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103,304

103,304 is a composite number, even.

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.).

103,304 (one hundred three thousand three hundred four) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 37 × 349. Written other ways, in hexadecimal, 0x19388.

Deficient Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
403,301
Recamán's sequence
a(96,027) = 103,304
Square (n²)
10,671,716,416
Cube (n³)
1,102,430,992,638,464
Divisor count
16
σ(n) — sum of divisors
199,500
φ(n) — Euler's totient
50,112
Sum of prime factors
392

Primality

Prime factorization: 2 3 × 37 × 349

Nearest primes: 103,291 (−13) · 103,307 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 37 · 74 · 148 · 296 · 349 · 698 · 1396 · 2792 · 12913 · 25826 · 51652 (half) · 103304
Aliquot sum (sum of proper divisors): 96,196
Factor pairs (a × b = 103,304)
1 × 103304
2 × 51652
4 × 25826
8 × 12913
37 × 2792
74 × 1396
148 × 698
296 × 349
First multiples
103,304 · 206,608 (double) · 309,912 · 413,216 · 516,520 · 619,824 · 723,128 · 826,432 · 929,736 · 1,033,040

Sums & aliquot sequence

As a sum of two squares: 110² + 302² = 202² + 250²
As a sum of two cubes: 34³ + 40³
As consecutive integers: 6,449 + 6,450 + … + 6,464 2,774 + 2,775 + … + 2,810 122 + 123 + … + 470
Aliquot sequence: 103,304 96,196 72,154 38,726 23,902 17,138 13,102 6,554 3,706 2,234 1,120 1,904 2,560 3,578 1,792 2,296 2,744 — unresolved within range

Continued fraction of √n

√103,304 = [321; (2, 2, 3, 1, 5, 1, 159, 1, 5, 1, 3, 2, 2, 642)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
one hundred three thousand three hundred four
Ordinal
103304th
Binary
11001001110001000
Octal
311610
Hexadecimal
0x19388
Base64
AZOI
One's complement
4,294,863,991 (32-bit)
Scientific notation
1.03304 × 10⁵
As a duration
103,304 s = 1 day, 4 hours, 41 minutes, 44 seconds
In other bases
ternary (3) 12020201002
quaternary (4) 121032020
quinary (5) 11301204
senary (6) 2114132
septenary (7) 610115
nonary (9) 166632
undecimal (11) 70683
duodecimal (12) 4b948
tridecimal (13) 38036
tetradecimal (14) 2990c
pentadecimal (15) 2091e

As an angle

103,304° = 286 × 360° + 344°
344° ≈ 6.004 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ργτδʹ
Mayan (base 20)
𝋬·𝋲·𝋥·𝋤
Chinese
一十萬三千三百零四
Chinese (financial)
壹拾萬參仟參佰零肆
In other modern scripts
Eastern Arabic ١٠٣٣٠٤ Devanagari १०३३०४ Bengali ১০৩৩০৪ Tamil ௧௦௩௩௦௪ Thai ๑๐๓๓๐๔ Tibetan ༡༠༣༣༠༤ Khmer ១០៣៣០៤ Lao ໑໐໓໓໐໔ Burmese ၁၀၃၃၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 103304, here are decompositions:

  • 13 + 103291 = 103304
  • 67 + 103237 = 103304
  • 73 + 103231 = 103304
  • 127 + 103177 = 103304
  • 163 + 103141 = 103304
  • 181 + 103123 = 103304
  • 211 + 103093 = 103304
  • 337 + 102967 = 103304

Showing the first eight; more decompositions exist.

Hex color
#019388
RGB(1, 147, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.147.136.

Address
0.1.147.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.147.136

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 103,304 and was likely granted around 1870.

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

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.