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104,144

104,144 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.).

104,144 (one hundred four thousand one hundred forty-four) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 23 × 283. Its proper divisors sum to 107,152, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x196D0.

Abundant Number Evil Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
441,401
Recamán's sequence
a(93,815) = 104,144
Square (n²)
10,845,972,736
Cube (n³)
1,129,542,984,617,984
Divisor count
20
σ(n) — sum of divisors
211,296
φ(n) — Euler's totient
49,632
Sum of prime factors
314

Primality

Prime factorization: 2 4 × 23 × 283

Nearest primes: 104,123 (−21) · 104,147 (+3)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 23 · 46 · 92 · 184 · 283 · 368 · 566 · 1132 · 2264 · 4528 · 6509 · 13018 · 26036 · 52072 (half) · 104144
Aliquot sum (sum of proper divisors): 107,152
Factor pairs (a × b = 104,144)
1 × 104144
2 × 52072
4 × 26036
8 × 13018
16 × 6509
23 × 4528
46 × 2264
92 × 1132
184 × 566
283 × 368
First multiples
104,144 · 208,288 (double) · 312,432 · 416,576 · 520,720 · 624,864 · 729,008 · 833,152 · 937,296 · 1,041,440

Sums & aliquot sequence

As consecutive integers: 4,517 + 4,518 + … + 4,539 3,239 + 3,240 + … + 3,270 227 + 228 + … + 509
Aliquot sequence: 104,144 107,152 107,244 173,960 217,540 248,660 273,568 276,800 408,238 240,194 120,100 140,734 89,594 44,800 81,928 123,272 120,328 — unresolved within range

Continued fraction of √n

√104,144 = [322; (1, 2, 2, 25, 2, 1, 1, 2, 1, 8, 8, 2, 1, 1, 1, 4, 1, 14, 1, 11, 2, 9, 1, 1, …)]

Representations

In words
one hundred four thousand one hundred forty-four
Ordinal
104144th
Binary
11001011011010000
Octal
313320
Hexadecimal
0x196D0
Base64
AZbQ
One's complement
4,294,863,151 (32-bit)
Scientific notation
1.04144 × 10⁵
As a duration
104,144 s = 1 day, 4 hours, 55 minutes, 44 seconds
In other bases
ternary (3) 12021212012
quaternary (4) 121123100
quinary (5) 11313034
senary (6) 2122052
septenary (7) 612425
nonary (9) 167765
undecimal (11) 71277
duodecimal (12) 50328
tridecimal (13) 38531
tetradecimal (14) 29d4c
pentadecimal (15) 20cce

As an angle

104,144° = 289 × 360° + 104°
104° ≈ 1.815 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρδρμδʹ
Mayan (base 20)
𝋭·𝋠·𝋧·𝋤
Chinese
一十萬四千一百四十四
Chinese (financial)
壹拾萬肆仟壹佰肆拾肆
In other modern scripts
Eastern Arabic ١٠٤١٤٤ Devanagari १०४१४४ Bengali ১০৪১৪৪ Tamil ௧௦௪௧௪௪ Thai ๑๐๔๑๔๔ Tibetan ༡༠༤༡༤༤ Khmer ១០៤១៤៤ Lao ໑໐໔໑໔໔ Burmese ၁၀၄၁၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104144, here are decompositions:

  • 31 + 104113 = 104144
  • 37 + 104107 = 104144
  • 97 + 104047 = 104144
  • 151 + 103993 = 104144
  • 163 + 103981 = 104144
  • 181 + 103963 = 104144
  • 193 + 103951 = 104144
  • 241 + 103903 = 104144

Showing the first eight; more decompositions exist.

Hex color
#0196D0
RGB(1, 150, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.150.208.

Address
0.1.150.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.150.208

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 104,144 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.