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133,733

133,733 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.).

133,733 (one hundred thirty-three thousand seven hundred thirty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20A65.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
567
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
337,331
Square (n²)
17,884,515,289
Cube (n³)
2,391,749,883,143,837
Divisor count
2
σ(n) — sum of divisors
133,734
φ(n) — Euler's totient
133,732

Primality

133,733 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133733
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,733)
1 × 133733
First multiples
133,733 · 267,466 (double) · 401,199 · 534,932 · 668,665 · 802,398 · 936,131 · 1,069,864 · 1,203,597 · 1,337,330

Sums & aliquot sequence

As a sum of two squares: 142² + 337²
As consecutive integers: 66,866 + 66,867

Continued fraction of √n

√133,733 = [365; (1, 2, 3, 1, 1, 3, 1, 8, 2, 10, 2, 3, 1, 9, 4, 7, 1, 37, 1, 1, 1, 1, 1, 1, …)]

Period length 43 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand seven hundred thirty-three
Ordinal
133733rd
Binary
100000101001100101
Octal
405145
Hexadecimal
0x20A65
Base64
Agpl
One's complement
4,294,833,562 (32-bit)
Scientific notation
1.33733 × 10⁵
As a duration
133,733 s = 1 day, 13 hours, 8 minutes, 53 seconds
In other bases
ternary (3) 20210110002
quaternary (4) 200221211
quinary (5) 13234413
senary (6) 2511045
septenary (7) 1064615
nonary (9) 223402
undecimal (11) 91526
duodecimal (12) 65485
tridecimal (13) 48b42
tetradecimal (14) 36a45
pentadecimal (15) 29958

As an angle

133,733° = 371 × 360° + 173°
173° ≈ 3.019 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλγψλγʹ
Mayan (base 20)
𝋰·𝋮·𝋦·𝋭
Chinese
一十三萬三千七百三十三
Chinese (financial)
壹拾參萬參仟柒佰參拾參
In other modern scripts
Eastern Arabic ١٣٣٧٣٣ Devanagari १३३७३३ Bengali ১৩৩৭৩৩ Tamil ௧௩௩௭௩௩ Thai ๑๓๓๗๓๓ Tibetan ༡༣༣༧༣༣ Khmer ១៣៣៧៣៣ Lao ໑໓໓໗໓໓ Burmese ၁၃၃၇၃၃

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠩥
CJK Unified Ideograph-20A65
U+20A65
Other letter (Lo)

UTF-8 encoding: F0 A0 A9 A5 (4 bytes).

Hex color
#020A65
RGB(2, 10, 101)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.101.

Address
0.2.10.101
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.101

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 133,733 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 133733 first appears in π at position 241,192 of the decimal expansion (the 241,192ordinal-suffix:nd 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.