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167,104

167,104 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.).

167,104 (one hundred sixty-seven thousand one hundred four) is an even 6-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 7 × 373. Its proper divisors sum to 212,880, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x28CC0.

Abundant Number Evil Number Gapful Number Happy Number Practical Number Recamán's Sequence Refactorable 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
401,761
Recamán's sequence
a(471,799) = 167,104
Square (n²)
27,923,746,816
Cube (n³)
4,666,169,787,940,864
Divisor count
28
σ(n) — sum of divisors
379,984
φ(n) — Euler's totient
71,424
Sum of prime factors
392

Primality

Prime factorization: 2 6 × 7 × 373

Nearest primes: 167,099 (−5) · 167,107 (+3)

Divisors & multiples

All divisors (28)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 32 · 56 · 64 · 112 · 224 · 373 · 448 · 746 · 1492 · 2611 · 2984 · 5222 · 5968 · 10444 · 11936 · 20888 · 23872 · 41776 · 83552 (half) · 167104
Aliquot sum (sum of proper divisors): 212,880
Factor pairs (a × b = 167,104)
1 × 167104
2 × 83552
4 × 41776
7 × 23872
8 × 20888
14 × 11936
16 × 10444
28 × 5968
32 × 5222
56 × 2984
64 × 2611
112 × 1492
224 × 746
373 × 448
First multiples
167,104 · 334,208 (double) · 501,312 · 668,416 · 835,520 · 1,002,624 · 1,169,728 · 1,336,832 · 1,503,936 · 1,671,040

Sums & aliquot sequence

As a sum of two cubes: 9³ + 55³
As consecutive integers: 23,869 + 23,870 + … + 23,875 1,242 + 1,243 + … + 1,369 262 + 263 + … + 634
Aliquot sequence: 167,104 212,880 447,792 772,368 1,223,040 3,660,720 9,314,640 23,850,648 40,745,052 72,150,948 110,489,692 84,099,948 112,133,292 165,695,700 315,037,420 346,541,204 259,905,910 — unresolved within range

Continued fraction of √n

√167,104 = [408; (1, 3, 1, 1, 1, 1, 1, 2, 1, 1, 1, 22, 12, 1, 13, 1, 16, 10, 29, 10, 16, 1, 13, 1, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-seven thousand one hundred four
Ordinal
167104th
Binary
101000110011000000
Octal
506300
Hexadecimal
0x28CC0
Base64
AozA
One's complement
4,294,800,191 (32-bit)
Scientific notation
1.67104 × 10⁵
As a duration
167,104 s = 1 day, 22 hours, 25 minutes, 4 seconds
In other bases
ternary (3) 22111020001
quaternary (4) 220303000
quinary (5) 20321404
senary (6) 3325344
septenary (7) 1264120
nonary (9) 274201
undecimal (11) 104603
duodecimal (12) 80854
tridecimal (13) 5b0a2
tetradecimal (14) 44c80
pentadecimal (15) 347a4

As an angle

167,104° = 464 × 360° + 64°
64° ≈ 1.117 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρξζρδʹ
Chinese
一十六萬七千一百零四
Chinese (financial)
壹拾陸萬柒仟壹佰零肆
In other modern scripts
Eastern Arabic ١٦٧١٠٤ Devanagari १६७१०४ Bengali ১৬৭১০৪ Tamil ௧௬௭௧௦௪ Thai ๑๖๗๑๐๔ Tibetan ༡༦༧༡༠༤ Khmer ១៦៧១០៤ Lao ໑໖໗໑໐໔ Burmese ၁၆၇၁၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 167104, here are decompositions:

  • 5 + 167099 = 167104
  • 17 + 167087 = 167104
  • 23 + 167081 = 167104
  • 53 + 167051 = 167104
  • 71 + 167033 = 167104
  • 83 + 167021 = 167104
  • 131 + 166973 = 167104
  • 137 + 166967 = 167104

Showing the first eight; more decompositions exist.

Unicode codepoint
𨳀
CJK Unified Ideograph-28Cc0
U+28CC0
Other letter (Lo)

UTF-8 encoding: F0 A8 B3 80 (4 bytes).

Hex color
#028CC0
RGB(2, 140, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.140.192.

Address
0.2.140.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.140.192

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 167,104 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°.