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1,013,827

1,013,827 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.).

1,013,827 (one million thirteen thousand eight hundred twenty-seven) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF7843.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
7,283,101
Square (n²)
1,027,845,185,929
Cube (n³)
1,042,057,201,314,840,283
Divisor count
2
σ(n) — sum of divisors
1,013,828
φ(n) — Euler's totient
1,013,826

Primality

1,013,827 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1013827
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,013,827)
1 × 1013827
First multiples
1,013,827 · 2,027,654 (double) · 3,041,481 · 4,055,308 · 5,069,135 · 6,082,962 · 7,096,789 · 8,110,616 · 9,124,443 · 10,138,270

Sums & aliquot sequence

As consecutive integers: 506,913 + 506,914

Continued fraction of √n

√1,013,827 = [1006; (1, 8, 13, 1, 33, 1, 3, 1, 3, 1, 2, 1, 19, 1, 1, 1, 1, 7, 2, 16, 1, 2, 1, 7, …)]

Representations

In words
one million thirteen thousand eight hundred twenty-seven
Ordinal
1013827th
Binary
11110111100001000011
Octal
3674103
Hexadecimal
0xF7843
Base64
D3hD
One's complement
4,293,953,468 (32-bit)
Scientific notation
1.013827 × 10⁶
As a duration
1,013,827 s = 11 days, 17 hours, 37 minutes, 7 seconds
In other bases
ternary (3) 1220111201011
quaternary (4) 3313201003
quinary (5) 224420302
senary (6) 33421351
septenary (7) 11421523
nonary (9) 1814634
undecimal (11) 632781
duodecimal (12) 40a857
tridecimal (13) 2965c9
tetradecimal (14) 1c5683
pentadecimal (15) 1505d7

As an angle

1,013,827° = 2,816 × 360° + 67°
67° ≈ 1.169 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零一萬三千八百二十七
Chinese (financial)
壹佰零壹萬參仟捌佰貳拾柒
In other modern scripts
Eastern Arabic ١٠١٣٨٢٧ Devanagari १०१३८२७ Bengali ১০১৩৮২৭ Tamil ௧௦௧௩௮௨௭ Thai ๑๐๑๓๘๒๗ Tibetan ༡༠༡༣༨༢༧ Khmer ១០១៣៨២៧ Lao ໑໐໑໓໘໒໗ Burmese ၁၀၁၃၈၂၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 1013833.

Hex color
#0F7843
RGB(15, 120, 67)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.120.67.

Address
0.15.120.67
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.120.67

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 3827 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 3827-10-01 (MMDYYYY (US, single-digit day))
  • 3827-01-10 (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 1,013,827 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.