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165,165

165,165 is a composite number, odd.

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.).

165,165 (one hundred sixty-five thousand one hundred sixty-five) is an odd 6-digit number. It is a composite number with 48 divisors, and factors as 3 × 5 × 7 × 11² × 13. Its proper divisors sum to 192,339, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2852D.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Semiperfect Number

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
24
Digit product
900
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
561,561
Square (n²)
27,279,477,225
Cube (n³)
4,505,614,855,867,125
Divisor count
48
σ(n) — sum of divisors
357,504
φ(n) — Euler's totient
63,360
Sum of prime factors
50

Primality

Prime factorization: 3 × 5 × 7 × 11 2 × 13

Nearest primes: 165,161 (−4) · 165,173 (+8)

Divisors & multiples

All divisors (48)
1 · 3 · 5 · 7 · 11 · 13 · 15 · 21 · 33 · 35 · 39 · 55 · 65 · 77 · 91 · 105 · 121 · 143 · 165 · 195 · 231 · 273 · 363 · 385 · 429 · 455 · 605 · 715 · 847 · 1001 · 1155 · 1365 · 1573 · 1815 · 2145 · 2541 · 3003 · 4235 · 4719 · 5005 · 7865 · 11011 · 12705 · 15015 · 23595 · 33033 · 55055 · 165165
Aliquot sum (sum of proper divisors): 192,339
Factor pairs (a × b = 165,165)
1 × 165165
3 × 55055
5 × 33033
7 × 23595
11 × 15015
13 × 12705
15 × 11011
21 × 7865
33 × 5005
35 × 4719
39 × 4235
55 × 3003
65 × 2541
77 × 2145
91 × 1815
105 × 1573
121 × 1365
143 × 1155
165 × 1001
195 × 847
231 × 715
273 × 605
363 × 455
385 × 429
First multiples
165,165 · 330,330 (double) · 495,495 · 660,660 · 825,825 · 990,990 · 1,156,155 · 1,321,320 · 1,486,485 · 1,651,650

Sums & aliquot sequence

As consecutive integers: 82,582 + 82,583 55,054 + 55,055 + 55,056 33,031 + 33,032 + 33,033 + 33,034 + 33,035 27,525 + 27,526 + 27,527 + 27,528 + 27,529 + 27,530
Aliquot sequence: 165,165 192,339 137,133 67,841 559 57 23 1 0 — terminates at zero

Continued fraction of √n

√165,165 = [406; (2, 2, 7, 1, 1, 1, 5, 6, 1, 1, 5, 1, 2, 202, 1, 5, 1, 2, 1, 1, 1, 1, 22, 1, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-five thousand one hundred sixty-five
Ordinal
165165th
Binary
101000010100101101
Octal
502455
Hexadecimal
0x2852D
Base64
AoUt
One's complement
4,294,802,130 (32-bit)
Scientific notation
1.65165 × 10⁵
As a duration
165,165 s = 1 day, 21 hours, 52 minutes, 45 seconds
In other bases
ternary (3) 22101120020
quaternary (4) 220110231
quinary (5) 20241130
senary (6) 3312353
septenary (7) 1255350
nonary (9) 271506
undecimal (11) 103100
duodecimal (12) 7b6b9
tridecimal (13) 5a240
tetradecimal (14) 44297
pentadecimal (15) 33e10

As an angle

165,165° = 458 × 360° + 285°
285° ≈ 4.974 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρξερξεʹ
Chinese
一十六萬五千一百六十五
Chinese (financial)
壹拾陸萬伍仟壹佰陸拾伍
In other modern scripts
Eastern Arabic ١٦٥١٦٥ Devanagari १६५१६५ Bengali ১৬৫১৬৫ Tamil ௧௬௫௧௬௫ Thai ๑๖๕๑๖๕ Tibetan ༡༦༥༡༦༥ Khmer ១៦៥១៦៥ Lao ໑໖໕໑໖໕ Burmese ၁၆၅၁၆၅

Also seen as

Unicode codepoint
𨔭
CJK Unified Ideograph-2852D
U+2852D
Other letter (Lo)

UTF-8 encoding: F0 A8 94 AD (4 bytes).

Hex color
#02852D
RGB(2, 133, 45)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.133.45.

Address
0.2.133.45
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.133.45

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 165,165 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