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134,033

134,033 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.).

134,033 (one hundred thirty-four thousand thirty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20B91.

Arithmetic Number Cube-Free Deficient Number Emirp Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
330,431
Square (n²)
17,964,845,089
Cube (n³)
2,407,882,081,813,937
Divisor count
2
σ(n) — sum of divisors
134,034
φ(n) — Euler's totient
134,032

Primality

134,033 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 134033
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 134,033)
1 × 134033
First multiples
134,033 · 268,066 (double) · 402,099 · 536,132 · 670,165 · 804,198 · 938,231 · 1,072,264 · 1,206,297 · 1,340,330

Sums & aliquot sequence

As a sum of two squares: 128² + 343²
As consecutive integers: 67,016 + 67,017

Continued fraction of √n

√134,033 = [366; (9, 1, 1, 31, 3, 4, 4, 1, 1, 2, 2, 1, 1, 104, 66, 1, 1, 4, 22, 1, 1, 1, 14, 1, …)]

Representations

In words
one hundred thirty-four thousand thirty-three
Ordinal
134033rd
Binary
100000101110010001
Octal
405621
Hexadecimal
0x20B91
Base64
AguR
One's complement
4,294,833,262 (32-bit)
Scientific notation
1.34033 × 10⁵
As a duration
134,033 s = 1 day, 13 hours, 13 minutes, 53 seconds
In other bases
ternary (3) 20210212012
quaternary (4) 200232101
quinary (5) 13242113
senary (6) 2512305
septenary (7) 1065524
nonary (9) 223765
undecimal (11) 91779
duodecimal (12) 65695
tridecimal (13) 49013
tetradecimal (14) 36bbb
pentadecimal (15) 29aa8

As an angle

134,033° = 372 × 360° + 113°
113° ≈ 1.972 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλδλγʹ
Mayan (base 20)
𝋰·𝋯·𝋡·𝋭
Chinese
一十三萬四千零三十三
Chinese (financial)
壹拾參萬肆仟零參拾參
In other modern scripts
Eastern Arabic ١٣٤٠٣٣ Devanagari १३४०३३ Bengali ১৩৪০৩৩ Tamil ௧௩௪௦௩௩ Thai ๑๓๔๐๓๓ Tibetan ༡༣༤༠༣༣ Khmer ១៣៤០៣៣ Lao ໑໓໔໐໓໓ Burmese ၁၃၄၀၃၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 134039.

Unicode codepoint
𠮑
CJK Unified Ideograph-20B91
U+20B91
Other letter (Lo)

UTF-8 encoding: F0 A0 AE 91 (4 bytes).

Hex color
#020B91
RGB(2, 11, 145)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.11.145.

Address
0.2.11.145
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.11.145

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 134,033 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 134033 first appears in π at position 269,256 of the decimal expansion (the 269,256ordinal-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.