

1,045,013° = 2,902 × 360° + 293°
293° ≈ 5.114 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺
Chinese
一百零四萬五千零一十三
Chinese (financial)
壹佰零肆萬伍仟零壹拾參
In other modern scripts
Eastern Arabic ١٠٤٥٠١٣ Devanagari १०४५०१३ Bengali ১০৪৫০১৩ Tamil ௧௦௪௫௦௧௩ Thai ๑๐๔๕๐๑๓ Tibetan ༡༠༤༥༠༡༣ Khmer ១០៤៥០១៣ Lao ໑໐໔໕໐໑໓ Burmese ၁၀၄၅၀၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0FF215
RGB(15, 242, 21)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.242.21.

Address
0.15.242.21
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.242.21

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 4, 5013 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 5013-04-01 (DMMYYYY (Euro, single-digit day))
  • 5013-10-04 (MMDYYYY (US, single-digit day))
  • 5013-04-10 (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 1,045,013 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.