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173,352

173,352 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.).

173,352 (one hundred seventy-three thousand three hundred fifty-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 31 × 233. Its proper divisors sum to 275,928, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2A528.

Abundant Number Arithmetic Number Gapful Number Happy Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Smith Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
630
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
253,371
Recamán's sequence
a(59,300) = 173,352
Square (n²)
30,050,915,904
Cube (n³)
5,209,386,373,790,208
Divisor count
32
σ(n) — sum of divisors
449,280
φ(n) — Euler's totient
55,680
Sum of prime factors
273

Primality

Prime factorization: 2 3 × 3 × 31 × 233

Nearest primes: 173,347 (−5) · 173,357 (+5)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 31 · 62 · 93 · 124 · 186 · 233 · 248 · 372 · 466 · 699 · 744 · 932 · 1398 · 1864 · 2796 · 5592 · 7223 · 14446 · 21669 · 28892 · 43338 · 57784 · 86676 (half) · 173352
Aliquot sum (sum of proper divisors): 275,928
Factor pairs (a × b = 173,352)
1 × 173352
2 × 86676
3 × 57784
4 × 43338
6 × 28892
8 × 21669
12 × 14446
24 × 7223
31 × 5592
62 × 2796
93 × 1864
124 × 1398
186 × 932
233 × 744
248 × 699
372 × 466
First multiples
173,352 · 346,704 (double) · 520,056 · 693,408 · 866,760 · 1,040,112 · 1,213,464 · 1,386,816 · 1,560,168 · 1,733,520

Sums & aliquot sequence

As consecutive integers: 57,783 + 57,784 + 57,785 10,827 + 10,828 + … + 10,842 5,577 + 5,578 + … + 5,607 3,588 + 3,589 + … + 3,635
Aliquot sequence: 173,352 275,928 413,952 984,144 2,051,376 3,248,136 5,632,164 8,754,936 13,242,504 23,298,936 34,948,464 60,648,096 98,553,408 163,440,480 435,538,320 1,120,076,400 2,467,905,512 — unresolved within range

Continued fraction of √n

√173,352 = [416; (2, 1, 4, 3, 7, 1, 2, 3, 2, 24, 1, 3, 1, 28, 1, 16, 36, 6, 1, 5, 1, 6, 36, 16, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
one hundred seventy-three thousand three hundred fifty-two
Ordinal
173352nd
Binary
101010010100101000
Octal
522450
Hexadecimal
0x2A528
Base64
AqUo
One's complement
4,294,793,943 (32-bit)
Scientific notation
1.73352 × 10⁵
As a duration
173,352 s = 2 days, 9 minutes, 12 seconds
In other bases
ternary (3) 22210210110
quaternary (4) 222110220
quinary (5) 21021402
senary (6) 3414320
septenary (7) 1321254
nonary (9) 283713
undecimal (11) 109273
duodecimal (12) 843a0
tridecimal (13) 60b9a
tetradecimal (14) 47264
pentadecimal (15) 3656c

As an angle

173,352° = 481 × 360° + 192°
192° ≈ 3.351 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρογτνβʹ
Chinese
一十七萬三千三百五十二
Chinese (financial)
壹拾柒萬參仟參佰伍拾貳
In other modern scripts
Eastern Arabic ١٧٣٣٥٢ Devanagari १७३३५२ Bengali ১৭৩৩৫২ Tamil ௧௭௩௩௫௨ Thai ๑๗๓๓๕๒ Tibetan ༡༧༣༣༥༢ Khmer ១៧៣៣៥២ Lao ໑໗໓໓໕໒ Burmese ၁၇၃၃၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 173352, here are decompositions:

  • 5 + 173347 = 173352
  • 43 + 173309 = 173352
  • 59 + 173293 = 173352
  • 61 + 173291 = 173352
  • 79 + 173273 = 173352
  • 89 + 173263 = 173352
  • 103 + 173249 = 173352
  • 163 + 173189 = 173352

Showing the first eight; more decompositions exist.

Unicode codepoint
𪔨
CJK Unified Ideograph-2A528
U+2A528
Other letter (Lo)

UTF-8 encoding: F0 AA 94 A8 (4 bytes).

Hex color
#02A528
RGB(2, 165, 40)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.165.40.

Address
0.2.165.40
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.165.40

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 173,352 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°.