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120,342

120,342 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.).

120,342 (one hundred twenty thousand three hundred forty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 31 × 647. Its proper divisors sum to 128,490, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D616.

Abundant Number Arithmetic Number Cube-Free Odious Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
243,021
Square (n²)
14,482,196,964
Cube (n³)
1,742,816,547,041,688
Divisor count
16
σ(n) — sum of divisors
248,832
φ(n) — Euler's totient
38,760
Sum of prime factors
683

Primality

Prime factorization: 2 × 3 × 31 × 647

Nearest primes: 120,331 (−11) · 120,349 (+7)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 31 · 62 · 93 · 186 · 647 · 1294 · 1941 · 3882 · 20057 · 40114 · 60171 (half) · 120342
Aliquot sum (sum of proper divisors): 128,490
Factor pairs (a × b = 120,342)
1 × 120342
2 × 60171
3 × 40114
6 × 20057
31 × 3882
62 × 1941
93 × 1294
186 × 647
First multiples
120,342 · 240,684 (double) · 361,026 · 481,368 · 601,710 · 722,052 · 842,394 · 962,736 · 1,083,078 · 1,203,420

Sums & aliquot sequence

As consecutive integers: 40,113 + 40,114 + 40,115 30,084 + 30,085 + 30,086 + 30,087 10,023 + 10,024 + … + 10,034 3,867 + 3,868 + … + 3,897
Aliquot sequence: 120,342 128,490 179,958 185,082 189,798 244,122 291,558 291,570 408,270 605,490 847,758 857,922 1,101,630 1,542,354 1,822,926 2,343,858 3,073,422 — unresolved within range

Continued fraction of √n

√120,342 = [346; (1, 9, 2, 1, 4, 13, 2, 1, 1, 3, 1, 1, 29, 1, 1, 1, 1, 8, 3, 2, 2, 6, 1, 2, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand three hundred forty-two
Ordinal
120342nd
Binary
11101011000010110
Octal
353026
Hexadecimal
0x1D616
Base64
AdYW
One's complement
4,294,846,953 (32-bit)
Scientific notation
1.20342 × 10⁵
As a duration
120,342 s = 1 day, 9 hours, 25 minutes, 42 seconds
In other bases
ternary (3) 20010002010
quaternary (4) 131120112
quinary (5) 12322332
senary (6) 2325050
septenary (7) 1010565
nonary (9) 203063
undecimal (11) 82462
duodecimal (12) 59786
tridecimal (13) 42a11
tetradecimal (14) 31bdc
pentadecimal (15) 259cc

As an angle

120,342° = 334 × 360° + 102°
102° ≈ 1.78 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρκτμβʹ
Mayan (base 20)
𝋯·𝋠·𝋱·𝋢
Chinese
一十二萬零三百四十二
Chinese (financial)
壹拾貳萬零參佰肆拾貳
In other modern scripts
Eastern Arabic ١٢٠٣٤٢ Devanagari १२०३४२ Bengali ১২০৩৪২ Tamil ௧௨௦௩௪௨ Thai ๑๒๐๓๔๒ Tibetan ༡༢༠༣༤༢ Khmer ១២០៣៤២ Lao ໑໒໐໓໔໒ Burmese ၁၂၀၃၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120342, here are decompositions:

  • 11 + 120331 = 120342
  • 23 + 120319 = 120342
  • 43 + 120299 = 120342
  • 59 + 120283 = 120342
  • 109 + 120233 = 120342
  • 149 + 120193 = 120342
  • 179 + 120163 = 120342
  • 239 + 120103 = 120342

Showing the first eight; more decompositions exist.

Unicode codepoint
𝘖
Mathematical Sans-Serif Italic Capital O
U+1D616
Uppercase letter (Lu)

UTF-8 encoding: F0 9D 98 96 (4 bytes).

Hex color
#01D616
RGB(1, 214, 22)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.214.22.

Address
0.1.214.22
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.214.22

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 120,342 and was likely granted around 1871.

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

Position in π

The digit sequence 120342 first appears in π at position 579,287 of the decimal expansion (the 579,287ordinal-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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.