Live analysis

108,342

108,342 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.).

108,342 (one hundred eight thousand three hundred forty-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 13 × 463. Its proper divisors sum to 145,002, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A736.

Abundant Number Arithmetic Number Cube-Free Evil Number Happy Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

108,330 108,331 108,332 108,333 108,334 108,335 108,336 108,337 108,338 108,339 108,340 108,341 108,342 108,343 108,344 108,345 108,346 108,347 108,348 108,349 108,350 108,351 108,352 108,353 108,354

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 17 bits
Reversed: 243,801
Recamán's sequence: a(250,748) = 108,342
Square (n²): 11,737,988,964
Cube (n³): 1,271,717,200,337,688
Divisor count: 24
σ(n) — sum of divisors: 253,344
φ(n) — Euler's totient: 33,264
Sum of prime factors: 484

Primality

Prime factorization: 2 × 3 ² × 13 × 463

Nearest primes: 108,301 (−41) · 108,343 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 6 · 9 · 13 · 18 · 26 · 39 · 78 · 117 · 234 · 463 · 926 · 1389 · 2778 · 4167 · 6019 · 8334 · 12038 · 18057 · 36114 · 54171 (half) · 108342

Aliquot sum (sum of proper divisors): 145,002

Factor pairs (a × b = 108,342)

1 × 108342

2 × 54171

3 × 36114

6 × 18057

9 × 12038

13 × 8334

18 × 6019

26 × 4167

39 × 2778

78 × 1389

117 × 926

234 × 463

First multiples

108,342 · 216,684 (double) · 325,026 · 433,368 · 541,710 · 650,052 · 758,394 · 866,736 · 975,078 · 1,083,420

Sums & aliquot sequence

As consecutive integers: 36,113 + 36,114 + 36,115 27,084 + 27,085 + 27,086 + 27,087 12,034 + 12,035 + … + 12,042 9,023 + 9,024 + … + 9,034

Aliquot sequence: 108,342 → 145,002 → 197,718 → 210,858 → 215,958 → 215,970 → 326,622 → 326,634 → 510,582 → 534,858 → 547,062 → 562,938 → 629,382 → 726,378 → 726,390 → 1,433,898 → 1,758,330 — unresolved within range

Continued fraction of √n

√108,342 = [329; (6, 1, 1, 14, 1, 3, 2, 1, 2, 1, 1, 1, 2, 1, 1, 4, 1, 6, 5, 2, 11, 1, 27, 1, …)]

Representations

In words: one hundred eight thousand three hundred forty-two
Ordinal: 108342nd
Binary: 11010011100110110
Octal: 323466
Hexadecimal: 0x1A736
Base64: Aac2
One's complement: 4,294,858,953 (32-bit)
Scientific notation: 1.08342 × 10⁵
As a duration: 108,342 s = 1 day, 6 hours, 5 minutes, 42 seconds

In other bases

ternary (3) 12111121200

quaternary (4) 122130312

quinary (5) 11431332

senary (6) 2153330

septenary (7) 630603

nonary (9) 174550

undecimal (11) 74443

duodecimal (12) 52846

tridecimal (13) 3a410

tetradecimal (14) 2b6aa

pentadecimal (15) 2217c

As an angle

108,342° = 300 × 360° + 342°

342° ≈ 5.969 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ρητμβʹ
Mayan (base 20): 𝋭·𝋪·𝋱·𝋢
Chinese: 十萬八千三百四十二
Chinese (financial): 壹拾萬捌仟參佰肆拾貳

In other modern scripts

Eastern Arabic ١٠٨٣٤٢ Devanagari १०८३४२ Bengali ১০৮৩৪২ Tamil ௧௦௮௩௪௨ Thai ๑๐๘๓๔๒ Tibetan ༡༠༨༣༤༢ Khmer ១០៨៣៤២ Lao ໑໐໘໓໔໒ Burmese ၁၀၈၃၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 108342, here are decompositions:

41 + 108301 = 108342
53 + 108289 = 108342
71 + 108271 = 108342
79 + 108263 = 108342
109 + 108233 = 108342
131 + 108211 = 108342
139 + 108203 = 108342
149 + 108193 = 108342

Showing the first eight; more decompositions exist.

Hex color

#01A736

RGB(1, 167, 54)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.167.54.

Address: 0.1.167.54
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.167.54

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 108,342 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 US108,342 on Google Patents ↗ Look up on USPTO ↗