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133,183

133,183 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.).

133,183 (one hundred thirty-three thousand one hundred eighty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2083F.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Prime Self Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
216
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
381,331
Square (n²)
17,737,711,489
Cube (n³)
2,362,361,629,239,487
Divisor count
2
σ(n) — sum of divisors
133,184
φ(n) — Euler's totient
133,182

Primality

133,183 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133183
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,183)
1 × 133183
First multiples
133,183 · 266,366 (double) · 399,549 · 532,732 · 665,915 · 799,098 · 932,281 · 1,065,464 · 1,198,647 · 1,331,830

Sums & aliquot sequence

As consecutive integers: 66,591 + 66,592

Continued fraction of √n

√133,183 = [364; (1, 16, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 4, 1, 4, 7, 51, 1, 242, 3, 5, 2, 5, 1, …)]

Representations

In words
one hundred thirty-three thousand one hundred eighty-three
Ordinal
133183rd
Binary
100000100000111111
Octal
404077
Hexadecimal
0x2083F
Base64
Agg/
One's complement
4,294,834,112 (32-bit)
Scientific notation
1.33183 × 10⁵
As a duration
133,183 s = 1 day, 12 hours, 59 minutes, 43 seconds
In other bases
ternary (3) 20202200201
quaternary (4) 200200333
quinary (5) 13230213
senary (6) 2504331
septenary (7) 1063201
nonary (9) 222621
undecimal (11) 91076
duodecimal (12) 650a7
tridecimal (13) 4880b
tetradecimal (14) 36771
pentadecimal (15) 296dd

As an angle

133,183° = 369 × 360° + 343°
343° ≈ 5.986 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλγρπγʹ
Mayan (base 20)
𝋰·𝋬·𝋳·𝋣
Chinese
一十三萬三千一百八十三
Chinese (financial)
壹拾參萬參仟壹佰捌拾參
In other modern scripts
Eastern Arabic ١٣٣١٨٣ Devanagari १३३१८३ Bengali ১৩৩১৮৩ Tamil ௧௩௩௧௮௩ Thai ๑๓๓๑๘๓ Tibetan ༡༣༣༡༨༣ Khmer ១៣៣១៨៣ Lao ໑໓໓໑໘໓ Burmese ၁၃၃၁၈၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 133187.

Unicode codepoint
𠠿
CJK Unified Ideograph-2083F
U+2083F
Other letter (Lo)

UTF-8 encoding: F0 A0 A0 BF (4 bytes).

Hex color
#02083F
RGB(2, 8, 63)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.63.

Address
0.2.8.63
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.63

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 133,183 and was likely granted around 1872.

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

Position in π

The digit sequence 133183 first appears in π at position 69,036 of the decimal expansion (the 69,036ordinal-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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.