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133,303

133,303 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.).

133,303 (one hundred thirty-three thousand three hundred three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x208B7.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
303,331
Recamán's sequence
a(35,266) = 133,303
Square (n²)
17,769,689,809
Cube (n³)
2,368,752,960,609,127
Divisor count
2
σ(n) — sum of divisors
133,304
φ(n) — Euler's totient
133,302

Primality

133,303 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133303
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,303)
1 × 133303
First multiples
133,303 · 266,606 (double) · 399,909 · 533,212 · 666,515 · 799,818 · 933,121 · 1,066,424 · 1,199,727 · 1,333,030

Sums & aliquot sequence

As consecutive integers: 66,651 + 66,652

Continued fraction of √n

√133,303 = [365; (9, 2, 1, 3, 2, 4, 4, 1, 2, 1, 7, 3, 2, 16, 1, 21, 5, 2, 2, 10, 5, 1, 2, 3, …)]

Representations

In words
one hundred thirty-three thousand three hundred three
Ordinal
133303rd
Binary
100000100010110111
Octal
404267
Hexadecimal
0x208B7
Base64
Agi3
One's complement
4,294,833,992 (32-bit)
Scientific notation
1.33303 × 10⁵
As a duration
133,303 s = 1 day, 13 hours, 1 minute, 43 seconds
In other bases
ternary (3) 20202212011
quaternary (4) 200202313
quinary (5) 13231203
senary (6) 2505051
septenary (7) 1063432
nonary (9) 222764
undecimal (11) 91175
duodecimal (12) 65187
tridecimal (13) 488a1
tetradecimal (14) 36819
pentadecimal (15) 2976d

As an angle

133,303° = 370 × 360° + 103°
103° ≈ 1.798 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓏺𓏺𓏺
Greek (Milesian)
͵ρλγτγʹ
Mayan (base 20)
𝋰·𝋭·𝋥·𝋣
Chinese
一十三萬三千三百零三
Chinese (financial)
壹拾參萬參仟參佰零參
In other modern scripts
Eastern Arabic ١٣٣٣٠٣ Devanagari १३३३०३ Bengali ১৩৩৩০৩ Tamil ௧௩௩௩௦௩ Thai ๑๓๓๓๐๓ Tibetan ༡༣༣༣༠༣ Khmer ១៣៣៣០៣ Lao ໑໓໓໓໐໓ Burmese ၁၃၃၃၀၃

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠢷
CJK Unified Ideograph-208B7
U+208B7
Other letter (Lo)

UTF-8 encoding: F0 A0 A2 B7 (4 bytes).

Hex color
#0208B7
RGB(2, 8, 183)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.183.

Address
0.2.8.183
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.183

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 133,303 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 133303 first appears in π at position 202,826 of the decimal expansion (the 202,826ordinal-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.