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173,008

173,008 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.).

173,008 (one hundred seventy-three thousand eight) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 11 × 983. Its proper divisors sum to 193,040, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2A3D0.

Abundant Number Evil Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
800,371
Square (n²)
29,931,768,064
Cube (n³)
5,178,435,329,216,512
Divisor count
20
σ(n) — sum of divisors
366,048
φ(n) — Euler's totient
78,560
Sum of prime factors
1,002

Primality

Prime factorization: 2 4 × 11 × 983

Nearest primes: 172,999 (−9) · 173,021 (+13)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 11 · 16 · 22 · 44 · 88 · 176 · 983 · 1966 · 3932 · 7864 · 10813 · 15728 · 21626 · 43252 · 86504 (half) · 173008
Aliquot sum (sum of proper divisors): 193,040
Factor pairs (a × b = 173,008)
1 × 173008
2 × 86504
4 × 43252
8 × 21626
11 × 15728
16 × 10813
22 × 7864
44 × 3932
88 × 1966
176 × 983
First multiples
173,008 · 346,016 (double) · 519,024 · 692,032 · 865,040 · 1,038,048 · 1,211,056 · 1,384,064 · 1,557,072 · 1,730,080

Sums & aliquot sequence

As consecutive integers: 15,723 + 15,724 + … + 15,733 5,391 + 5,392 + … + 5,422 316 + 317 + … + 667
Aliquot sequence: 173,008 193,040 283,120 375,320 547,000 735,320 975,400 1,292,870 1,034,314 666,686 365,698 189,710 158,482 79,244 72,124 72,916 54,694 — unresolved within range

Continued fraction of √n

√173,008 = [415; (1, 16, 3, 92, 9, 1, 1, 4, 2, 1, 1, 9, 1, 2, 9, 4, 1, 1, 2, 5, 4, 2, 1, 3, …)]

Representations

In words
one hundred seventy-three thousand eight
Ordinal
173008th
Binary
101010001111010000
Octal
521720
Hexadecimal
0x2A3D0
Base64
AqPQ
One's complement
4,294,794,287 (32-bit)
Scientific notation
1.73008 × 10⁵
As a duration
173,008 s = 2 days, 3 minutes, 28 seconds
In other bases
ternary (3) 22210022201
quaternary (4) 222033100
quinary (5) 21014013
senary (6) 3412544
septenary (7) 1320253
nonary (9) 283281
undecimal (11) 108a90
duodecimal (12) 84154
tridecimal (13) 60994
tetradecimal (14) 4709a
pentadecimal (15) 363dd

As an angle

173,008° = 480 × 360° + 208°
208° ≈ 3.63 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρογηʹ
Chinese
一十七萬三千零八
Chinese (financial)
壹拾柒萬參仟零捌
In other modern scripts
Eastern Arabic ١٧٣٠٠٨ Devanagari १७३००८ Bengali ১৭৩০০৮ Tamil ௧௭௩௦௦௮ Thai ๑๗๓๐๐๘ Tibetan ༡༧༣༠༠༨ Khmer ១៧៣០០៨ Lao ໑໗໓໐໐໘ Burmese ၁၇၃၀၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 173008, here are decompositions:

  • 131 + 172877 = 173008
  • 137 + 172871 = 173008
  • 149 + 172859 = 173008
  • 179 + 172829 = 173008
  • 257 + 172751 = 173008
  • 359 + 172649 = 173008
  • 389 + 172619 = 173008
  • 401 + 172607 = 173008

Showing the first eight; more decompositions exist.

Unicode codepoint
𪏐
CJK Unified Ideograph-2A3D0
U+2A3D0
Other letter (Lo)

UTF-8 encoding: F0 AA 8F 90 (4 bytes).

Hex color
#02A3D0
RGB(2, 163, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.163.208.

Address
0.2.163.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.163.208

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 173,008 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 173008 first appears in π at position 634,435 of the decimal expansion (the 634,435ordinal-suffix:th 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°.