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165,104

165,104 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.).

165,104 (one hundred sixty-five thousand one hundred four) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 17 × 607. Its proper divisors sum to 174,160, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x284F0.

Abundant Number Happy Number Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
401,561
Square (n²)
27,259,330,816
Cube (n³)
4,500,624,555,044,864
Divisor count
20
σ(n) — sum of divisors
339,264
φ(n) — Euler's totient
77,568
Sum of prime factors
632

Primality

Prime factorization: 2 4 × 17 × 607

Nearest primes: 165,103 (−1) · 165,133 (+29)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 17 · 34 · 68 · 136 · 272 · 607 · 1214 · 2428 · 4856 · 9712 · 10319 · 20638 · 41276 · 82552 (half) · 165104
Aliquot sum (sum of proper divisors): 174,160
Factor pairs (a × b = 165,104)
1 × 165104
2 × 82552
4 × 41276
8 × 20638
16 × 10319
17 × 9712
34 × 4856
68 × 2428
136 × 1214
272 × 607
First multiples
165,104 · 330,208 (double) · 495,312 · 660,416 · 825,520 · 990,624 · 1,155,728 · 1,320,832 · 1,485,936 · 1,651,040

Sums & aliquot sequence

As consecutive integers: 9,704 + 9,705 + … + 9,720 5,144 + 5,145 + … + 5,175 32 + 33 + … + 575
Aliquot sequence: 165,104 174,160 290,096 271,996 213,356 226,468 205,964 202,612 161,808 256,320 635,220 1,292,160 2,832,720 7,345,200 16,187,768 15,484,312 13,595,048 — unresolved within range

Continued fraction of √n

√165,104 = [406; (3, 32, 5, 1, 3, 2, 2, 1, 1, 1, 5, 5, 1, 3, 14, 1, 1, 16, 14, 1, 2, 1, 1, 24, …)]

Representations

In words
one hundred sixty-five thousand one hundred four
Ordinal
165104th
Binary
101000010011110000
Octal
502360
Hexadecimal
0x284F0
Base64
AoTw
One's complement
4,294,802,191 (32-bit)
Scientific notation
1.65104 × 10⁵
As a duration
165,104 s = 1 day, 21 hours, 51 minutes, 44 seconds
In other bases
ternary (3) 22101110222
quaternary (4) 220103300
quinary (5) 20240404
senary (6) 3312212
septenary (7) 1255232
nonary (9) 271428
undecimal (11) 103055
duodecimal (12) 7b668
tridecimal (13) 5a1c4
tetradecimal (14) 44252
pentadecimal (15) 33dbe

As an angle

165,104° = 458 × 360° + 224°
224° ≈ 3.91 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρξερδʹ
Chinese
一十六萬五千一百零四
Chinese (financial)
壹拾陸萬伍仟壹佰零肆
In other modern scripts
Eastern Arabic ١٦٥١٠٤ Devanagari १६५१०४ Bengali ১৬৫১০৪ Tamil ௧௬௫௧௦௪ Thai ๑๖๕๑๐๔ Tibetan ༡༦༥༡༠༤ Khmer ១៦៥១០៤ Lao ໑໖໕໑໐໔ Burmese ၁၆၅၁၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 165104, here are decompositions:

  • 67 + 165037 = 165104
  • 103 + 165001 = 165104
  • 151 + 164953 = 165104
  • 193 + 164911 = 165104
  • 211 + 164893 = 165104
  • 223 + 164881 = 165104
  • 283 + 164821 = 165104
  • 337 + 164767 = 165104

Showing the first eight; more decompositions exist.

Unicode codepoint
𨓰
CJK Unified Ideograph-284F0
U+284F0
Other letter (Lo)

UTF-8 encoding: F0 A8 93 B0 (4 bytes).

Hex color
#0284F0
RGB(2, 132, 240)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.132.240.

Address
0.2.132.240
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.132.240

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 165,104 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°.