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170,000

170,000 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.).

170,000 (one hundred seventy thousand) is an even 6-digit number. It is a composite number with 50 divisors, and factors as 2⁴ × 5⁴ × 17. Its proper divisors sum to 265,798, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x29810.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Refactorable Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
71
Square (n²)
28,900,000,000
Cube (n³)
4,913,000,000,000,000
Divisor count
50
σ(n) — sum of divisors
435,798
φ(n) — Euler's totient
64,000
Sum of prime factors
45

Primality

Prime factorization: 2 4 × 5 4 × 17

Nearest primes: 169,991 (−9) · 170,003 (+3)

Divisors & multiples

All divisors (50)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 17 · 20 · 25 · 34 · 40 · 50 · 68 · 80 · 85 · 100 · 125 · 136 · 170 · 200 · 250 · 272 · 340 · 400 · 425 · 500 · 625 · 680 · 850 · 1000 · 1250 · 1360 · 1700 · 2000 · 2125 · 2500 · 3400 · 4250 · 5000 · 6800 · 8500 · 10000 · 10625 · 17000 · 21250 · 34000 · 42500 · 85000 (half) · 170000
Aliquot sum (sum of proper divisors): 265,798
Factor pairs (a × b = 170,000)
1 × 170000
2 × 85000
4 × 42500
5 × 34000
8 × 21250
10 × 17000
16 × 10625
17 × 10000
20 × 8500
25 × 6800
34 × 5000
40 × 4250
50 × 3400
68 × 2500
80 × 2125
85 × 2000
100 × 1700
125 × 1360
136 × 1250
170 × 1000
200 × 850
250 × 680
272 × 625
340 × 500
400 × 425
First multiples
170,000 · 340,000 (double) · 510,000 · 680,000 · 850,000 · 1,020,000 · 1,190,000 · 1,360,000 · 1,530,000 · 1,700,000

Sums & aliquot sequence

As a sum of two squares: 16² + 412² = 100² + 400² = 160² + 380² = 208² + 356²
As consecutive integers: 33,998 + 33,999 + 34,000 + 34,001 + 34,002 9,992 + 9,993 + … + 10,008 6,788 + 6,789 + … + 6,812 5,297 + 5,298 + … + 5,328
Aliquot sequence: 170,000 265,798 163,610 130,906 81,134 41,986 30,014 16,186 8,096 10,048 10,018 5,012 5,068 5,124 8,764 8,820 22,302 — unresolved within range

Continued fraction of √n

√170,000 = [412; (3, 4, 1, 1, 4, 1, 10, 32, 1, 8, 3, 2, 1, 1, 1, 1, 2, 2, 3, 32, 1, 2, 3, 1, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words
one hundred seventy thousand
Ordinal
170000th
Binary
101001100000010000
Octal
514020
Hexadecimal
0x29810
Base64
ApgQ
One's complement
4,294,797,295 (32-bit)
Scientific notation
1.7 × 10⁵
As a duration
170,000 s = 1 day, 23 hours, 13 minutes, 20 seconds
In other bases
ternary (3) 22122012022
quaternary (4) 221200100
quinary (5) 20420000
senary (6) 3351012
septenary (7) 1305425
nonary (9) 278168
undecimal (11) 1067a6
duodecimal (12) 82468
tridecimal (13) 5c4bc
tetradecimal (14) 45d4c
pentadecimal (15) 35585

As an angle

170,000° = 472 × 360° + 80°
80° ≈ 1.396 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍
Greek (Milesian)
͵ρο
Chinese
一十七萬
Chinese (financial)
壹拾柒萬
In other modern scripts
Eastern Arabic ١٧٠٠٠٠ Devanagari १७०००० Bengali ১৭০০০০ Tamil ௧௭௦௦௦௦ Thai ๑๗๐๐๐๐ Tibetan ༡༧༠༠༠༠ Khmer ១៧០០០០ Lao ໑໗໐໐໐໐ Burmese ၁၇၀၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 170000, here are decompositions:

  • 13 + 169987 = 170000
  • 43 + 169957 = 170000
  • 67 + 169933 = 170000
  • 109 + 169891 = 170000
  • 157 + 169843 = 170000
  • 163 + 169837 = 170000
  • 211 + 169789 = 170000
  • 223 + 169777 = 170000

Showing the first eight; more decompositions exist.

Unicode codepoint
𩠐
CJK Unified Ideograph-29810
U+29810
Other letter (Lo)

UTF-8 encoding: F0 A9 A0 90 (4 bytes).

Hex color
#029810
RGB(2, 152, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.152.16.

Address
0.2.152.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.152.16

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 170,000 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 170000 first appears in π at position 855,242 of the decimal expansion (the 855,242ordinal-suffix:nd 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

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