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1,036,001

1,036,001 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.).

1,036,001 (one million thirty-six thousand one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xFCEE1.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Sophie Germain Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
1,006,301
Square (n²)
1,073,298,072,001
Cube (n³)
1,111,937,875,891,108,001
Divisor count
2
σ(n) — sum of divisors
1,036,002
φ(n) — Euler's totient
1,036,000

Primality

1,036,001 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1036001
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,036,001)
1 × 1036001
First multiples
1,036,001 · 2,072,002 (double) · 3,108,003 · 4,144,004 · 5,180,005 · 6,216,006 · 7,252,007 · 8,288,008 · 9,324,009 · 10,360,010

Sums & aliquot sequence

As a sum of two squares: 76² + 1,015²
As consecutive integers: 518,000 + 518,001

Continued fraction of √n

√1,036,001 = [1017; (1, 5, 3, 3, 3, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 11, 3, 1, 118, 1, 106, 6, 1, …)]

Representations

In words
one million thirty-six thousand one
Ordinal
1036001st
Binary
11111100111011100001
Octal
3747341
Hexadecimal
0xFCEE1
Base64
D87h
One's complement
4,293,931,294 (32-bit)
Scientific notation
1.036001 × 10⁶
As a duration
1,036,001 s = 11 days, 23 hours, 46 minutes, 41 seconds
In other bases
ternary (3) 1221122010102
quaternary (4) 3330323201
quinary (5) 231123001
senary (6) 34112145
septenary (7) 11543261
nonary (9) 1848112
undecimal (11) 6483aa
duodecimal (12) 41b655
tridecimal (13) 2a3725
tetradecimal (14) 1cd7a1
pentadecimal (15) 156e6b

As an angle

1,036,001° = 2,877 × 360° + 281°
281° ≈ 4.904 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓏺
Chinese
一百零三萬六千零一
Chinese (financial)
壹佰零參萬陸仟零壹
In other modern scripts
Eastern Arabic ١٠٣٦٠٠١ Devanagari १०३६००१ Bengali ১০৩৬০০১ Tamil ௧௦௩௬௦௦௧ Thai ๑๐๓๖๐๐๑ Tibetan ༡༠༣༦༠༠༡ Khmer ១០៣៦០០១ Lao ໑໐໓໖໐໐໑ Burmese ၁၀၃၆၀၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 1036003.

Hex color
#0FCEE1
RGB(15, 206, 225)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.206.225.

Address
0.15.206.225
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.206.225

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 3, 6001 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 6001-03-01 (DMMYYYY (Euro, single-digit day))
  • 6001-10-03 (MMDYYYY (US, single-digit day))
  • 6001-03-10 (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 1,036,001 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.