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173,420

173,420 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.).

173,420 (one hundred seventy-three thousand four hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 5 × 13 × 23 × 29. Its proper divisors sum to 249,940, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2A56C.

Abundant Number Arithmetic Number Cube-Free Gapful Number Happy Number Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
24,371
Recamán's sequence
a(59,164) = 173,420
Square (n²)
30,074,496,400
Cube (n³)
5,215,519,165,688,000
Divisor count
48
σ(n) — sum of divisors
423,360
φ(n) — Euler's totient
59,136
Sum of prime factors
74

Primality

Prime factorization: 2 2 × 5 × 13 × 23 × 29

Nearest primes: 173,359 (−61) · 173,429 (+9)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 5 · 10 · 13 · 20 · 23 · 26 · 29 · 46 · 52 · 58 · 65 · 92 · 115 · 116 · 130 · 145 · 230 · 260 · 290 · 299 · 377 · 460 · 580 · 598 · 667 · 754 · 1196 · 1334 · 1495 · 1508 · 1885 · 2668 · 2990 · 3335 · 3770 · 5980 · 6670 · 7540 · 8671 · 13340 · 17342 · 34684 · 43355 · 86710 (half) · 173420
Aliquot sum (sum of proper divisors): 249,940
Factor pairs (a × b = 173,420)
1 × 173420
2 × 86710
4 × 43355
5 × 34684
10 × 17342
13 × 13340
20 × 8671
23 × 7540
26 × 6670
29 × 5980
46 × 3770
52 × 3335
58 × 2990
65 × 2668
92 × 1885
115 × 1508
116 × 1495
130 × 1334
145 × 1196
230 × 754
260 × 667
290 × 598
299 × 580
377 × 460
First multiples
173,420 · 346,840 (double) · 520,260 · 693,680 · 867,100 · 1,040,520 · 1,213,940 · 1,387,360 · 1,560,780 · 1,734,200

Sums & aliquot sequence

As consecutive integers: 34,682 + 34,683 + 34,684 + 34,685 + 34,686 21,674 + 21,675 + … + 21,681 13,334 + 13,335 + … + 13,346 7,529 + 7,530 + … + 7,551
Aliquot sequence: 173,420 249,940 274,976 308,908 250,532 187,906 100,094 50,050 74,942 57,250 50,390 40,330 34,910 27,946 14,714 10,534 6,026 — unresolved within range

Continued fraction of √n

√173,420 = [416; (2, 3, 2, 16, 1, 1, 3, 1, 2, 28, 2, 1, 3, 1, 1, 16, 2, 3, 2, 832)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred seventy-three thousand four hundred twenty
Ordinal
173420th
Binary
101010010101101100
Octal
522554
Hexadecimal
0x2A56C
Base64
AqVs
One's complement
4,294,793,875 (32-bit)
Scientific notation
1.7342 × 10⁵
As a duration
173,420 s = 2 days, 10 minutes, 20 seconds
In other bases
ternary (3) 22210212222
quaternary (4) 222111230
quinary (5) 21022140
senary (6) 3414512
septenary (7) 1321412
nonary (9) 283788
undecimal (11) 109325
duodecimal (12) 84438
tridecimal (13) 60c20
tetradecimal (14) 472b2
pentadecimal (15) 365b5

As an angle

173,420° = 481 × 360° + 260°
260° ≈ 4.538 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρογυκʹ
Chinese
一十七萬三千四百二十
Chinese (financial)
壹拾柒萬參仟肆佰貳拾
In other modern scripts
Eastern Arabic ١٧٣٤٢٠ Devanagari १७३४२० Bengali ১৭৩৪২০ Tamil ௧௭௩௪௨௦ Thai ๑๗๓๔๒๐ Tibetan ༡༧༣༤༢༠ Khmer ១៧៣៤២០ Lao ໑໗໓໔໒໐ Burmese ၁၇၃၄၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 173420, here are decompositions:

  • 61 + 173359 = 173420
  • 73 + 173347 = 173420
  • 127 + 173293 = 173420
  • 157 + 173263 = 173420
  • 211 + 173209 = 173420
  • 229 + 173191 = 173420
  • 271 + 173149 = 173420
  • 283 + 173137 = 173420

Showing the first eight; more decompositions exist.

Unicode codepoint
𪕬
CJK Unified Ideograph-2A56C
U+2A56C
Other letter (Lo)

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

Hex color
#02A56C
RGB(2, 165, 108)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.165.108.

Address
0.2.165.108
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.165.108

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 173,420 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°.