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133,327

133,327 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.).

133,327 (one hundred thirty-three thousand three hundred twenty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x208CF.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
378
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
723,331
Recamán's sequence
a(35,314) = 133,327
Square (n²)
17,776,088,929
Cube (n³)
2,370,032,608,636,783
Divisor count
2
σ(n) — sum of divisors
133,328
φ(n) — Euler's totient
133,326

Primality

133,327 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133327
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,327)
1 × 133327
First multiples
133,327 · 266,654 (double) · 399,981 · 533,308 · 666,635 · 799,962 · 933,289 · 1,066,616 · 1,199,943 · 1,333,270

Sums & aliquot sequence

As consecutive integers: 66,663 + 66,664

Continued fraction of √n

√133,327 = [365; (7, 6, 3, 7, 1, 8, 38, 3, 10, 1, 1, 3, 9, 12, 1, 2, 2, 1, 1, 1, 2, 9, 2, 21, …)]

Representations

In words
one hundred thirty-three thousand three hundred twenty-seven
Ordinal
133327th
Binary
100000100011001111
Octal
404317
Hexadecimal
0x208CF
Base64
AgjP
One's complement
4,294,833,968 (32-bit)
Scientific notation
1.33327 × 10⁵
As a duration
133,327 s = 1 day, 13 hours, 2 minutes, 7 seconds
In other bases
ternary (3) 20202220001
quaternary (4) 200203033
quinary (5) 13231302
senary (6) 2505131
septenary (7) 1063465
nonary (9) 222801
undecimal (11) 91197
duodecimal (12) 651a7
tridecimal (13) 488bc
tetradecimal (14) 36835
pentadecimal (15) 29787

As an angle

133,327° = 370 × 360° + 127°
127° ≈ 2.217 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγτκζʹ
Mayan (base 20)
𝋰·𝋭·𝋦·𝋧
Chinese
一十三萬三千三百二十七
Chinese (financial)
壹拾參萬參仟參佰貳拾柒
In other modern scripts
Eastern Arabic ١٣٣٣٢٧ Devanagari १३३३२७ Bengali ১৩৩৩২৭ Tamil ௧௩௩௩௨௭ Thai ๑๓๓๓๒๗ Tibetan ༡༣༣༣༢༧ Khmer ១៣៣៣២៧ Lao ໑໓໓໓໒໗ Burmese ၁၃၃၃၂၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 133321.

Unicode codepoint
𠣏
CJK Unified Ideograph-208Cf
U+208CF
Other letter (Lo)

UTF-8 encoding: F0 A0 A3 8F (4 bytes).

Hex color
#0208CF
RGB(2, 8, 207)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.207.

Address
0.2.8.207
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.207

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 133,327 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 133327 first appears in π at position 214,146 of the decimal expansion (the 214,146ordinal-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.