Live analysis

108,080

108,080 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.).

108,080 (one hundred eight thousand eighty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 7 × 193. Its proper divisors sum to 180,592, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A630.

Abundant Number Flippable Gapful Number Happy Number Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

108,068 108,069 108,070 108,071 108,072 108,073 108,074 108,075 108,076 108,077 108,078 108,079 108,080 108,081 108,082 108,083 108,084 108,085 108,086 108,087 108,088 108,089 108,090 108,091 108,092

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 17 bits
Reversed: 80,801
Flips to (rotate 180°): 80,801
Recamán's sequence: a(251,272) = 108,080
Square (n²): 11,681,286,400
Cube (n³): 1,262,513,434,112,000
Divisor count: 40
σ(n) — sum of divisors: 288,672
φ(n) — Euler's totient: 36,864
Sum of prime factors: 213

Primality

Prime factorization: 2 ⁴ × 5 × 7 × 193

Nearest primes: 108,079 (−1) · 108,089 (+9)

Divisors & multiples

All divisors (40)

1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 16 · 20 · 28 · 35 · 40 · 56 · 70 · 80 · 112 · 140 · 193 · 280 · 386 · 560 · 772 · 965 · 1351 · 1544 · 1930 · 2702 · 3088 · 3860 · 5404 · 6755 · 7720 · 10808 · 13510 · 15440 · 21616 · 27020 · 54040 (half) · 108080

Aliquot sum (sum of proper divisors): 180,592

Factor pairs (a × b = 108,080)

1 × 108080

2 × 54040

4 × 27020

5 × 21616

7 × 15440

8 × 13510

10 × 10808

14 × 7720

16 × 6755

20 × 5404

28 × 3860

35 × 3088

40 × 2702

56 × 1930

70 × 1544

80 × 1351

112 × 965

140 × 772

193 × 560

280 × 386

First multiples

108,080 · 216,160 (double) · 324,240 · 432,320 · 540,400 · 648,480 · 756,560 · 864,640 · 972,720 · 1,080,800

Sums & aliquot sequence

As consecutive integers: 21,614 + 21,615 + 21,616 + 21,617 + 21,618 15,437 + 15,438 + … + 15,443 3,362 + 3,363 + … + 3,393 3,071 + 3,072 + … + 3,105

Aliquot sequence: 108,080 → 180,592 → 169,336 → 154,304 → 152,020 → 196,748 → 151,684 → 134,280 → 303,300 → 650,198 → 345,994 → 220,214 → 113,626 → 56,816 → 57,016 → 49,904 → 46,816 — unresolved within range

Continued fraction of √n

√108,080 = [328; (1, 3, 11, 1, 2, 2, 1, 1, 2, 5, 21, 41, 21, 5, 2, 1, 1, 2, 2, 1, 11, 3, 1, 656)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words: one hundred eight thousand eighty
Ordinal: 108080th
Binary: 11010011000110000
Octal: 323060
Hexadecimal: 0x1A630
Base64: AaYw
One's complement: 4,294,859,215 (32-bit)
Scientific notation: 1.0808 × 10⁵
As a duration: 108,080 s = 1 day, 6 hours, 1 minute, 20 seconds

In other bases

ternary (3) 12111020222

quaternary (4) 122120300

quinary (5) 11424310

senary (6) 2152212

septenary (7) 630050

nonary (9) 174228

undecimal (11) 74225

duodecimal (12) 52668

tridecimal (13) 3a26b

tetradecimal (14) 2b560

pentadecimal (15) 22055

As an angle

108,080° = 300 × 360° + 80°

80° ≈ 1.396 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋 𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ρηπʹ
Mayan (base 20): 𝋭·𝋪·𝋤·𝋠
Chinese: 十萬八千零八十
Chinese (financial): 壹拾萬捌仟零捌拾

In other modern scripts

Eastern Arabic ١٠٨٠٨٠ Devanagari १०८०८० Bengali ১০৮০৮০ Tamil ௧௦௮௦௮௦ Thai ๑๐๘๐๘๐ Tibetan ༡༠༨༠༨༠ Khmer ១០៨០៨០ Lao ໑໐໘໐໘໐ Burmese ၁၀၈၀၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 108080, here are decompositions:

19 + 108061 = 108080
43 + 108037 = 108080
67 + 108013 = 108080
73 + 108007 = 108080
109 + 107971 = 108080
139 + 107941 = 108080
157 + 107923 = 108080
199 + 107881 = 108080

Showing the first eight; more decompositions exist.

Hex color

#01A630

RGB(1, 166, 48)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.166.48.

Address: 0.1.166.48
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.166.48

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 108,080 and was likely granted around 1870.

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

Look up US108,080 on Google Patents ↗ Look up on USPTO ↗