Live analysis

120,008

120,008 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.).

120,008 (one hundred twenty thousand eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 7 × 2,143. Its proper divisors sum to 137,272, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D4C8.

Abundant Number Arithmetic Number Evil Number Recamán's Sequence Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

119,996 119,997 119,998 119,999 120,000 120,001 120,002 120,003 120,004 120,005 120,006 120,007 120,008 120,009 120,010 120,011 120,012 120,013 120,014 120,015 120,016 120,017 120,018 120,019 120,020

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 17 bits
Reversed: 800,021
Recamán's sequence: a(240,080) = 120,008
Square (n²): 14,401,920,064
Cube (n³): 1,728,345,623,040,512
Divisor count: 16
σ(n) — sum of divisors: 257,280
φ(n) — Euler's totient: 51,408
Sum of prime factors: 2,156

Primality

Prime factorization: 2 ³ × 7 × 2143

Nearest primes: 119,993 (−15) · 120,011 (+3)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 7 · 8 · 14 · 28 · 56 · 2143 · 4286 · 8572 · 15001 · 17144 · 30002 · 60004 (half) · 120008

Aliquot sum (sum of proper divisors): 137,272

Factor pairs (a × b = 120,008)

1 × 120008

2 × 60004

4 × 30002

7 × 17144

8 × 15001

14 × 8572

28 × 4286

56 × 2143

First multiples

120,008 · 240,016 (double) · 360,024 · 480,032 · 600,040 · 720,048 · 840,056 · 960,064 · 1,080,072 · 1,200,080

Sums & aliquot sequence

As consecutive integers: 17,141 + 17,142 + … + 17,147 7,493 + 7,494 + … + 7,508 1,016 + 1,017 + … + 1,127

Aliquot sequence: 120,008 → 137,272 → 120,128 → 118,378 → 80,702 → 40,354 → 20,180 → 22,240 → 30,680 → 44,920 → 56,240 → 85,120 → 159,680 → 221,320 → 323,000 → 519,400 → 911,870 — unresolved within range

Continued fraction of √n

√120,008 = [346; (2, 2, 1, 2, 3, 1, 5, 1, 21, 2, 98, 2, 21, 1, 5, 1, 3, 2, 1, 2, 2, 692)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words: one hundred twenty thousand eight
Ordinal: 120008th
Binary: 11101010011001000
Octal: 352310
Hexadecimal: 0x1D4C8
Base64: AdTI
One's complement: 4,294,847,287 (32-bit)
Scientific notation: 1.20008 × 10⁵
As a duration: 120,008 s = 1 day, 9 hours, 20 minutes, 8 seconds

In other bases

ternary (3) 20002121202

quaternary (4) 131103020

quinary (5) 12320013

senary (6) 2323332

septenary (7) 1006610

nonary (9) 202552

undecimal (11) 82189

duodecimal (12) 59548

tridecimal (13) 42815

tetradecimal (14) 31a40

pentadecimal (15) 25858

As an angle

120,008° = 333 × 360° + 128°

128° ≈ 2.234 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρκηʹ
Mayan (base 20): 𝋯·𝋠·𝋠·𝋨
Chinese: 一十二萬零八
Chinese (financial): 壹拾貳萬零捌

In other modern scripts

Eastern Arabic ١٢٠٠٠٨ Devanagari १२०००८ Bengali ১২০০০৮ Tamil ௧௨௦௦௦௮ Thai ๑๒๐๐๐๘ Tibetan ༡༢༠༠༠༨ Khmer ១២០០០៨ Lao ໑໒໐໐໐໘ Burmese ၁၂၀၀၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120008, here are decompositions:

37 + 119971 = 120008
79 + 119929 = 120008
127 + 119881 = 120008
139 + 119869 = 120008
157 + 119851 = 120008
181 + 119827 = 120008
199 + 119809 = 120008
211 + 119797 = 120008

Showing the first eight; more decompositions exist.

Unicode codepoint

𝓈

Mathematical Script Small S

U+1D4C8

Lowercase letter (Ll)

UTF-8 encoding: F0 9D 93 88 (4 bytes).

Lookup U+1D4C8 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#01D4C8

RGB(1, 212, 200)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.212.200.

Address: 0.1.212.200
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.212.200

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 120,008 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 US120,008 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 120008 first appears in π at position 127,098 of the decimal expansion (the 127,098ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 120008 on Pi Search ↗