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103,748

103,748 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.).

103,748 (one hundred three thousand seven hundred forty-eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 37 × 701. Written other ways, in hexadecimal, 0x19544.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
847,301
Recamán's sequence
a(94,903) = 103,748
Square (n²)
10,763,647,504
Cube (n³)
1,116,706,901,244,992
Divisor count
12
σ(n) — sum of divisors
186,732
φ(n) — Euler's totient
50,400
Sum of prime factors
742

Primality

Prime factorization: 2 2 × 37 × 701

Nearest primes: 103,723 (−25) · 103,769 (+21)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 37 · 74 · 148 · 701 · 1402 · 2804 · 25937 · 51874 (half) · 103748
Aliquot sum (sum of proper divisors): 82,984
Factor pairs (a × b = 103,748)
1 × 103748
2 × 51874
4 × 25937
37 × 2804
74 × 1402
148 × 701
First multiples
103,748 · 207,496 (double) · 311,244 · 414,992 · 518,740 · 622,488 · 726,236 · 829,984 · 933,732 · 1,037,480

Sums & aliquot sequence

As a sum of two squares: 8² + 322² = 112² + 302²
As consecutive integers: 12,965 + 12,966 + … + 12,972 2,786 + 2,787 + … + 2,822 203 + 204 + … + 498
Aliquot sequence: 103,748 82,984 98,456 92,584 84,536 73,984 82,893 27,635 5,533 515 109 1 0 — terminates at zero

Continued fraction of √n

√103,748 = [322; (10, 15, 1, 1, 1, 1, 2, 1, 2, 6, 91, 1, 6, 1, 3, 2, 1, 1, 4, 22, 1, 3, 1, 2, …)]

Representations

In words
one hundred three thousand seven hundred forty-eight
Ordinal
103748th
Binary
11001010101000100
Octal
312504
Hexadecimal
0x19544
Base64
AZVE
One's complement
4,294,863,547 (32-bit)
Scientific notation
1.03748 × 10⁵
As a duration
103,748 s = 1 day, 4 hours, 49 minutes, 8 seconds
In other bases
ternary (3) 12021022112
quaternary (4) 121111010
quinary (5) 11304443
senary (6) 2120152
septenary (7) 611321
nonary (9) 167275
undecimal (11) 70a47
duodecimal (12) 50058
tridecimal (13) 382b8
tetradecimal (14) 29b48
pentadecimal (15) 20b18

As an angle

103,748° = 288 × 360° + 68°
68° ≈ 1.187 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ργψμηʹ
Mayan (base 20)
𝋬·𝋳·𝋧·𝋨
Chinese
一十萬三千七百四十八
Chinese (financial)
壹拾萬參仟柒佰肆拾捌
In other modern scripts
Eastern Arabic ١٠٣٧٤٨ Devanagari १०३७४८ Bengali ১০৩৭৪৮ Tamil ௧௦௩௭௪௮ Thai ๑๐๓๗๔๘ Tibetan ༡༠༣༧༤༨ Khmer ១០៣៧៤៨ Lao ໑໐໓໗໔໘ Burmese ၁၀၃၇၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 103748, here are decompositions:

  • 61 + 103687 = 103748
  • 67 + 103681 = 103748
  • 79 + 103669 = 103748
  • 97 + 103651 = 103748
  • 157 + 103591 = 103748
  • 181 + 103567 = 103748
  • 199 + 103549 = 103748
  • 277 + 103471 = 103748

Showing the first eight; more decompositions exist.

Hex color
#019544
RGB(1, 149, 68)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.149.68.

Address
0.1.149.68
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.149.68

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 103,748 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.