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171,008

171,008 is a composite number, even.

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.).

171,008 (one hundred seventy-one thousand eight) is an even 6-digit number. It is a composite number with 22 divisors, and factors as 2¹⁰ × 167. Its proper divisors sum to 172,888, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x29C00.

Abundant Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
800,171
Recamán's sequence
a(193,748) = 171,008
Square (n²)
29,243,736,064
Cube (n³)
5,000,912,816,832,512
Divisor count
22
σ(n) — sum of divisors
343,896
φ(n) — Euler's totient
84,992
Sum of prime factors
187

Primality

Prime factorization: 2 10 × 167

Nearest primes: 171,007 (−1) · 171,023 (+15)

Divisors & multiples

All divisors (22)
1 · 2 · 4 · 8 · 16 · 32 · 64 · 128 · 167 · 256 · 334 · 512 · 668 · 1024 · 1336 · 2672 · 5344 · 10688 · 21376 · 42752 · 85504 (half) · 171008
Aliquot sum (sum of proper divisors): 172,888
Factor pairs (a × b = 171,008)
1 × 171008
2 × 85504
4 × 42752
8 × 21376
16 × 10688
32 × 5344
64 × 2672
128 × 1336
167 × 1024
256 × 668
334 × 512
First multiples
171,008 · 342,016 (double) · 513,024 · 684,032 · 855,040 · 1,026,048 · 1,197,056 · 1,368,064 · 1,539,072 · 1,710,080

Sums & aliquot sequence

As consecutive integers: 941 + 942 + … + 1,107
Aliquot sequence: 171,008 172,888 151,292 116,668 87,508 67,724 50,800 72,208 67,726 33,866 26,614 19,034 10,534 6,026 3,478 1,994 1,000 — unresolved within range

Continued fraction of √n

√171,008 = [413; (1, 1, 7, 1, 1, 7, 1, 205, 1, 7, 1, 1, 7, 1, 1, 826)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred seventy-one thousand eight
Ordinal
171008th
Binary
101001110000000000
Octal
516000
Hexadecimal
0x29C00
Base64
ApwA
One's complement
4,294,796,287 (32-bit)
Scientific notation
1.71008 × 10⁵
As a duration
171,008 s = 1 day, 23 hours, 30 minutes, 8 seconds
In other bases
ternary (3) 22200120122
quaternary (4) 221300000
quinary (5) 20433013
senary (6) 3355412
septenary (7) 1311365
nonary (9) 280518
undecimal (11) 107532
duodecimal (12) 82b68
tridecimal (13) 5cab6
tetradecimal (14) 4646c
pentadecimal (15) 35a08

As an angle

171,008° = 475 × 360° + 8°
8° ≈ 0.14 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ροαηʹ
Chinese
一十七萬一千零八
Chinese (financial)
壹拾柒萬壹仟零捌
In other modern scripts
Eastern Arabic ١٧١٠٠٨ Devanagari १७१००८ Bengali ১৭১০০৮ Tamil ௧௭௧௦௦௮ Thai ๑๗๑๐๐๘ Tibetan ༡༧༡༠༠༨ Khmer ១៧១០០៨ Lao ໑໗໑໐໐໘ Burmese ၁၇၁၀၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 171008, here are decompositions:

  • 37 + 170971 = 171008
  • 109 + 170899 = 171008
  • 127 + 170881 = 171008
  • 151 + 170857 = 171008
  • 157 + 170851 = 171008
  • 181 + 170827 = 171008
  • 199 + 170809 = 171008
  • 241 + 170767 = 171008

Showing the first eight; more decompositions exist.

Unicode codepoint
𩰀
CJK Unified Ideograph-29C00
U+29C00
Other letter (Lo)

UTF-8 encoding: F0 A9 B0 80 (4 bytes).

Hex color
#029C00
RGB(2, 156, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.156.0.

Address
0.2.156.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.156.0

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 171,008 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.