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165,133

165,133 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.).

165,133 (one hundred sixty-five thousand one 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, 0x2850D.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
270
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
331,561
Square (n²)
27,268,907,689
Cube (n³)
4,502,996,533,407,637
Divisor count
2
σ(n) — sum of divisors
165,134
φ(n) — Euler's totient
165,132

Primality

165,133 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 165133
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 165,133)
1 × 165133
First multiples
165,133 · 330,266 (double) · 495,399 · 660,532 · 825,665 · 990,798 · 1,155,931 · 1,321,064 · 1,486,197 · 1,651,330

Sums & aliquot sequence

As a sum of two squares: 253² + 318²
As consecutive integers: 82,566 + 82,567

Continued fraction of √n

√165,133 = [406; (2, 1, 2, 1, 3, 2, 14, 1, 8, 2, 2, 5, 1, 3, 22, 3, 5, 1, 34, 2, 42, 3, 1, 1, …)]

Representations

In words
one hundred sixty-five thousand one hundred thirty-three
Ordinal
165133rd
Binary
101000010100001101
Octal
502415
Hexadecimal
0x2850D
Base64
AoUN
One's complement
4,294,802,162 (32-bit)
Scientific notation
1.65133 × 10⁵
As a duration
165,133 s = 1 day, 21 hours, 52 minutes, 13 seconds
In other bases
ternary (3) 22101112001
quaternary (4) 220110031
quinary (5) 20241013
senary (6) 3312301
septenary (7) 1255303
nonary (9) 271461
undecimal (11) 103081
duodecimal (12) 7b691
tridecimal (13) 5a217
tetradecimal (14) 44273
pentadecimal (15) 33ddd

As an angle

165,133° = 458 × 360° + 253°
253° ≈ 4.416 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρξερλγʹ
Chinese
一十六萬五千一百三十三
Chinese (financial)
壹拾陸萬伍仟壹佰參拾參
In other modern scripts
Eastern Arabic ١٦٥١٣٣ Devanagari १६५१३३ Bengali ১৬৫১৩৩ Tamil ௧௬௫௧௩௩ Thai ๑๖๕๑๓๓ Tibetan ༡༦༥༡༣༣ Khmer ១៦៥១៣៣ Lao ໑໖໕໑໓໓ Burmese ၁၆၅၁၃၃

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𨔍
CJK Unified Ideograph-2850D
U+2850D
Other letter (Lo)

UTF-8 encoding: F0 A8 94 8D (4 bytes).

Hex color
#02850D
RGB(2, 133, 13)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.133.13.

Address
0.2.133.13
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.133.13

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 165,133 and was likely granted around 1874.

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

Position in π

The digit sequence 165133 first appears in π at position 321,353 of the decimal expansion (the 321,353ordinal-suffix:rd 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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.