number.wiki
Live analysis

173,040

173,040 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.).

173,040 (one hundred seventy-three thousand forty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5 × 7 × 103. Its proper divisors sum to 445,968, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2A3F0.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
40,371
Square (n²)
29,942,841,600
Cube (n³)
5,181,309,310,464,000
Divisor count
80
σ(n) — sum of divisors
619,008
φ(n) — Euler's totient
39,168
Sum of prime factors
126

Primality

Prime factorization: 2 4 × 3 × 5 × 7 × 103

Nearest primes: 173,039 (−1) · 173,053 (+13)

Divisors & multiples

All divisors (80)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 16 · 20 · 21 · 24 · 28 · 30 · 35 · 40 · 42 · 48 · 56 · 60 · 70 · 80 · 84 · 103 · 105 · 112 · 120 · 140 · 168 · 206 · 210 · 240 · 280 · 309 · 336 · 412 · 420 · 515 · 560 · 618 · 721 · 824 · 840 · 1030 · 1236 · 1442 · 1545 · 1648 · 1680 · 2060 · 2163 · 2472 · 2884 · 3090 · 3605 · 4120 · 4326 · 4944 · 5768 · 6180 · 7210 · 8240 · 8652 · 10815 · 11536 · 12360 · 14420 · 17304 · 21630 · 24720 · 28840 · 34608 · 43260 · 57680 · 86520 (half) · 173040
Aliquot sum (sum of proper divisors): 445,968
Factor pairs (a × b = 173,040)
1 × 173040
2 × 86520
3 × 57680
4 × 43260
5 × 34608
6 × 28840
7 × 24720
8 × 21630
10 × 17304
12 × 14420
14 × 12360
15 × 11536
16 × 10815
20 × 8652
21 × 8240
24 × 7210
28 × 6180
30 × 5768
35 × 4944
40 × 4326
42 × 4120
48 × 3605
56 × 3090
60 × 2884
70 × 2472
80 × 2163
84 × 2060
103 × 1680
105 × 1648
112 × 1545
120 × 1442
140 × 1236
168 × 1030
206 × 840
210 × 824
240 × 721
280 × 618
309 × 560
336 × 515
412 × 420
First multiples
173,040 · 346,080 (double) · 519,120 · 692,160 · 865,200 · 1,038,240 · 1,211,280 · 1,384,320 · 1,557,360 · 1,730,400

Sums & aliquot sequence

As consecutive integers: 57,679 + 57,680 + 57,681 34,606 + 34,607 + 34,608 + 34,609 + 34,610 24,717 + 24,718 + … + 24,723 11,529 + 11,530 + … + 11,543
Aliquot sequence: 173,040 445,968 875,872 872,000 1,307,320 2,386,280 3,444,100 5,055,356 4,245,124 3,755,400 8,967,000 24,111,240 48,222,840 100,369,320 210,463,320 421,881,000 894,397,080 — unresolved within range

Continued fraction of √n

√173,040 = [415; (1, 50, 1, 830)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred seventy-three thousand forty
Ordinal
173040th
Binary
101010001111110000
Octal
521760
Hexadecimal
0x2A3F0
Base64
AqPw
One's complement
4,294,794,255 (32-bit)
Scientific notation
1.7304 × 10⁵
As a duration
173,040 s = 2 days, 4 minutes
In other bases
ternary (3) 22210100220
quaternary (4) 222033300
quinary (5) 21014130
senary (6) 3413040
septenary (7) 1320330
nonary (9) 283326
undecimal (11) 10900a
duodecimal (12) 84180
tridecimal (13) 609ba
tetradecimal (14) 470c0
pentadecimal (15) 36410

As an angle

173,040° = 480 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρογμʹ
Chinese
一十七萬三千零四十
Chinese (financial)
壹拾柒萬參仟零肆拾
In other modern scripts
Eastern Arabic ١٧٣٠٤٠ Devanagari १७३०४० Bengali ১৭৩০৪০ Tamil ௧௭௩௦௪௦ Thai ๑๗๓๐๔๐ Tibetan ༡༧༣༠༤༠ Khmer ១៧៣០៤០ Lao ໑໗໓໐໔໐ Burmese ၁၇၃၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 173040, here are decompositions:

  • 17 + 173023 = 173040
  • 19 + 173021 = 173040
  • 41 + 172999 = 173040
  • 47 + 172993 = 173040
  • 53 + 172987 = 173040
  • 59 + 172981 = 173040
  • 67 + 172973 = 173040
  • 71 + 172969 = 173040

Showing the first eight; more decompositions exist.

Unicode codepoint
𪏰
CJK Unified Ideograph-2A3F0
U+2A3F0
Other letter (Lo)

UTF-8 encoding: F0 AA 8F B0 (4 bytes).

Hex color
#02A3F0
RGB(2, 163, 240)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.163.240.

Address
0.2.163.240
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.163.240

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 173,040 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 173040 first appears in π at position 507,861 of the decimal expansion (the 507,861ordinal-suffix:st 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°.