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167,272

167,272 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.).

167,272 (one hundred sixty-seven thousand two hundred seventy-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 7 × 29 × 103. Its proper divisors sum to 207,128, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x28D68.

Abundant Number Arithmetic Number Evil Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
1,176
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
272,761
Recamán's sequence
a(471,463) = 167,272
Square (n²)
27,979,921,984
Cube (n³)
4,680,257,510,107,648
Divisor count
32
σ(n) — sum of divisors
374,400
φ(n) — Euler's totient
68,544
Sum of prime factors
145

Primality

Prime factorization: 2 3 × 7 × 29 × 103

Nearest primes: 167,269 (−3) · 167,309 (+37)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 7 · 8 · 14 · 28 · 29 · 56 · 58 · 103 · 116 · 203 · 206 · 232 · 406 · 412 · 721 · 812 · 824 · 1442 · 1624 · 2884 · 2987 · 5768 · 5974 · 11948 · 20909 · 23896 · 41818 · 83636 (half) · 167272
Aliquot sum (sum of proper divisors): 207,128
Factor pairs (a × b = 167,272)
1 × 167272
2 × 83636
4 × 41818
7 × 23896
8 × 20909
14 × 11948
28 × 5974
29 × 5768
56 × 2987
58 × 2884
103 × 1624
116 × 1442
203 × 824
206 × 812
232 × 721
406 × 412
First multiples
167,272 · 334,544 (double) · 501,816 · 669,088 · 836,360 · 1,003,632 · 1,170,904 · 1,338,176 · 1,505,448 · 1,672,720

Sums & aliquot sequence

As consecutive integers: 23,893 + 23,894 + … + 23,899 10,447 + 10,448 + … + 10,462 5,754 + 5,755 + … + 5,782 1,573 + 1,574 + … + 1,675
Aliquot sequence: 167,272 207,128 204,352 218,304 409,076 330,124 247,600 348,220 415,844 440,284 389,580 734,004 1,121,486 565,258 286,970 229,594 114,800 — unresolved within range

Continued fraction of √n

√167,272 = [408; (1, 89, 1, 7, 1, 9, 4, 1, 3, 3, 3, 1, 4, 9, 1, 7, 1, 89, 1, 816)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-seven thousand two hundred seventy-two
Ordinal
167272nd
Binary
101000110101101000
Octal
506550
Hexadecimal
0x28D68
Base64
Ao1o
One's complement
4,294,800,023 (32-bit)
Scientific notation
1.67272 × 10⁵
As a duration
167,272 s = 1 day, 22 hours, 27 minutes, 52 seconds
In other bases
ternary (3) 22111110021
quaternary (4) 220311220
quinary (5) 20323042
senary (6) 3330224
septenary (7) 1264450
nonary (9) 274407
undecimal (11) 104746
duodecimal (12) 80974
tridecimal (13) 5b1a1
tetradecimal (14) 44d60
pentadecimal (15) 34867

As an angle

167,272° = 464 × 360° + 232°
232° ≈ 4.049 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρξζσοβʹ
Chinese
一十六萬七千二百七十二
Chinese (financial)
壹拾陸萬柒仟貳佰柒拾貳
In other modern scripts
Eastern Arabic ١٦٧٢٧٢ Devanagari १६७२७२ Bengali ১৬৭২৭২ Tamil ௧௬௭௨௭௨ Thai ๑๖๗๒๗๒ Tibetan ༡༦༧༢༧༢ Khmer ១៦៧២៧២ Lao ໑໖໗໒໗໒ Burmese ၁၆၇၂၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 167272, here are decompositions:

  • 3 + 167269 = 167272
  • 5 + 167267 = 167272
  • 11 + 167261 = 167272
  • 23 + 167249 = 167272
  • 59 + 167213 = 167272
  • 113 + 167159 = 167272
  • 173 + 167099 = 167272
  • 191 + 167081 = 167272

Showing the first eight; more decompositions exist.

Unicode codepoint
𨵨
CJK Unified Ideograph-28D68
U+28D68
Other letter (Lo)

UTF-8 encoding: F0 A8 B5 A8 (4 bytes).

Hex color
#028D68
RGB(2, 141, 104)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.141.104.

Address
0.2.141.104
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.141.104

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 167,272 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°.