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173,382

173,382 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.).

173,382 (one hundred seventy-three thousand three hundred eighty-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 11 × 37 × 71. Its proper divisors sum to 220,602, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2A546.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
1,008
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
283,371
Recamán's sequence
a(59,240) = 173,382
Square (n²)
30,061,317,924
Cube (n³)
5,212,091,424,298,968
Divisor count
32
σ(n) — sum of divisors
393,984
φ(n) — Euler's totient
50,400
Sum of prime factors
124

Primality

Prime factorization: 2 × 3 × 11 × 37 × 71

Nearest primes: 173,359 (−23) · 173,429 (+47)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 6 · 11 · 22 · 33 · 37 · 66 · 71 · 74 · 111 · 142 · 213 · 222 · 407 · 426 · 781 · 814 · 1221 · 1562 · 2343 · 2442 · 2627 · 4686 · 5254 · 7881 · 15762 · 28897 · 57794 · 86691 (half) · 173382
Aliquot sum (sum of proper divisors): 220,602
Factor pairs (a × b = 173,382)
1 × 173382
2 × 86691
3 × 57794
6 × 28897
11 × 15762
22 × 7881
33 × 5254
37 × 4686
66 × 2627
71 × 2442
74 × 2343
111 × 1562
142 × 1221
213 × 814
222 × 781
407 × 426
First multiples
173,382 · 346,764 (double) · 520,146 · 693,528 · 866,910 · 1,040,292 · 1,213,674 · 1,387,056 · 1,560,438 · 1,733,820

Sums & aliquot sequence

As consecutive integers: 57,793 + 57,794 + 57,795 43,344 + 43,345 + 43,346 + 43,347 15,757 + 15,758 + … + 15,767 14,443 + 14,444 + … + 14,454
Aliquot sequence: 173,382 220,602 220,614 226,938 232,422 232,434 286,266 286,278 286,290 458,298 642,438 785,322 959,958 1,250,442 1,485,174 1,485,186 1,485,198 — unresolved within range

Continued fraction of √n

√173,382 = [416; (2, 1, 1, 4, 5, 2, 1, 2, 4, 2, 3, 1, 3, 1, 1, 13, 1, 3, 1, 276, 1, 3, 1, 13, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
one hundred seventy-three thousand three hundred eighty-two
Ordinal
173382nd
Binary
101010010101000110
Octal
522506
Hexadecimal
0x2A546
Base64
AqVG
One's complement
4,294,793,913 (32-bit)
Scientific notation
1.73382 × 10⁵
As a duration
173,382 s = 2 days, 9 minutes, 42 seconds
In other bases
ternary (3) 22210211120
quaternary (4) 222111012
quinary (5) 21022012
senary (6) 3414410
septenary (7) 1321326
nonary (9) 283746
undecimal (11) 1092a0
duodecimal (12) 84406
tridecimal (13) 60bc1
tetradecimal (14) 47286
pentadecimal (15) 3658c
Palindromic in base 5

As an angle

173,382° = 481 × 360° + 222°
222° ≈ 3.875 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρογτπβʹ
Chinese
一十七萬三千三百八十二
Chinese (financial)
壹拾柒萬參仟參佰捌拾貳
In other modern scripts
Eastern Arabic ١٧٣٣٨٢ Devanagari १७३३८२ Bengali ১৭৩৩৮২ Tamil ௧௭௩௩௮௨ Thai ๑๗๓๓๘๒ Tibetan ༡༧༣༣༨༢ Khmer ១៧៣៣៨២ Lao ໑໗໓໓໘໒ Burmese ၁၇၃၃၈၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 173382, here are decompositions:

  • 23 + 173359 = 173382
  • 73 + 173309 = 173382
  • 89 + 173293 = 173382
  • 109 + 173273 = 173382
  • 163 + 173219 = 173382
  • 173 + 173209 = 173382
  • 191 + 173191 = 173382
  • 193 + 173189 = 173382

Showing the first eight; more decompositions exist.

Unicode codepoint
𪕆
CJK Unified Ideograph-2A546
U+2A546
Other letter (Lo)

UTF-8 encoding: F0 AA 95 86 (4 bytes).

Hex color
#02A546
RGB(2, 165, 70)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.165.70.

Address
0.2.165.70
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.165.70

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 173,382 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°.