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133,967

133,967 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.).

133,967 (one hundred thirty-three thousand nine hundred sixty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20B4F.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Left-Truncatable Prime Odious Number Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
29
Digit product
3,402
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
769,331
Square (n²)
17,947,157,089
Cube (n³)
2,404,326,793,742,063
Divisor count
2
σ(n) — sum of divisors
133,968
φ(n) — Euler's totient
133,966

Primality

133,967 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133967
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,967)
1 × 133967
First multiples
133,967 · 267,934 (double) · 401,901 · 535,868 · 669,835 · 803,802 · 937,769 · 1,071,736 · 1,205,703 · 1,339,670

Sums & aliquot sequence

As consecutive integers: 66,983 + 66,984

Continued fraction of √n

√133,967 = [366; (66, 1, 1, 4, 1, 5, 4, 3, 7, 2, 11, 2, 1, 19, 9, 4, 1, 1, 1, 4, 52, 13, 1, 3, …)]

Representations

In words
one hundred thirty-three thousand nine hundred sixty-seven
Ordinal
133967th
Binary
100000101101001111
Octal
405517
Hexadecimal
0x20B4F
Base64
AgtP
One's complement
4,294,833,328 (32-bit)
Scientific notation
1.33967 × 10⁵
As a duration
133,967 s = 1 day, 13 hours, 12 minutes, 47 seconds
In other bases
ternary (3) 20210202202
quaternary (4) 200231033
quinary (5) 13241332
senary (6) 2512115
septenary (7) 1065401
nonary (9) 223682
undecimal (11) 91719
duodecimal (12) 6563b
tridecimal (13) 48c92
tetradecimal (14) 36b71
pentadecimal (15) 29a62
Palindromic in base 11

As an angle

133,967° = 372 × 360° + 47°
47° ≈ 0.82 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγϡξζʹ
Mayan (base 20)
𝋰·𝋮·𝋲·𝋧
Chinese
一十三萬三千九百六十七
Chinese (financial)
壹拾參萬參仟玖佰陸拾柒
In other modern scripts
Eastern Arabic ١٣٣٩٦٧ Devanagari १३३९६७ Bengali ১৩৩৯৬৭ Tamil ௧௩௩௯௬௭ Thai ๑๓๓๙๖๗ Tibetan ༡༣༣༩༦༧ Khmer ១៣៣៩៦៧ Lao ໑໓໓໙໖໗ Burmese ၁၃၃၉၆၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 133963.

Unicode codepoint
𠭏
CJK Unified Ideograph-20B4F
U+20B4F
Other letter (Lo)

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

Hex color
#020B4F
RGB(2, 11, 79)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.11.79.

Address
0.2.11.79
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.11.79

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 133,967 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

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.