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104,009

104,009 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.).

104,009 (one hundred four thousand nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x19649.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
900,401
Recamán's sequence
a(94,085) = 104,009
Square (n²)
10,817,872,081
Cube (n³)
1,125,156,057,272,729
Divisor count
2
σ(n) — sum of divisors
104,010
φ(n) — Euler's totient
104,008

Primality

104,009 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 104009
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 104,009)
1 × 104009
First multiples
104,009 · 208,018 (double) · 312,027 · 416,036 · 520,045 · 624,054 · 728,063 · 832,072 · 936,081 · 1,040,090

Sums & aliquot sequence

As a sum of two squares: 200² + 253²
As consecutive integers: 52,004 + 52,005

Continued fraction of √n

√104,009 = [322; (1, 1, 58, 7, 3, 5, 80, 2, 3, 1, 1, 6, 1, 3, 3, 2, 2, 5, 1, 39, 2, 7, 1, 1, …)]

Representations

In words
one hundred four thousand nine
Ordinal
104009th
Binary
11001011001001001
Octal
313111
Hexadecimal
0x19649
Base64
AZZJ
One's complement
4,294,863,286 (32-bit)
Scientific notation
1.04009 × 10⁵
As a duration
104,009 s = 1 day, 4 hours, 53 minutes, 29 seconds
In other bases
ternary (3) 12021200012
quaternary (4) 121121021
quinary (5) 11312014
senary (6) 2121305
septenary (7) 612143
nonary (9) 167605
undecimal (11) 71164
duodecimal (12) 50235
tridecimal (13) 38459
tetradecimal (14) 29c93
pentadecimal (15) 20c3e

As an angle

104,009° = 288 × 360° + 329°
329° ≈ 5.742 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρδθʹ
Mayan (base 20)
𝋭·𝋠·𝋠·𝋩
Chinese
一十萬四千零九
Chinese (financial)
壹拾萬肆仟零玖
In other modern scripts
Eastern Arabic ١٠٤٠٠٩ Devanagari १०४००९ Bengali ১০৪০০৯ Tamil ௧௦௪௦௦௯ Thai ๑๐๔๐๐๙ Tibetan ༡༠༤༠༠༩ Khmer ១០៤០០៩ Lao ໑໐໔໐໐໙ Burmese ၁၀၄၀၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 104003.

Hex color
#019649
RGB(1, 150, 73)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.150.73.

Address
0.1.150.73
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.150.73

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

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 104,009 and was likely granted around 1870.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 104009 first appears in π at position 73,958 of the decimal expansion (the 73,958ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.