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171,329

171,329 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.).

171,329 (one hundred seventy-one thousand three hundred twenty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x29D41.

Arithmetic Number Balanced Prime Chen Prime Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Recamán's Sequence Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
378
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
923,171
Recamán's sequence
a(193,106) = 171,329
Square (n²)
29,353,626,241
Cube (n³)
5,029,127,430,244,289
Divisor count
2
σ(n) — sum of divisors
171,330
φ(n) — Euler's totient
171,328

Primality

171,329 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 171329
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 171,329)
1 × 171329
First multiples
171,329 · 342,658 (double) · 513,987 · 685,316 · 856,645 · 1,027,974 · 1,199,303 · 1,370,632 · 1,541,961 · 1,713,290

Sums & aliquot sequence

As a sum of two squares: 152² + 385²
As consecutive integers: 85,664 + 85,665

Continued fraction of √n

√171,329 = [413; (1, 11, 2, 1, 4, 35, 1, 3, 1, 1, 8, 1, 5, 1, 2, 1, 2, 103, 8, 1, 2, 2, 1, 1, …)]

Representations

In words
one hundred seventy-one thousand three hundred twenty-nine
Ordinal
171329th
Binary
101001110101000001
Octal
516501
Hexadecimal
0x29D41
Base64
Ap1B
One's complement
4,294,795,966 (32-bit)
Scientific notation
1.71329 × 10⁵
As a duration
171,329 s = 1 day, 23 hours, 35 minutes, 29 seconds
In other bases
ternary (3) 22201000112
quaternary (4) 221311001
quinary (5) 20440304
senary (6) 3401105
septenary (7) 1312334
nonary (9) 281015
undecimal (11) 1077a4
duodecimal (12) 83195
tridecimal (13) 5cca2
tetradecimal (14) 4661b
pentadecimal (15) 35b6e

As an angle

171,329° = 475 × 360° + 329°
329° ≈ 5.742 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ροατκθʹ
Chinese
一十七萬一千三百二十九
Chinese (financial)
壹拾柒萬壹仟參佰貳拾玖
In other modern scripts
Eastern Arabic ١٧١٣٢٩ Devanagari १७१३२९ Bengali ১৭১৩২৯ Tamil ௧௭௧௩௨௯ Thai ๑๗๑๓๒๙ Tibetan ༡༧༡༣༢༩ Khmer ១៧១៣២៩ Lao ໑໗໑໓໒໙ Burmese ၁၇၁၃၂၉

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𩵁
CJK Unified Ideograph-29D41
U+29D41
Other letter (Lo)

UTF-8 encoding: F0 A9 B5 81 (4 bytes).

Hex color
#029D41
RGB(2, 157, 65)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.157.65.

Address
0.2.157.65
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.157.65

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 171,329 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.