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173,160

173,160 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.).

173,160 (one hundred seventy-three thousand one hundred sixty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3² × 5 × 13 × 37. Its proper divisors sum to 449,280, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2A468.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
61,371
Square (n²)
29,984,385,600
Cube (n³)
5,192,096,210,496,000
Divisor count
96
σ(n) — sum of divisors
622,440
φ(n) — Euler's totient
41,472
Sum of prime factors
67

Primality

Prime factorization: 2 3 × 3 2 × 5 × 13 × 37

Nearest primes: 173,149 (−11) · 173,177 (+17)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 13 · 15 · 18 · 20 · 24 · 26 · 30 · 36 · 37 · 39 · 40 · 45 · 52 · 60 · 65 · 72 · 74 · 78 · 90 · 104 · 111 · 117 · 120 · 130 · 148 · 156 · 180 · 185 · 195 · 222 · 234 · 260 · 296 · 312 · 333 · 360 · 370 · 390 · 444 · 468 · 481 · 520 · 555 · 585 · 666 · 740 · 780 · 888 · 936 · 962 · 1110 · 1170 · 1332 · 1443 · 1480 · 1560 · 1665 · 1924 · 2220 · 2340 · 2405 · 2664 · 2886 · 3330 · 3848 · 4329 · 4440 · 4680 · 4810 · 5772 · 6660 · 7215 · 8658 · 9620 · 11544 · 13320 · 14430 · 17316 · 19240 · 21645 · 28860 · 34632 · 43290 · 57720 · 86580 (half) · 173160
Aliquot sum (sum of proper divisors): 449,280
Factor pairs (a × b = 173,160)
1 × 173160
2 × 86580
3 × 57720
4 × 43290
5 × 34632
6 × 28860
8 × 21645
9 × 19240
10 × 17316
12 × 14430
13 × 13320
15 × 11544
18 × 9620
20 × 8658
24 × 7215
26 × 6660
30 × 5772
36 × 4810
37 × 4680
39 × 4440
40 × 4329
45 × 3848
52 × 3330
60 × 2886
65 × 2664
72 × 2405
74 × 2340
78 × 2220
90 × 1924
104 × 1665
111 × 1560
117 × 1480
120 × 1443
130 × 1332
148 × 1170
156 × 1110
180 × 962
185 × 936
195 × 888
222 × 780
234 × 740
260 × 666
296 × 585
312 × 555
333 × 520
360 × 481
370 × 468
390 × 444
First multiples
173,160 · 346,320 (double) · 519,480 · 692,640 · 865,800 · 1,038,960 · 1,212,120 · 1,385,280 · 1,558,440 · 1,731,600

Sums & aliquot sequence

As a sum of two squares: 42² + 414² = 174² + 378² = 198² + 366² = 282² + 306²
As consecutive integers: 57,719 + 57,720 + 57,721 34,630 + 34,631 + 34,632 + 34,633 + 34,634 19,236 + 19,237 + … + 19,244 13,314 + 13,315 + … + 13,326
Aliquot sequence: 173,160 449,280 1,267,680 2,965,920 6,686,688 10,866,120 24,523,320 49,047,000 103,989,000 239,710,200 560,595,720 1,136,660,280 2,851,218,120 5,702,436,600 14,690,901,000 — keeps growing

Continued fraction of √n

√173,160 = [416; (8, 832)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one hundred seventy-three thousand one hundred sixty
Ordinal
173160th
Binary
101010010001101000
Octal
522150
Hexadecimal
0x2A468
Base64
AqRo
One's complement
4,294,794,135 (32-bit)
Scientific notation
1.7316 × 10⁵
As a duration
173,160 s = 2 days, 6 minutes
In other bases
ternary (3) 22210112100
quaternary (4) 222101220
quinary (5) 21020120
senary (6) 3413400
septenary (7) 1320561
nonary (9) 283470
undecimal (11) 109109
duodecimal (12) 84260
tridecimal (13) 60a80
tetradecimal (14) 47168
pentadecimal (15) 36490

As an angle

173,160° = 481 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρογρξʹ
Chinese
一十七萬三千一百六十
Chinese (financial)
壹拾柒萬參仟壹佰陸拾
In other modern scripts
Eastern Arabic ١٧٣١٦٠ Devanagari १७३१६० Bengali ১৭৩১৬০ Tamil ௧௭௩௧௬௦ Thai ๑๗๓๑๖๐ Tibetan ༡༧༣༡༦༠ Khmer ១៧៣១៦០ Lao ໑໗໓໑໖໐ Burmese ၁၇၃၁၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 173160, here are decompositions:

  • 11 + 173149 = 173160
  • 19 + 173141 = 173160
  • 23 + 173137 = 173160
  • 61 + 173099 = 173160
  • 73 + 173087 = 173160
  • 79 + 173081 = 173160
  • 101 + 173059 = 173160
  • 107 + 173053 = 173160

Showing the first eight; more decompositions exist.

Unicode codepoint
𪑨
CJK Unified Ideograph-2A468
U+2A468
Other letter (Lo)

UTF-8 encoding: F0 AA 91 A8 (4 bytes).

Hex color
#02A468
RGB(2, 164, 104)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.164.104.

Address
0.2.164.104
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.164.104

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 173,160 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 173160 first appears in π at position 731,963 of the decimal expansion (the 731,963ordinal-suffix:rd 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°.