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133,848

133,848 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.).

133,848 (one hundred thirty-three thousand eight hundred forty-eight) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2³ × 3² × 11 × 13². Its proper divisors sum to 294,372, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20AD8.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
2,304
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
848,331
Square (n²)
17,915,287,104
Cube (n³)
2,397,925,348,296,192
Divisor count
72
σ(n) — sum of divisors
428,220
φ(n) — Euler's totient
37,440
Sum of prime factors
49

Primality

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

Nearest primes: 133,843 (−5) · 133,853 (+5)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 11 · 12 · 13 · 18 · 22 · 24 · 26 · 33 · 36 · 39 · 44 · 52 · 66 · 72 · 78 · 88 · 99 · 104 · 117 · 132 · 143 · 156 · 169 · 198 · 234 · 264 · 286 · 312 · 338 · 396 · 429 · 468 · 507 · 572 · 676 · 792 · 858 · 936 · 1014 · 1144 · 1287 · 1352 · 1521 · 1716 · 1859 · 2028 · 2574 · 3042 · 3432 · 3718 · 4056 · 5148 · 5577 · 6084 · 7436 · 10296 · 11154 · 12168 · 14872 · 16731 · 22308 · 33462 · 44616 · 66924 (half) · 133848
Aliquot sum (sum of proper divisors): 294,372
Factor pairs (a × b = 133,848)
1 × 133848
2 × 66924
3 × 44616
4 × 33462
6 × 22308
8 × 16731
9 × 14872
11 × 12168
12 × 11154
13 × 10296
18 × 7436
22 × 6084
24 × 5577
26 × 5148
33 × 4056
36 × 3718
39 × 3432
44 × 3042
52 × 2574
66 × 2028
72 × 1859
78 × 1716
88 × 1521
99 × 1352
104 × 1287
117 × 1144
132 × 1014
143 × 936
156 × 858
169 × 792
198 × 676
234 × 572
264 × 507
286 × 468
312 × 429
338 × 396
First multiples
133,848 · 267,696 (double) · 401,544 · 535,392 · 669,240 · 803,088 · 936,936 · 1,070,784 · 1,204,632 · 1,338,480

Sums & aliquot sequence

As consecutive integers: 44,615 + 44,616 + 44,617 14,868 + 14,869 + … + 14,876 12,163 + 12,164 + … + 12,173 10,290 + 10,291 + … + 10,302
Aliquot sequence: 133,848 294,372 577,044 1,059,360 2,279,136 3,703,848 6,127,512 9,191,328 15,313,152 26,024,704 26,252,640 68,096,160 192,088,800 502,710,480 1,190,895,408 2,154,365,680 2,854,534,712 — unresolved within range

Continued fraction of √n

√133,848 = [365; (1, 5, 1, 3, 2, 8, 1, 1, 2, 3, 1, 14, 6, 4, 6, 14, 1, 3, 2, 1, 1, 8, 2, 3, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand eight hundred forty-eight
Ordinal
133848th
Binary
100000101011011000
Octal
405330
Hexadecimal
0x20AD8
Base64
AgrY
One's complement
4,294,833,447 (32-bit)
Scientific notation
1.33848 × 10⁵
As a duration
133,848 s = 1 day, 13 hours, 10 minutes, 48 seconds
In other bases
ternary (3) 20210121100
quaternary (4) 200223120
quinary (5) 13240343
senary (6) 2511400
septenary (7) 1065141
nonary (9) 223540
undecimal (11) 91620
duodecimal (12) 65560
tridecimal (13) 48c00
tetradecimal (14) 36ac8
pentadecimal (15) 299d3

As an angle

133,848° = 371 × 360° + 288°
288° ≈ 5.027 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγωμηʹ
Mayan (base 20)
𝋰·𝋮·𝋬·𝋨
Chinese
一十三萬三千八百四十八
Chinese (financial)
壹拾參萬參仟捌佰肆拾捌
In other modern scripts
Eastern Arabic ١٣٣٨٤٨ Devanagari १३३८४८ Bengali ১৩৩৮৪৮ Tamil ௧௩௩௮௪௮ Thai ๑๓๓๘๔๘ Tibetan ༡༣༣༨༤༨ Khmer ១៣៣៨៤៨ Lao ໑໓໓໘໔໘ Burmese ၁၃၃၈၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133848, here are decompositions:

  • 5 + 133843 = 133848
  • 17 + 133831 = 133848
  • 37 + 133811 = 133848
  • 47 + 133801 = 133848
  • 67 + 133781 = 133848
  • 79 + 133769 = 133848
  • 131 + 133717 = 133848
  • 137 + 133711 = 133848

Showing the first eight; more decompositions exist.

Unicode codepoint
𠫘
CJK Unified Ideograph-20Ad8
U+20AD8
Other letter (Lo)

UTF-8 encoding: F0 A0 AB 98 (4 bytes).

Hex color
#020AD8
RGB(2, 10, 216)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.216.

Address
0.2.10.216
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.216

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 133,848 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 133848 first appears in π at position 434,503 of the decimal expansion (the 434,503ordinal-suffix:rd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.