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1,013,009

1,013,009 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.).

1,013,009 (one million thirteen thousand nine) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF7511.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Sexy 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
9,003,101
Square (n²)
1,026,187,234,081
Cube (n³)
1,039,536,903,809,159,729
Divisor count
2
σ(n) — sum of divisors
1,013,010
φ(n) — Euler's totient
1,013,008

Primality

1,013,009 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1013009
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,013,009)
1 × 1013009
First multiples
1,013,009 · 2,026,018 (double) · 3,039,027 · 4,052,036 · 5,065,045 · 6,078,054 · 7,091,063 · 8,104,072 · 9,117,081 · 10,130,090

Sums & aliquot sequence

As a sum of two squares: 695² + 728²
As consecutive integers: 506,504 + 506,505

Continued fraction of √n

√1,013,009 = [1006; (2, 14, 1, 1, 1, 2, 1, 6, 2, 6, 6, 2, 2, 17, 1, 1, 3, 4, 7, 5, 1, 49, 2, 18, …)]

Representations

In words
one million thirteen thousand nine
Ordinal
1013009th
Binary
11110111010100010001
Octal
3672421
Hexadecimal
0xF7511
Base64
D3UR
One's complement
4,293,954,286 (32-bit)
Scientific notation
1.013009 × 10⁶
As a duration
1,013,009 s = 11 days, 17 hours, 23 minutes, 29 seconds
In other bases
ternary (3) 1220110120212
quaternary (4) 3313110101
quinary (5) 224404014
senary (6) 33413505
septenary (7) 11416244
nonary (9) 1813525
undecimal (11) 6320a8
duodecimal (12) 40a295
tridecimal (13) 29611a
tetradecimal (14) 1c525b
pentadecimal (15) 15023e

As an angle

1,013,009° = 2,813 × 360° + 329°
329° ≈ 5.742 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零一萬三千零九
Chinese (financial)
壹佰零壹萬參仟零玖
In other modern scripts
Eastern Arabic ١٠١٣٠٠٩ Devanagari १०१३००९ Bengali ১০১৩০০৯ Tamil ௧௦௧௩௦௦௯ Thai ๑๐๑๓๐๐๙ Tibetan ༡༠༡༣༠༠༩ Khmer ១០១៣០០៩ Lao ໑໐໑໓໐໐໙ Burmese ၁၀၁၃၀၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 1013003.

Hex color
#0F7511
RGB(15, 117, 17)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.117.17.

Address
0.15.117.17
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.117.17

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 1, 3009 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 3009-10-01 (MMDYYYY (US, single-digit day))
  • 3009-01-10 (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 1,013,009 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.