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165,792

165,792 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.).

165,792 (one hundred sixty-five thousand seven hundred ninety-two) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 11 × 157. Its proper divisors sum to 312,000, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x287A0.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
30
Digit product
3,780
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
297,561
Recamán's sequence
a(196,408) = 165,792
Square (n²)
27,486,987,264
Cube (n³)
4,557,122,592,473,088
Divisor count
48
σ(n) — sum of divisors
477,792
φ(n) — Euler's totient
49,920
Sum of prime factors
181

Primality

Prime factorization: 2 5 × 3 × 11 × 157

Nearest primes: 165,779 (−13) · 165,799 (+7)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 8 · 11 · 12 · 16 · 22 · 24 · 32 · 33 · 44 · 48 · 66 · 88 · 96 · 132 · 157 · 176 · 264 · 314 · 352 · 471 · 528 · 628 · 942 · 1056 · 1256 · 1727 · 1884 · 2512 · 3454 · 3768 · 5024 · 5181 · 6908 · 7536 · 10362 · 13816 · 15072 · 20724 · 27632 · 41448 · 55264 · 82896 (half) · 165792
Aliquot sum (sum of proper divisors): 312,000
Factor pairs (a × b = 165,792)
1 × 165792
2 × 82896
3 × 55264
4 × 41448
6 × 27632
8 × 20724
11 × 15072
12 × 13816
16 × 10362
22 × 7536
24 × 6908
32 × 5181
33 × 5024
44 × 3768
48 × 3454
66 × 2512
88 × 1884
96 × 1727
132 × 1256
157 × 1056
176 × 942
264 × 628
314 × 528
352 × 471
First multiples
165,792 · 331,584 (double) · 497,376 · 663,168 · 828,960 · 994,752 · 1,160,544 · 1,326,336 · 1,492,128 · 1,657,920

Sums & aliquot sequence

As consecutive integers: 55,263 + 55,264 + 55,265 15,067 + 15,068 + … + 15,077 5,008 + 5,009 + … + 5,040 2,559 + 2,560 + … + 2,622
Aliquot sequence: 165,792 312,000 797,472 1,742,688 3,342,672 6,135,888 11,157,648 17,666,400 43,360,944 81,881,040 171,950,928 274,844,880 754,255,920 1,953,070,800 4,632,623,760 10,623,203,376 — keeps growing

Continued fraction of √n

√165,792 = [407; (5, 1, 2, 3, 1, 4, 20, 1, 2, 24, 2, 1, 20, 4, 1, 3, 2, 1, 5, 814)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-five thousand seven hundred ninety-two
Ordinal
165792nd
Binary
101000011110100000
Octal
503640
Hexadecimal
0x287A0
Base64
Aoeg
One's complement
4,294,801,503 (32-bit)
Scientific notation
1.65792 × 10⁵
As a duration
165,792 s = 1 day, 22 hours, 3 minutes, 12 seconds
In other bases
ternary (3) 22102102110
quaternary (4) 220132200
quinary (5) 20301132
senary (6) 3315320
septenary (7) 1260234
nonary (9) 272373
undecimal (11) 103620
duodecimal (12) 7bb40
tridecimal (13) 5a603
tetradecimal (14) 445c4
pentadecimal (15) 341cc

As an angle

165,792° = 460 × 360° + 192°
192° ≈ 3.351 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρξεψϟβʹ
Chinese
一十六萬五千七百九十二
Chinese (financial)
壹拾陸萬伍仟柒佰玖拾貳
In other modern scripts
Eastern Arabic ١٦٥٧٩٢ Devanagari १६५७९२ Bengali ১৬৫৭৯২ Tamil ௧௬௫௭௯௨ Thai ๑๖๕๗๙๒ Tibetan ༡༦༥༧༩༢ Khmer ១៦៥៧៩២ Lao ໑໖໕໗໙໒ Burmese ၁၆၅၇၉၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 165792, here are decompositions:

  • 13 + 165779 = 165792
  • 43 + 165749 = 165792
  • 71 + 165721 = 165792
  • 73 + 165719 = 165792
  • 79 + 165713 = 165792
  • 83 + 165709 = 165792
  • 89 + 165703 = 165792
  • 139 + 165653 = 165792

Showing the first eight; more decompositions exist.

Unicode codepoint
𨞠
CJK Unified Ideograph-287A0
U+287A0
Other letter (Lo)

UTF-8 encoding: F0 A8 9E A0 (4 bytes).

Hex color
#0287A0
RGB(2, 135, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.135.160.

Address
0.2.135.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.135.160

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 165,792 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°.