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173,120

173,120 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.).

173,120 (one hundred seventy-three thousand one hundred twenty) is an even 6-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 5 × 541. Its proper divisors sum to 239,884, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2A440.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
21,371
Square (n²)
29,970,534,400
Cube (n³)
5,188,498,915,328,000
Divisor count
28
σ(n) — sum of divisors
413,004
φ(n) — Euler's totient
69,120
Sum of prime factors
558

Primality

Prime factorization: 2 6 × 5 × 541

Nearest primes: 173,099 (−21) · 173,137 (+17)

Divisors & multiples

All divisors (28)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 64 · 80 · 160 · 320 · 541 · 1082 · 2164 · 2705 · 4328 · 5410 · 8656 · 10820 · 17312 · 21640 · 34624 · 43280 · 86560 (half) · 173120
Aliquot sum (sum of proper divisors): 239,884
Factor pairs (a × b = 173,120)
1 × 173120
2 × 86560
4 × 43280
5 × 34624
8 × 21640
10 × 17312
16 × 10820
20 × 8656
32 × 5410
40 × 4328
64 × 2705
80 × 2164
160 × 1082
320 × 541
First multiples
173,120 · 346,240 (double) · 519,360 · 692,480 · 865,600 · 1,038,720 · 1,211,840 · 1,384,960 · 1,558,080 · 1,731,200

Sums & aliquot sequence

As a sum of two squares: 8² + 416² = 256² + 328²
As consecutive integers: 34,622 + 34,623 + 34,624 + 34,625 + 34,626 1,289 + 1,290 + … + 1,416 50 + 51 + … + 590
Aliquot sequence: 173,120 239,884 179,920 273,176 239,044 211,560 453,720 986,280 1,972,920 4,105,320 8,211,000 24,137,160 49,320,120 98,640,600 217,745,400 468,817,800 1,128,579,960 — unresolved within range

Continued fraction of √n

√173,120 = [416; (13, 832)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one hundred seventy-three thousand one hundred twenty
Ordinal
173120th
Binary
101010010001000000
Octal
522100
Hexadecimal
0x2A440
Base64
AqRA
One's complement
4,294,794,175 (32-bit)
Scientific notation
1.7312 × 10⁵
As a duration
173,120 s = 2 days, 5 minutes, 20 seconds
In other bases
ternary (3) 22210110212
quaternary (4) 222101000
quinary (5) 21014440
senary (6) 3413252
septenary (7) 1320503
nonary (9) 283425
undecimal (11) 109082
duodecimal (12) 84228
tridecimal (13) 60a4c
tetradecimal (14) 4713a
pentadecimal (15) 36465

As an angle

173,120° = 480 × 360° + 320°
320° ≈ 5.585 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓎆
Greek (Milesian)
͵ρογρκʹ
Chinese
一十七萬三千一百二十
Chinese (financial)
壹拾柒萬參仟壹佰貳拾
In other modern scripts
Eastern Arabic ١٧٣١٢٠ Devanagari १७३१२० Bengali ১৭৩১২০ Tamil ௧௭௩௧௨௦ Thai ๑๗๓๑๒๐ Tibetan ༡༧༣༡༢༠ Khmer ១៧៣១២០ Lao ໑໗໓໑໒໐ Burmese ၁၇၃၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 173120, here are decompositions:

  • 61 + 173059 = 173120
  • 67 + 173053 = 173120
  • 97 + 173023 = 173120
  • 127 + 172993 = 173120
  • 139 + 172981 = 173120
  • 151 + 172969 = 173120
  • 271 + 172849 = 173120
  • 313 + 172807 = 173120

Showing the first eight; more decompositions exist.

Unicode codepoint
𪑀
CJK Unified Ideograph-2A440
U+2A440
Other letter (Lo)

UTF-8 encoding: F0 AA 91 80 (4 bytes).

Hex color
#02A440
RGB(2, 164, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.164.64.

Address
0.2.164.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.164.64

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 173,120 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 173120 first appears in π at position 643,294 of the decimal expansion (the 643,294ordinal-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°.