Live analysis

120,018

120,018 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.).

120,018 (one hundred twenty thousand eighteen) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 83 × 241. Its proper divisors sum to 123,918, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D4D2.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

120,006 120,007 120,008 120,009 120,010 120,011 120,012 120,013 120,014 120,015 120,016 120,017 120,018 120,019 120,020 120,021 120,022 120,023 120,024 120,025 120,026 120,027 120,028 120,029 120,030

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 17 bits
Reversed: 810,021
Recamán's sequence: a(240,060) = 120,018
Square (n²): 14,404,320,324
Cube (n³): 1,728,777,716,645,832
Divisor count: 16
σ(n) — sum of divisors: 243,936
φ(n) — Euler's totient: 39,360
Sum of prime factors: 329

Primality

Prime factorization: 2 × 3 × 83 × 241

Nearest primes: 120,017 (−1) · 120,041 (+23)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 83 · 166 · 241 · 249 · 482 · 498 · 723 · 1446 · 20003 · 40006 · 60009 (half) · 120018

Aliquot sum (sum of proper divisors): 123,918

Factor pairs (a × b = 120,018)

1 × 120018

2 × 60009

3 × 40006

6 × 20003

83 × 1446

166 × 723

241 × 498

249 × 482

First multiples

120,018 · 240,036 (double) · 360,054 · 480,072 · 600,090 · 720,108 · 840,126 · 960,144 · 1,080,162 · 1,200,180

Sums & aliquot sequence

As consecutive integers: 40,005 + 40,006 + 40,007 30,003 + 30,004 + 30,005 + 30,006 9,996 + 9,997 + … + 10,007 1,405 + 1,406 + … + 1,487

Aliquot sequence: 120,018 → 123,918 → 137,202 → 158,478 → 164,418 → 170,142 → 218,850 → 324,270 → 541,170 → 1,068,750 → 1,977,930 → 3,164,922 → 3,692,448 → 6,808,770 → 10,894,266 → 12,710,016 → 30,252,384 — unresolved within range

Continued fraction of √n

√120,018 = [346; (2, 3, 2, 2, 2, 3, 2, 692)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: one hundred twenty thousand eighteen
Ordinal: 120018th
Binary: 11101010011010010
Octal: 352322
Hexadecimal: 0x1D4D2
Base64: AdTS
One's complement: 4,294,847,277 (32-bit)
Scientific notation: 1.20018 × 10⁵
As a duration: 120,018 s = 1 day, 9 hours, 20 minutes, 18 seconds

In other bases

ternary (3) 20002122010

quaternary (4) 131103102

quinary (5) 12320033

senary (6) 2323350

septenary (7) 1006623

nonary (9) 202563

undecimal (11) 82198

duodecimal (12) 59556

tridecimal (13) 42822

tetradecimal (14) 31a4a

pentadecimal (15) 25863

As an angle

120,018° = 333 × 360° + 138°

138° ≈ 2.409 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρκιηʹ
Mayan (base 20): 𝋯·𝋠·𝋠·𝋲
Chinese: 一十二萬零一十八
Chinese (financial): 壹拾貳萬零壹拾捌

In other modern scripts

Eastern Arabic ١٢٠٠١٨ Devanagari १२००१८ Bengali ১২০০১৮ Tamil ௧௨௦௦௧௮ Thai ๑๒๐๐๑๘ Tibetan ༡༢༠༠༡༨ Khmer ១២០០១៨ Lao ໑໒໐໐໑໘ Burmese ၁၂၀၀၁၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120018, here are decompositions:

7 + 120011 = 120018
37 + 119981 = 120018
47 + 119971 = 120018
89 + 119929 = 120018
97 + 119921 = 120018
127 + 119891 = 120018
137 + 119881 = 120018
149 + 119869 = 120018

Showing the first eight; more decompositions exist.

Unicode codepoint

𝓒

Mathematical Bold Script Capital C

U+1D4D2

Uppercase letter (Lu)

UTF-8 encoding: F0 9D 93 92 (4 bytes).

Lookup U+1D4D2 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#01D4D2

RGB(1, 212, 210)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.212.210.

Address: 0.1.212.210
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.212.210

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 120,018 and was likely granted around 1871.

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

Look up US120,018 on Google Patents ↗ Look up on USPTO ↗