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167,072

167,072 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.).

167,072 (one hundred sixty-seven thousand seventy-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 23 × 227. Its proper divisors sum to 177,664, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x28CA0.

Abundant Number Arithmetic Number Evil Number Happy Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
270,761
Recamán's sequence
a(471,863) = 167,072
Square (n²)
27,913,053,184
Cube (n³)
4,663,489,621,557,248
Divisor count
24
σ(n) — sum of divisors
344,736
φ(n) — Euler's totient
79,552
Sum of prime factors
260

Primality

Prime factorization: 2 5 × 23 × 227

Nearest primes: 167,071 (−1) · 167,077 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 8 · 16 · 23 · 32 · 46 · 92 · 184 · 227 · 368 · 454 · 736 · 908 · 1816 · 3632 · 5221 · 7264 · 10442 · 20884 · 41768 · 83536 (half) · 167072
Aliquot sum (sum of proper divisors): 177,664
Factor pairs (a × b = 167,072)
1 × 167072
2 × 83536
4 × 41768
8 × 20884
16 × 10442
23 × 7264
32 × 5221
46 × 3632
92 × 1816
184 × 908
227 × 736
368 × 454
First multiples
167,072 · 334,144 (double) · 501,216 · 668,288 · 835,360 · 1,002,432 · 1,169,504 · 1,336,576 · 1,503,648 · 1,670,720

Sums & aliquot sequence

As consecutive integers: 7,253 + 7,254 + … + 7,275 2,579 + 2,580 + … + 2,642 623 + 624 + … + 849
Aliquot sequence: 167,072 177,664 178,340 207,892 155,926 82,538 41,272 56,648 52,132 39,106 19,556 14,674 11,246 5,626 3,194 1,600 2,337 — unresolved within range

Continued fraction of √n

√167,072 = [408; (1, 2, 1, 10, 2, 4, 2, 1, 3, 1, 1, 2, 3, 1, 2, 1, 1, 6, 5, 1, 1, 3, 2, 1, …)]

Representations

In words
one hundred sixty-seven thousand seventy-two
Ordinal
167072nd
Binary
101000110010100000
Octal
506240
Hexadecimal
0x28CA0
Base64
Aoyg
One's complement
4,294,800,223 (32-bit)
Scientific notation
1.67072 × 10⁵
As a duration
167,072 s = 1 day, 22 hours, 24 minutes, 32 seconds
In other bases
ternary (3) 22111011212
quaternary (4) 220302200
quinary (5) 20321242
senary (6) 3325252
septenary (7) 1264043
nonary (9) 274155
undecimal (11) 104584
duodecimal (12) 80828
tridecimal (13) 5b079
tetradecimal (14) 44c5a
pentadecimal (15) 34782

As an angle

167,072° = 464 × 360° + 32°
32° ≈ 0.559 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρξζοβʹ
Chinese
一十六萬七千零七十二
Chinese (financial)
壹拾陸萬柒仟零柒拾貳
In other modern scripts
Eastern Arabic ١٦٧٠٧٢ Devanagari १६७०७२ Bengali ১৬৭০৭২ Tamil ௧௬௭௦௭௨ Thai ๑๖๗๐๗๒ Tibetan ༡༦༧༠༧༢ Khmer ១៦៧០៧២ Lao ໑໖໗໐໗໒ Burmese ၁၆၇၀၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 167072, here are decompositions:

  • 163 + 166909 = 167072
  • 211 + 166861 = 167072
  • 223 + 166849 = 167072
  • 229 + 166843 = 167072
  • 331 + 166741 = 167072
  • 349 + 166723 = 167072
  • 379 + 166693 = 167072
  • 463 + 166609 = 167072

Showing the first eight; more decompositions exist.

Unicode codepoint
𨲠
CJK Unified Ideograph-28Ca0
U+28CA0
Other letter (Lo)

UTF-8 encoding: F0 A8 B2 A0 (4 bytes).

Hex color
#028CA0
RGB(2, 140, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.140.160.

Address
0.2.140.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.140.160

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 167,072 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°.