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1,013,813

1,013,813 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.).

1,013,813 (one million thirteen thousand eight hundred thirteen) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF7835.

Arithmetic Number Cube-Free Deficient Number Emirp Evil 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
3,183,101
Square (n²)
1,027,816,798,969
Cube (n³)
1,042,014,032,413,158,797
Divisor count
2
σ(n) — sum of divisors
1,013,814
φ(n) — Euler's totient
1,013,812

Primality

1,013,813 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1013813
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,013,813)
1 × 1013813
First multiples
1,013,813 · 2,027,626 (double) · 3,041,439 · 4,055,252 · 5,069,065 · 6,082,878 · 7,096,691 · 8,110,504 · 9,124,317 · 10,138,130

Sums & aliquot sequence

As a sum of two squares: 218² + 983²
As consecutive integers: 506,906 + 506,907

Continued fraction of √n

√1,013,813 = [1006; (1, 7, 1, 1, 6, 1, 64, 10, 1, 3, 18, 4, 1, 1, 3, 2, 2, 3, 1, 15, 2, 7, 33, 1, …)]

Representations

In words
one million thirteen thousand eight hundred thirteen
Ordinal
1013813th
Binary
11110111100000110101
Octal
3674065
Hexadecimal
0xF7835
Base64
D3g1
One's complement
4,293,953,482 (32-bit)
Scientific notation
1.013813 × 10⁶
As a duration
1,013,813 s = 11 days, 17 hours, 36 minutes, 53 seconds
In other bases
ternary (3) 1220111200122
quaternary (4) 3313200311
quinary (5) 224420223
senary (6) 33421325
septenary (7) 11421503
nonary (9) 1814618
undecimal (11) 632769
duodecimal (12) 40a845
tridecimal (13) 2965b8
tetradecimal (14) 1c5673
pentadecimal (15) 1505c8

As an angle

1,013,813° = 2,816 × 360° + 53°
53° ≈ 0.925 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Chinese
一百零一萬三千八百一十三
Chinese (financial)
壹佰零壹萬參仟捌佰壹拾參
In other modern scripts
Eastern Arabic ١٠١٣٨١٣ Devanagari १०१३८१३ Bengali ১০১৩৮১৩ Tamil ௧௦௧௩௮௧௩ Thai ๑๐๑๓๘๑๓ Tibetan ༡༠༡༣༨༡༣ Khmer ១០១៣៨១៣ Lao ໑໐໑໓໘໑໓ Burmese ၁၀၁၃၈၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 1013819.

Hex color
#0F7835
RGB(15, 120, 53)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.120.53.

Address
0.15.120.53
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.120.53

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 1, 3813 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 3813-10-01 (MMDYYYY (US, single-digit day))
  • 3813-01-10 (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 1,013,813 and was likely granted around 1911.

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.