Live analysis

120,006

120,006 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.).

120,006 (one hundred twenty thousand six) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 59 × 113. Its proper divisors sum to 146,754, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D4C6.

Abundant Number Arithmetic Number Cube-Free Harshad / Niven Odious Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

119,994 119,995 119,996 119,997 119,998 119,999 120,000 120,001 120,002 120,003 120,004 120,005 120,006 120,007 120,008 120,009 120,010 120,011 120,012 120,013 120,014 120,015 120,016 120,017 120,018

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 17 bits
Reversed: 600,021
Recamán's sequence: a(240,084) = 120,006
Square (n²): 14,401,440,036
Cube (n³): 1,728,259,212,960,216
Divisor count: 24
σ(n) — sum of divisors: 266,760
φ(n) — Euler's totient: 38,976
Sum of prime factors: 180

Primality

Prime factorization: 2 × 3 ² × 59 × 113

Nearest primes: 119,993 (−13) · 120,011 (+5)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 6 · 9 · 18 · 59 · 113 · 118 · 177 · 226 · 339 · 354 · 531 · 678 · 1017 · 1062 · 2034 · 6667 · 13334 · 20001 · 40002 · 60003 (half) · 120006

Aliquot sum (sum of proper divisors): 146,754

Factor pairs (a × b = 120,006)

1 × 120006

2 × 60003

3 × 40002

6 × 20001

9 × 13334

18 × 6667

59 × 2034

113 × 1062

118 × 1017

177 × 678

226 × 531

339 × 354

First multiples

120,006 · 240,012 (double) · 360,018 · 480,024 · 600,030 · 720,036 · 840,042 · 960,048 · 1,080,054 · 1,200,060

Sums & aliquot sequence

As consecutive integers: 40,001 + 40,002 + 40,003 30,000 + 30,001 + 30,002 + 30,003 13,330 + 13,331 + … + 13,338 9,995 + 9,996 + … + 10,006

Aliquot sequence: 120,006 → 146,754 → 182,718 → 213,210 → 370,854 → 506,178 → 610,938 → 712,800 → 2,122,956 → 3,884,724 → 6,442,866 → 7,604,154 → 8,871,552 → 19,035,648 → 41,362,272 → 99,117,648 → 231,218,352 — unresolved within range

Continued fraction of √n

√120,006 = [346; (2, 2, 1, 1, 2, 1, 1, 1, 3, 2, 1, 2, 5, 1, 1, 4, 2, 3, 1, 4, 346, 4, 1, 3, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words: one hundred twenty thousand six
Ordinal: 120006th
Binary: 11101010011000110
Octal: 352306
Hexadecimal: 0x1D4C6
Base64: AdTG
One's complement: 4,294,847,289 (32-bit)
Scientific notation: 1.20006 × 10⁵
As a duration: 120,006 s = 1 day, 9 hours, 20 minutes, 6 seconds

In other bases

ternary (3) 20002121200

quaternary (4) 131103012

quinary (5) 12320011

senary (6) 2323330

septenary (7) 1006605

nonary (9) 202550

undecimal (11) 82187

duodecimal (12) 59546

tridecimal (13) 42813

tetradecimal (14) 31a3c

pentadecimal (15) 25856

As an angle

120,006° = 333 × 360° + 126°

126° ≈ 2.199 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρκϛʹ
Mayan (base 20): 𝋯·𝋠·𝋠·𝋦
Chinese: 一十二萬零六
Chinese (financial): 壹拾貳萬零陸

In other modern scripts

Eastern Arabic ١٢٠٠٠٦ Devanagari १२०००६ Bengali ১২০০০৬ Tamil ௧௨௦௦௦௬ Thai ๑๒๐๐๐๖ Tibetan ༡༢༠༠༠༦ Khmer ១២០០០៦ Lao ໑໒໐໐໐໖ Burmese ၁၂၀၀၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120006, here are decompositions:

13 + 119993 = 120006
23 + 119983 = 120006
43 + 119963 = 120006
53 + 119953 = 120006
83 + 119923 = 120006
137 + 119869 = 120006
157 + 119849 = 120006
167 + 119839 = 120006

Showing the first eight; more decompositions exist.

Unicode codepoint

𝓆

Mathematical Script Small Q

U+1D4C6

Lowercase letter (Ll)

UTF-8 encoding: F0 9D 93 86 (4 bytes).

Lookup U+1D4C6 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#01D4C6

RGB(1, 212, 198)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.212.198.

Address: 0.1.212.198
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.212.198

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 120,006 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 US120,006 on Google Patents ↗ Look up on USPTO ↗