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120,833

120,833 is a prime, odd.

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.).

120,833 (one hundred twenty thousand eight hundred thirty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1D801.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
338,021
Square (n²)
14,600,613,889
Cube (n³)
1,764,235,978,049,537
Divisor count
2
σ(n) — sum of divisors
120,834
φ(n) — Euler's totient
120,832

Primality

120,833 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 120833
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 120,833)
1 × 120833
First multiples
120,833 · 241,666 (double) · 362,499 · 483,332 · 604,165 · 724,998 · 845,831 · 966,664 · 1,087,497 · 1,208,330

Sums & aliquot sequence

As a sum of two squares: 103² + 332²
As consecutive integers: 60,416 + 60,417

Continued fraction of √n

√120,833 = [347; (1, 1, 1, 1, 3, 4, 6, 1, 1, 1, 5, 1, 5, 1, 1, 8, 3, 1, 4, 1, 86, 13, 9, 2, …)]

Representations

In words
one hundred twenty thousand eight hundred thirty-three
Ordinal
120833rd
Binary
11101100000000001
Octal
354001
Hexadecimal
0x1D801
Base64
AdgB
One's complement
4,294,846,462 (32-bit)
Scientific notation
1.20833 × 10⁵
As a duration
120,833 s = 1 day, 9 hours, 33 minutes, 53 seconds
In other bases
ternary (3) 20010202022
quaternary (4) 131200001
quinary (5) 12331313
senary (6) 2331225
septenary (7) 1012166
nonary (9) 203668
undecimal (11) 82869
duodecimal (12) 59b15
tridecimal (13) 42ccb
tetradecimal (14) 3206d
pentadecimal (15) 25c08

As an angle

120,833° = 335 × 360° + 233°
233° ≈ 4.067 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρκωλγʹ
Mayan (base 20)
𝋯·𝋢·𝋡·𝋭
Chinese
一十二萬零八百三十三
Chinese (financial)
壹拾貳萬零捌佰參拾參
In other modern scripts
Eastern Arabic ١٢٠٨٣٣ Devanagari १२०८३३ Bengali ১২০৮৩৩ Tamil ௧௨௦௮௩௩ Thai ๑๒๐๘๓๓ Tibetan ༡༢༠༨༣༣ Khmer ១២០៨៣៣ Lao ໑໒໐໘໓໓ Burmese ၁၂၀၈၃၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 120829.

Unicode codepoint
𝠁
Signwriting Hand-Circle Index
U+1D801
Other symbol (So)

UTF-8 encoding: F0 9D A0 81 (4 bytes).

Hex color
#01D801
RGB(1, 216, 1)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.216.1.

Address
0.1.216.1
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.216.1

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 120,833 and was likely granted around 1871.

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

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.