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165,375

165,375 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.).

165,375 (one hundred sixty-five thousand three hundred seventy-five) is an odd 6-digit number. It is a composite number with 48 divisors, and factors as 3³ × 5³ × 7². Its proper divisors sum to 190,305, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x285FF.

Abundant Number Achilles Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Powerful Number Semiperfect Number

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
27
Digit product
3,150
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
573,561
Square (n²)
27,348,890,625
Cube (n³)
4,522,822,787,109,375
Divisor count
48
σ(n) — sum of divisors
355,680
φ(n) — Euler's totient
75,600
Sum of prime factors
38

Primality

Prime factorization: 3 3 × 5 3 × 7 2

Nearest primes: 165,367 (−8) · 165,379 (+4)

Divisors & multiples

All divisors (48)
1 · 3 · 5 · 7 · 9 · 15 · 21 · 25 · 27 · 35 · 45 · 49 · 63 · 75 · 105 · 125 · 135 · 147 · 175 · 189 · 225 · 245 · 315 · 375 · 441 · 525 · 675 · 735 · 875 · 945 · 1125 · 1225 · 1323 · 1575 · 2205 · 2625 · 3375 · 3675 · 4725 · 6125 · 6615 · 7875 · 11025 · 18375 · 23625 · 33075 · 55125 · 165375
Aliquot sum (sum of proper divisors): 190,305
Factor pairs (a × b = 165,375)
1 × 165375
3 × 55125
5 × 33075
7 × 23625
9 × 18375
15 × 11025
21 × 7875
25 × 6615
27 × 6125
35 × 4725
45 × 3675
49 × 3375
63 × 2625
75 × 2205
105 × 1575
125 × 1323
135 × 1225
147 × 1125
175 × 945
189 × 875
225 × 735
245 × 675
315 × 525
375 × 441
First multiples
165,375 · 330,750 (double) · 496,125 · 661,500 · 826,875 · 992,250 · 1,157,625 · 1,323,000 · 1,488,375 · 1,653,750

Sums & aliquot sequence

As consecutive integers: 82,687 + 82,688 55,124 + 55,125 + 55,126 33,073 + 33,074 + 33,075 + 33,076 + 33,077 27,560 + 27,561 + 27,562 + 27,563 + 27,564 + 27,565
Aliquot sequence: 165,375 190,305 139,635 113,085 111,555 89,997 31,443 11,565 8,559 4,161 1,759 1 0 — terminates at zero

Continued fraction of √n

√165,375 = [406; (1, 1, 1, 31, 1, 6, 2, 32, 15, 32, 2, 6, 1, 31, 1, 1, 1, 812)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-five thousand three hundred seventy-five
Ordinal
165375th
Binary
101000010111111111
Octal
502777
Hexadecimal
0x285FF
Base64
AoX/
One's complement
4,294,801,920 (32-bit)
Scientific notation
1.65375 × 10⁵
As a duration
165,375 s = 1 day, 21 hours, 56 minutes, 15 seconds
In other bases
ternary (3) 22101212000
quaternary (4) 220113333
quinary (5) 20243000
senary (6) 3313343
septenary (7) 1256100
nonary (9) 271760
undecimal (11) 103281
duodecimal (12) 7b853
tridecimal (13) 5a372
tetradecimal (14) 443a7
pentadecimal (15) 34000

As an angle

165,375° = 459 × 360° + 135°
135° ≈ 2.356 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρξετοεʹ
Chinese
一十六萬五千三百七十五
Chinese (financial)
壹拾陸萬伍仟參佰柒拾伍
In other modern scripts
Eastern Arabic ١٦٥٣٧٥ Devanagari १६५३७५ Bengali ১৬৫৩৭৫ Tamil ௧௬௫௩௭௫ Thai ๑๖๕๓๗๕ Tibetan ༡༦༥༣༧༥ Khmer ១៦៥៣៧៥ Lao ໑໖໕໓໗໕ Burmese ၁၆၅၃၇၅

Also seen as

Unicode codepoint
𨗿
CJK Unified Ideograph-285Ff
U+285FF
Other letter (Lo)

UTF-8 encoding: F0 A8 97 BF (4 bytes).

Hex color
#0285FF
RGB(2, 133, 255)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.133.255.

Address
0.2.133.255
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.133.255

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 165,375 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