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165,048

165,048 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.).

165,048 (one hundred sixty-five thousand forty-eight) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3 × 13 × 23². Its proper divisors sum to 299,472, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x284B8.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
840,561
Square (n²)
27,240,842,304
Cube (n³)
4,496,046,540,590,592
Divisor count
48
σ(n) — sum of divisors
464,520
φ(n) — Euler's totient
48,576
Sum of prime factors
68

Primality

Prime factorization: 2 3 × 3 × 13 × 23 2

Nearest primes: 165,047 (−1) · 165,049 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 13 · 23 · 24 · 26 · 39 · 46 · 52 · 69 · 78 · 92 · 104 · 138 · 156 · 184 · 276 · 299 · 312 · 529 · 552 · 598 · 897 · 1058 · 1196 · 1587 · 1794 · 2116 · 2392 · 3174 · 3588 · 4232 · 6348 · 6877 · 7176 · 12696 · 13754 · 20631 · 27508 · 41262 · 55016 · 82524 (half) · 165048
Aliquot sum (sum of proper divisors): 299,472
Factor pairs (a × b = 165,048)
1 × 165048
2 × 82524
3 × 55016
4 × 41262
6 × 27508
8 × 20631
12 × 13754
13 × 12696
23 × 7176
24 × 6877
26 × 6348
39 × 4232
46 × 3588
52 × 3174
69 × 2392
78 × 2116
92 × 1794
104 × 1587
138 × 1196
156 × 1058
184 × 897
276 × 598
299 × 552
312 × 529
First multiples
165,048 · 330,096 (double) · 495,144 · 660,192 · 825,240 · 990,288 · 1,155,336 · 1,320,384 · 1,485,432 · 1,650,480

Sums & aliquot sequence

As consecutive integers: 55,015 + 55,016 + 55,017 12,690 + 12,691 + … + 12,702 10,308 + 10,309 + … + 10,323 7,165 + 7,166 + … + 7,187
Aliquot sequence: 165,048 299,472 521,904 853,008 1,521,840 3,486,768 6,052,800 15,553,456 14,581,396 10,936,054 5,817,194 2,908,600 3,854,360 4,885,000 6,572,270 5,830,450 5,390,930 — unresolved within range

Continued fraction of √n

√165,048 = [406; (3, 1, 4, 1, 13, 1, 2, 6, 2, 1, 2, 16, 4, 1, 3, 2, 4, 1, 2, 67, 2, 1, 4, 2, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-five thousand forty-eight
Ordinal
165048th
Binary
101000010010111000
Octal
502270
Hexadecimal
0x284B8
Base64
AoS4
One's complement
4,294,802,247 (32-bit)
Scientific notation
1.65048 × 10⁵
As a duration
165,048 s = 1 day, 21 hours, 50 minutes, 48 seconds
In other bases
ternary (3) 22101101220
quaternary (4) 220102320
quinary (5) 20240143
senary (6) 3312040
septenary (7) 1255122
nonary (9) 271356
undecimal (11) 103004
duodecimal (12) 7b620
tridecimal (13) 5a180
tetradecimal (14) 44212
pentadecimal (15) 33d83

As an angle

165,048° = 458 × 360° + 168°
168° ≈ 2.932 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρξεμηʹ
Chinese
一十六萬五千零四十八
Chinese (financial)
壹拾陸萬伍仟零肆拾捌
In other modern scripts
Eastern Arabic ١٦٥٠٤٨ Devanagari १६५०४८ Bengali ১৬৫০৪৮ Tamil ௧௬௫௦௪௮ Thai ๑๖๕๐๔๘ Tibetan ༡༦༥༠༤༨ Khmer ១៦៥០៤៨ Lao ໑໖໕໐໔໘ Burmese ၁၆၅၀၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 165048, here are decompositions:

  • 7 + 165041 = 165048
  • 11 + 165037 = 165048
  • 47 + 165001 = 165048
  • 61 + 164987 = 165048
  • 137 + 164911 = 165048
  • 167 + 164881 = 165048
  • 211 + 164837 = 165048
  • 227 + 164821 = 165048

Showing the first eight; more decompositions exist.

Unicode codepoint
𨒸
CJK Unified Ideograph-284B8
U+284B8
Other letter (Lo)

UTF-8 encoding: F0 A8 92 B8 (4 bytes).

Hex color
#0284B8
RGB(2, 132, 184)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.132.184.

Address
0.2.132.184
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.132.184

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 165,048 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°.