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171,200

171,200 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.).

171,200 (one hundred seventy-one thousand two hundred) is an even 6-digit number. It is a composite number with 42 divisors, and factors as 2⁶ × 5² × 107. Its proper divisors sum to 253,996, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x29CC0.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
2,171
Recamán's sequence
a(193,364) = 171,200
Square (n²)
29,309,440,000
Cube (n³)
5,017,776,128,000,000
Divisor count
42
σ(n) — sum of divisors
425,196
φ(n) — Euler's totient
67,840
Sum of prime factors
129

Primality

Prime factorization: 2 6 × 5 2 × 107

Nearest primes: 171,179 (−21) · 171,203 (+3)

Divisors & multiples

All divisors (42)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 32 · 40 · 50 · 64 · 80 · 100 · 107 · 160 · 200 · 214 · 320 · 400 · 428 · 535 · 800 · 856 · 1070 · 1600 · 1712 · 2140 · 2675 · 3424 · 4280 · 5350 · 6848 · 8560 · 10700 · 17120 · 21400 · 34240 · 42800 · 85600 (half) · 171200
Aliquot sum (sum of proper divisors): 253,996
Factor pairs (a × b = 171,200)
1 × 171200
2 × 85600
4 × 42800
5 × 34240
8 × 21400
10 × 17120
16 × 10700
20 × 8560
25 × 6848
32 × 5350
40 × 4280
50 × 3424
64 × 2675
80 × 2140
100 × 1712
107 × 1600
160 × 1070
200 × 856
214 × 800
320 × 535
400 × 428
First multiples
171,200 · 342,400 (double) · 513,600 · 684,800 · 856,000 · 1,027,200 · 1,198,400 · 1,369,600 · 1,540,800 · 1,712,000

Sums & aliquot sequence

As consecutive integers: 34,238 + 34,239 + 34,240 + 34,241 + 34,242 6,836 + 6,837 + … + 6,860 1,547 + 1,548 + … + 1,653 1,274 + 1,275 + … + 1,401
Aliquot sequence: 171,200 253,996 190,504 166,706 105,454 52,730 42,202 21,104 19,816 17,354 8,680 14,360 18,040 27,320 34,240 48,056 42,064 — unresolved within range

Continued fraction of √n

√171,200 = [413; (1, 3, 4, 2, 11, 4, 1, 4, 4, 8, 26, 1, 1, 2, 1, 12, 4, 1, 1, 1, 6, 32, 1, 19, …)]

Representations

In words
one hundred seventy-one thousand two hundred
Ordinal
171200th
Binary
101001110011000000
Octal
516300
Hexadecimal
0x29CC0
Base64
ApzA
One's complement
4,294,796,095 (32-bit)
Scientific notation
1.712 × 10⁵
As a duration
171,200 s = 1 day, 23 hours, 33 minutes, 20 seconds
In other bases
ternary (3) 22200211202
quaternary (4) 221303000
quinary (5) 20434300
senary (6) 3400332
septenary (7) 1312061
nonary (9) 280752
undecimal (11) 107697
duodecimal (12) 830a8
tridecimal (13) 5cc03
tetradecimal (14) 46568
pentadecimal (15) 35ad5

As an angle

171,200° = 475 × 360° + 200°
200° ≈ 3.491 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢
Greek (Milesian)
͵ροασʹ
Chinese
一十七萬一千二百
Chinese (financial)
壹拾柒萬壹仟貳佰
In other modern scripts
Eastern Arabic ١٧١٢٠٠ Devanagari १७१२०० Bengali ১৭১২০০ Tamil ௧௭௧௨௦௦ Thai ๑๗๑๒๐๐ Tibetan ༡༧༡༢༠༠ Khmer ១៧១២០០ Lao ໑໗໑໒໐໐ Burmese ၁၇၁၂၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 171200, here are decompositions:

  • 31 + 171169 = 171200
  • 37 + 171163 = 171200
  • 97 + 171103 = 171200
  • 109 + 171091 = 171200
  • 151 + 171049 = 171200
  • 157 + 171043 = 171200
  • 193 + 171007 = 171200
  • 229 + 170971 = 171200

Showing the first eight; more decompositions exist.

Unicode codepoint
𩳀
CJK Unified Ideograph-29Cc0
U+29CC0
Other letter (Lo)

UTF-8 encoding: F0 A9 B3 80 (4 bytes).

Hex color
#029CC0
RGB(2, 156, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.156.192.

Address
0.2.156.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.156.192

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 171,200 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°.