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120,842

120,842 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.).

120,842 (one hundred twenty thousand eight hundred forty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 23 × 37 × 71. Written other ways, in hexadecimal, 0x1D80A.

Arithmetic Number Cube-Free Deficient Number Odious Number Pentagonal Pernicious Number Self Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
248,021
Square (n²)
14,602,788,964
Cube (n³)
1,764,630,223,987,688
Divisor count
16
σ(n) — sum of divisors
196,992
φ(n) — Euler's totient
55,440
Sum of prime factors
133

Primality

Prime factorization: 2 × 23 × 37 × 71

Nearest primes: 120,833 (−9) · 120,847 (+5)

Divisors & multiples

All divisors (16)
1 · 2 · 23 · 37 · 46 · 71 · 74 · 142 · 851 · 1633 · 1702 · 2627 · 3266 · 5254 · 60421 (half) · 120842
Aliquot sum (sum of proper divisors): 76,150
Factor pairs (a × b = 120,842)
1 × 120842
2 × 60421
23 × 5254
37 × 3266
46 × 2627
71 × 1702
74 × 1633
142 × 851
First multiples
120,842 · 241,684 (double) · 362,526 · 483,368 · 604,210 · 725,052 · 845,894 · 966,736 · 1,087,578 · 1,208,420

Sums & aliquot sequence

As consecutive integers: 30,209 + 30,210 + 30,211 + 30,212 5,243 + 5,244 + … + 5,265 3,248 + 3,249 + … + 3,284 1,667 + 1,668 + … + 1,737
Aliquot sequence: 120,842 76,150 65,582 42,946 22,394 11,200 20,296 19,304 19,096 26,984 23,626 11,816 13,624 14,096 13,246 7,274 3,640 — unresolved within range

Continued fraction of √n

√120,842 = [347; (1, 1, 1, 1, 1, 8, 1, 8, 1, 8, 1, 1, 1, 1, 1, 694)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand eight hundred forty-two
Ordinal
120842nd
Binary
11101100000001010
Octal
354012
Hexadecimal
0x1D80A
Base64
AdgK
One's complement
4,294,846,453 (32-bit)
Scientific notation
1.20842 × 10⁵
As a duration
120,842 s = 1 day, 9 hours, 34 minutes, 2 seconds
In other bases
ternary (3) 20010202122
quaternary (4) 131200022
quinary (5) 12331332
senary (6) 2331242
septenary (7) 1012211
nonary (9) 203678
undecimal (11) 82877
duodecimal (12) 59b22
tridecimal (13) 43007
tetradecimal (14) 32078
pentadecimal (15) 25c12

As an angle

120,842° = 335 × 360° + 242°
242° ≈ 4.224 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρκωμβʹ
Mayan (base 20)
𝋯·𝋢·𝋢·𝋢
Chinese
一十二萬零八百四十二
Chinese (financial)
壹拾貳萬零捌佰肆拾貳
In other modern scripts
Eastern Arabic ١٢٠٨٤٢ Devanagari १२०८४२ Bengali ১২০৮৪২ Tamil ௧௨௦௮௪௨ Thai ๑๒๐๘๔๒ Tibetan ༡༢༠༨༤༢ Khmer ១២០៨៤២ Lao ໑໒໐໘໔໒ Burmese ၁၂၀၈၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120842, here are decompositions:

  • 13 + 120829 = 120842
  • 19 + 120823 = 120842
  • 31 + 120811 = 120842
  • 79 + 120763 = 120842
  • 103 + 120739 = 120842
  • 151 + 120691 = 120842
  • 181 + 120661 = 120842
  • 223 + 120619 = 120842

Showing the first eight; more decompositions exist.

Unicode codepoint
𝠊
Signwriting Hand-Fist Index Cupped
U+1D80A
Other symbol (So)

UTF-8 encoding: F0 9D A0 8A (4 bytes).

Hex color
#01D80A
RGB(1, 216, 10)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.216.10.

Address
0.1.216.10
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.216.10

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 120,842 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 120842 first appears in π at position 246,288 of the decimal expansion (the 246,288ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.