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133,073

133,073 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.).

133,073 (one hundred thirty-three thousand seventy-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x207D1.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
370,331
Square (n²)
17,708,423,329
Cube (n³)
2,356,513,017,660,017
Divisor count
2
σ(n) — sum of divisors
133,074
φ(n) — Euler's totient
133,072

Primality

133,073 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133073
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,073)
1 × 133073
First multiples
133,073 · 266,146 (double) · 399,219 · 532,292 · 665,365 · 798,438 · 931,511 · 1,064,584 · 1,197,657 · 1,330,730

Sums & aliquot sequence

As a sum of two squares: 92² + 353²
As consecutive integers: 66,536 + 66,537

Continued fraction of √n

√133,073 = [364; (1, 3, 1, 4, 31, 1, 1, 19, 4, 1, 2, 1, 44, 1, 6, 4, 13, 1, 1, 9, 1, 3, 7, 1, …)]

Representations

In words
one hundred thirty-three thousand seventy-three
Ordinal
133073rd
Binary
100000011111010001
Octal
403721
Hexadecimal
0x207D1
Base64
AgfR
One's complement
4,294,834,222 (32-bit)
Scientific notation
1.33073 × 10⁵
As a duration
133,073 s = 1 day, 12 hours, 57 minutes, 53 seconds
In other bases
ternary (3) 20202112122
quaternary (4) 200133101
quinary (5) 13224243
senary (6) 2504025
septenary (7) 1062653
nonary (9) 222478
undecimal (11) 90a86
duodecimal (12) 65015
tridecimal (13) 48755
tetradecimal (14) 366d3
pentadecimal (15) 29668

As an angle

133,073° = 369 × 360° + 233°
233° ≈ 4.067 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλγογʹ
Mayan (base 20)
𝋰·𝋬·𝋭·𝋭
Chinese
一十三萬三千零七十三
Chinese (financial)
壹拾參萬參仟零柒拾參
In other modern scripts
Eastern Arabic ١٣٣٠٧٣ Devanagari १३३०७३ Bengali ১৩৩০৭৩ Tamil ௧௩௩௦௭௩ Thai ๑๓๓๐๗๓ Tibetan ༡༣༣༠༧༣ Khmer ១៣៣០៧៣ Lao ໑໓໓໐໗໓ Burmese ၁၃၃၀၇၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 133069.

Unicode codepoint
𠟑
CJK Unified Ideograph-207D1
U+207D1
Other letter (Lo)

UTF-8 encoding: F0 A0 9F 91 (4 bytes).

Hex color
#0207D1
RGB(2, 7, 209)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.209.

Address
0.2.7.209
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.7.209

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 133,073 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.