Live analysis

120,084

120,084 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.).

120,084 (one hundred twenty thousand eighty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 10,007. Its proper divisors sum to 160,140, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D514.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Refactorable Number Semiperfect Number Smith Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

120,072 120,073 120,074 120,075 120,076 120,077 120,078 120,079 120,080 120,081 120,082 120,083 120,084 120,085 120,086 120,087 120,088 120,089 120,090 120,091 120,092 120,093 120,094 120,095 120,096

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 17 bits
Reversed: 480,021
Recamán's sequence: a(239,928) = 120,084
Square (n²): 14,420,167,056
Cube (n³): 1,731,631,340,752,704
Divisor count: 12
σ(n) — sum of divisors: 280,224
φ(n) — Euler's totient: 40,024
Sum of prime factors: 10,014

Primality

Prime factorization: 2 ² × 3 × 10007

Nearest primes: 120,079 (−5) · 120,091 (+7)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 10007 · 20014 · 30021 · 40028 · 60042 (half) · 120084

Aliquot sum (sum of proper divisors): 160,140

Factor pairs (a × b = 120,084)

1 × 120084

2 × 60042

3 × 40028

4 × 30021

6 × 20014

12 × 10007

First multiples

120,084 · 240,168 (double) · 360,252 · 480,336 · 600,420 · 720,504 · 840,588 · 960,672 · 1,080,756 · 1,200,840

Sums & aliquot sequence

As consecutive integers: 40,027 + 40,028 + 40,029 15,007 + 15,008 + … + 15,014 4,992 + 4,993 + … + 5,015

Aliquot sequence: 120,084 → 160,140 → 317,652 → 433,644 → 578,220 → 1,115,220 → 2,007,564 → 3,340,884 → 4,865,356 → 3,649,024 → 3,642,920 → 4,693,600 → 6,766,604 → 5,985,940 → 6,658,412 → 5,097,724 → 3,840,660 — unresolved within range

Continued fraction of √n

√120,084 = [346; (1, 1, 7, 2, 6, 1, 4, 1, 3, 3, 8, 2, 1, 4, 9, 1, 45, 3, 3, 4, 2, 11, 1, 2, …)]

Representations

In words: one hundred twenty thousand eighty-four
Ordinal: 120084th
Binary: 11101010100010100
Octal: 352424
Hexadecimal: 0x1D514
Base64: AdUU
One's complement: 4,294,847,211 (32-bit)
Scientific notation: 1.20084 × 10⁵
As a duration: 120,084 s = 1 day, 9 hours, 21 minutes, 24 seconds

In other bases

ternary (3) 20002201120

quaternary (4) 131110110

quinary (5) 12320314

senary (6) 2323540

septenary (7) 1010046

nonary (9) 202646

undecimal (11) 82248

duodecimal (12) 595b0

tridecimal (13) 42873

tetradecimal (14) 31a96

pentadecimal (15) 258a9

As an angle

120,084° = 333 × 360° + 204°

204° ≈ 3.56 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρκπδʹ
Mayan (base 20): 𝋯·𝋠·𝋤·𝋤
Chinese: 一十二萬零八十四
Chinese (financial): 壹拾貳萬零捌拾肆

In other modern scripts

Eastern Arabic ١٢٠٠٨٤ Devanagari १२००८४ Bengali ১২০০৮৪ Tamil ௧௨௦௦௮௪ Thai ๑๒๐๐๘๔ Tibetan ༡༢༠༠༨༤ Khmer ១២០០៨៤ Lao ໑໒໐໐໘໔ Burmese ၁၂၀၀၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120084, here are decompositions:

5 + 120079 = 120084
7 + 120077 = 120084
17 + 120067 = 120084
37 + 120047 = 120084
43 + 120041 = 120084
67 + 120017 = 120084
73 + 120011 = 120084
101 + 119983 = 120084

Showing the first eight; more decompositions exist.

Unicode codepoint

𝔔

Mathematical Fraktur Capital Q

U+1D514

Uppercase letter (Lu)

UTF-8 encoding: F0 9D 94 94 (4 bytes).

Lookup U+1D514 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#01D514

RGB(1, 213, 20)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.213.20.

Address: 0.1.213.20
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.213.20

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 120,084 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 US120,084 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 120084 first appears in π at position 797,142 of the decimal expansion (the 797,142ordinal-suffix:nd 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 120084 on Pi Search ↗