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133,349

133,349 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.).

133,349 (one hundred thirty-three thousand three hundred forty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x208E5.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
972
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
943,331
Recamán's sequence
a(35,358) = 133,349
Square (n²)
17,781,955,801
Cube (n³)
2,371,206,024,107,549
Divisor count
2
σ(n) — sum of divisors
133,350
φ(n) — Euler's totient
133,348

Primality

133,349 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133349
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,349)
1 × 133349
First multiples
133,349 · 266,698 (double) · 400,047 · 533,396 · 666,745 · 800,094 · 933,443 · 1,066,792 · 1,200,141 · 1,333,490

Sums & aliquot sequence

As a sum of two squares: 193² + 310²
As consecutive integers: 66,674 + 66,675

Continued fraction of √n

√133,349 = [365; (5, 1, 7, 1, 28, 3, 16, 1, 1, 1, 8, 1, 18, 1, 5, 2, 1, 7, 1, 9, 1, 5, 1, 11, …)]

Representations

In words
one hundred thirty-three thousand three hundred forty-nine
Ordinal
133349th
Binary
100000100011100101
Octal
404345
Hexadecimal
0x208E5
Base64
Agjl
One's complement
4,294,833,946 (32-bit)
Scientific notation
1.33349 × 10⁵
As a duration
133,349 s = 1 day, 13 hours, 2 minutes, 29 seconds
In other bases
ternary (3) 20202220212
quaternary (4) 200203211
quinary (5) 13231344
senary (6) 2505205
septenary (7) 1063526
nonary (9) 222825
undecimal (11) 91207
duodecimal (12) 65205
tridecimal (13) 48908
tetradecimal (14) 3684d
pentadecimal (15) 2979e

As an angle

133,349° = 370 × 360° + 149°
149° ≈ 2.601 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγτμθʹ
Mayan (base 20)
𝋰·𝋭·𝋧·𝋩
Chinese
一十三萬三千三百四十九
Chinese (financial)
壹拾參萬參仟參佰肆拾玖
In other modern scripts
Eastern Arabic ١٣٣٣٤٩ Devanagari १३३३४९ Bengali ১৩৩৩৪৯ Tamil ௧௩௩௩௪௯ Thai ๑๓๓๓๔๙ Tibetan ༡༣༣༣༤༩ Khmer ១៣៣៣៤៩ Lao ໑໓໓໓໔໙ Burmese ၁၃၃၃၄၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 133351.

Unicode codepoint
𠣥
CJK Unified Ideograph-208E5
U+208E5
Other letter (Lo)

UTF-8 encoding: F0 A0 A3 A5 (4 bytes).

Hex color
#0208E5
RGB(2, 8, 229)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.229.

Address
0.2.8.229
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.229

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 133,349 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 133349 first appears in π at position 81,228 of the decimal expansion (the 81,228ordinal-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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.