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170,800

170,800 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.).

170,800 (one hundred seventy thousand eight hundred) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 5² × 7 × 61. Its proper divisors sum to 305,856, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x29B30.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
8,071
Recamán's sequence
a(469,687) = 170,800
Square (n²)
29,172,640,000
Cube (n³)
4,982,686,912,000,000
Divisor count
60
σ(n) — sum of divisors
476,656
φ(n) — Euler's totient
57,600
Sum of prime factors
86

Primality

Prime factorization: 2 4 × 5 2 × 7 × 61

Nearest primes: 170,777 (−23) · 170,801 (+1)

Divisors & multiples

All divisors (60)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 16 · 20 · 25 · 28 · 35 · 40 · 50 · 56 · 61 · 70 · 80 · 100 · 112 · 122 · 140 · 175 · 200 · 244 · 280 · 305 · 350 · 400 · 427 · 488 · 560 · 610 · 700 · 854 · 976 · 1220 · 1400 · 1525 · 1708 · 2135 · 2440 · 2800 · 3050 · 3416 · 4270 · 4880 · 6100 · 6832 · 8540 · 10675 · 12200 · 17080 · 21350 · 24400 · 34160 · 42700 · 85400 (half) · 170800
Aliquot sum (sum of proper divisors): 305,856
Factor pairs (a × b = 170,800)
1 × 170800
2 × 85400
4 × 42700
5 × 34160
7 × 24400
8 × 21350
10 × 17080
14 × 12200
16 × 10675
20 × 8540
25 × 6832
28 × 6100
35 × 4880
40 × 4270
50 × 3416
56 × 3050
61 × 2800
70 × 2440
80 × 2135
100 × 1708
112 × 1525
122 × 1400
140 × 1220
175 × 976
200 × 854
244 × 700
280 × 610
305 × 560
350 × 488
400 × 427
First multiples
170,800 · 341,600 (double) · 512,400 · 683,200 · 854,000 · 1,024,800 · 1,195,600 · 1,366,400 · 1,537,200 · 1,708,000

Sums & aliquot sequence

As consecutive integers: 34,158 + 34,159 + 34,160 + 34,161 + 34,162 24,397 + 24,398 + … + 24,403 6,820 + 6,821 + … + 6,844 5,322 + 5,323 + … + 5,353
Aliquot sequence: 170,800 305,856 616,164 821,580 1,479,012 2,032,188 3,075,012 4,752,808 4,211,192 4,119,928 3,678,752 5,356,960 9,109,856 11,727,520 20,907,488 26,134,864 31,735,440 — unresolved within range

Continued fraction of √n

√170,800 = [413; (3, 1, 1, 2, 1, 2, 1, 32, 3, 51, 3, 32, 1, 2, 1, 2, 1, 1, 3, 826)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred seventy thousand eight hundred
Ordinal
170800th
Binary
101001101100110000
Octal
515460
Hexadecimal
0x29B30
Base64
Apsw
One's complement
4,294,796,495 (32-bit)
Scientific notation
1.708 × 10⁵
As a duration
170,800 s = 1 day, 23 hours, 26 minutes, 40 seconds
In other bases
ternary (3) 22200021221
quaternary (4) 221230300
quinary (5) 20431200
senary (6) 3354424
septenary (7) 1310650
nonary (9) 280257
undecimal (11) 107363
duodecimal (12) 82a14
tridecimal (13) 5c986
tetradecimal (14) 46360
pentadecimal (15) 3591a

As an angle

170,800° = 474 × 360° + 160°
160° ≈ 2.793 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ροωʹ
Chinese
一十七萬零八百
Chinese (financial)
壹拾柒萬零捌佰
In other modern scripts
Eastern Arabic ١٧٠٨٠٠ Devanagari १७०८०० Bengali ১৭০৮০০ Tamil ௧௭௦௮௦௦ Thai ๑๗๐๘๐๐ Tibetan ༡༧༠༨༠༠ Khmer ១៧០៨០០ Lao ໑໗໐໘໐໐ Burmese ၁၇၀၈၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 170800, here are decompositions:

  • 23 + 170777 = 170800
  • 41 + 170759 = 170800
  • 59 + 170741 = 170800
  • 89 + 170711 = 170800
  • 131 + 170669 = 170800
  • 167 + 170633 = 170800
  • 173 + 170627 = 170800
  • 191 + 170609 = 170800

Showing the first eight; more decompositions exist.

Unicode codepoint
𩬰
CJK Unified Ideograph-29B30
U+29B30
Other letter (Lo)

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

Hex color
#029B30
RGB(2, 155, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.155.48.

Address
0.2.155.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.155.48

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 170,800 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 170800 first appears in π at position 268,747 of the decimal expansion (the 268,747ordinal-suffix:th 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°.