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165,313

165,313 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.).

165,313 (one hundred sixty-five thousand three hundred thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x285C1.

Arithmetic Number Centered Square Cousin Prime Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
270
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
313,561
Square (n²)
27,328,387,969
Cube (n³)
4,517,737,800,319,297
Divisor count
2
σ(n) — sum of divisors
165,314
φ(n) — Euler's totient
165,312

Primality

165,313 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 165313
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 165,313)
1 × 165313
First multiples
165,313 · 330,626 (double) · 495,939 · 661,252 · 826,565 · 991,878 · 1,157,191 · 1,322,504 · 1,487,817 · 1,653,130

Sums & aliquot sequence

As a sum of two squares: 287² + 288²
As consecutive integers: 82,656 + 82,657

Continued fraction of √n

√165,313 = [406; (1, 1, 2, 2, 1, 2, 7, 1, 5, 2, 2, 1, 3, 18, 1, 1, 1, 3, 1, 3, 6, 1, 270, 5, …)]

Representations

In words
one hundred sixty-five thousand three hundred thirteen
Ordinal
165313th
Binary
101000010111000001
Octal
502701
Hexadecimal
0x285C1
Base64
AoXB
One's complement
4,294,801,982 (32-bit)
Scientific notation
1.65313 × 10⁵
As a duration
165,313 s = 1 day, 21 hours, 55 minutes, 13 seconds
In other bases
ternary (3) 22101202201
quaternary (4) 220113001
quinary (5) 20242223
senary (6) 3313201
septenary (7) 1255651
nonary (9) 271681
undecimal (11) 103225
duodecimal (12) 7b801
tridecimal (13) 5a325
tetradecimal (14) 44361
pentadecimal (15) 33ead

As an angle

165,313° = 459 × 360° + 73°
73° ≈ 1.274 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρξετιγʹ
Chinese
一十六萬五千三百一十三
Chinese (financial)
壹拾陸萬伍仟參佰壹拾參
In other modern scripts
Eastern Arabic ١٦٥٣١٣ Devanagari १६५३१३ Bengali ১৬৫৩১৩ Tamil ௧௬௫௩௧௩ Thai ๑๖๕๓๑๓ Tibetan ༡༦༥༣༡༣ Khmer ១៦៥៣១៣ Lao ໑໖໕໓໑໓ Burmese ၁၆၅၃၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 165311, cousin with 165317.

Unicode codepoint
𨗁
CJK Unified Ideograph-285C1
U+285C1
Other letter (Lo)

UTF-8 encoding: F0 A8 97 81 (4 bytes).

Hex color
#0285C1
RGB(2, 133, 193)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.133.193.

Address
0.2.133.193
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.133.193

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 165,313 and was likely granted around 1874.

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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.