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103,730

103,730 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.).

103,730 (one hundred three thousand seven hundred thirty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 5 × 11 × 23 × 41. Its proper divisors sum to 113,998, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19532.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Happy Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
37,301
Recamán's sequence
a(94,939) = 103,730
Square (n²)
10,759,912,900
Cube (n³)
1,116,125,765,117,000
Divisor count
32
σ(n) — sum of divisors
217,728
φ(n) — Euler's totient
35,200
Sum of prime factors
82

Primality

Prime factorization: 2 × 5 × 11 × 23 × 41

Nearest primes: 103,723 (−7) · 103,769 (+39)

Divisors & multiples

All divisors (32)
1 · 2 · 5 · 10 · 11 · 22 · 23 · 41 · 46 · 55 · 82 · 110 · 115 · 205 · 230 · 253 · 410 · 451 · 506 · 902 · 943 · 1265 · 1886 · 2255 · 2530 · 4510 · 4715 · 9430 · 10373 · 20746 · 51865 (half) · 103730
Aliquot sum (sum of proper divisors): 113,998
Factor pairs (a × b = 103,730)
1 × 103730
2 × 51865
5 × 20746
10 × 10373
11 × 9430
22 × 4715
23 × 4510
41 × 2530
46 × 2255
55 × 1886
82 × 1265
110 × 943
115 × 902
205 × 506
230 × 451
253 × 410
First multiples
103,730 · 207,460 (double) · 311,190 · 414,920 · 518,650 · 622,380 · 726,110 · 829,840 · 933,570 · 1,037,300

Sums & aliquot sequence

As consecutive integers: 25,931 + 25,932 + 25,933 + 25,934 20,744 + 20,745 + 20,746 + 20,747 + 20,748 9,425 + 9,426 + … + 9,435 5,177 + 5,178 + … + 5,196
Aliquot sequence: 103,730 113,998 57,002 36,310 29,066 14,536 14,264 12,496 14,288 15,472 14,536 — enters a cycle

Continued fraction of √n

√103,730 = [322; (14, 644)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one hundred three thousand seven hundred thirty
Ordinal
103730th
Binary
11001010100110010
Octal
312462
Hexadecimal
0x19532
Base64
AZUy
One's complement
4,294,863,565 (32-bit)
Scientific notation
1.0373 × 10⁵
As a duration
103,730 s = 1 day, 4 hours, 48 minutes, 50 seconds
In other bases
ternary (3) 12021021212
quaternary (4) 121110302
quinary (5) 11304410
senary (6) 2120122
septenary (7) 611264
nonary (9) 167255
undecimal (11) 70a30
duodecimal (12) 50042
tridecimal (13) 382a3
tetradecimal (14) 29b34
pentadecimal (15) 20b05

As an angle

103,730° = 288 × 360° + 50°
50° ≈ 0.873 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆
Greek (Milesian)
͵ργψλʹ
Mayan (base 20)
𝋬·𝋳·𝋦·𝋪
Chinese
一十萬三千七百三十
Chinese (financial)
壹拾萬參仟柒佰參拾
In other modern scripts
Eastern Arabic ١٠٣٧٣٠ Devanagari १०३७३० Bengali ১০৩৭৩০ Tamil ௧௦௩௭௩௦ Thai ๑๐๓๗๓๐ Tibetan ༡༠༣༧༣༠ Khmer ១០៣៧៣០ Lao ໑໐໓໗໓໐ Burmese ၁၀၃၇၃၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 103730, here are decompositions:

  • 7 + 103723 = 103730
  • 31 + 103699 = 103730
  • 43 + 103687 = 103730
  • 61 + 103669 = 103730
  • 73 + 103657 = 103730
  • 79 + 103651 = 103730
  • 139 + 103591 = 103730
  • 157 + 103573 = 103730

Showing the first eight; more decompositions exist.

Hex color
#019532
RGB(1, 149, 50)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.149.50.

Address
0.1.149.50
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.149.50

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 103,730 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.