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133,348

133,348 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.).

133,348 (one hundred thirty-three thousand three hundred forty-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 17 × 37 × 53. Written other ways, in hexadecimal, 0x208E4.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
864
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
843,331
Recamán's sequence
a(35,356) = 133,348
Square (n²)
17,781,689,104
Cube (n³)
2,371,152,678,640,192
Divisor count
24
σ(n) — sum of divisors
258,552
φ(n) — Euler's totient
59,904
Sum of prime factors
111

Primality

Prime factorization: 2 2 × 17 × 37 × 53

Nearest primes: 133,337 (−11) · 133,349 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 17 · 34 · 37 · 53 · 68 · 74 · 106 · 148 · 212 · 629 · 901 · 1258 · 1802 · 1961 · 2516 · 3604 · 3922 · 7844 · 33337 · 66674 (half) · 133348
Aliquot sum (sum of proper divisors): 125,204
Factor pairs (a × b = 133,348)
1 × 133348
2 × 66674
4 × 33337
17 × 7844
34 × 3922
37 × 3604
53 × 2516
68 × 1961
74 × 1802
106 × 1258
148 × 901
212 × 629
First multiples
133,348 · 266,696 (double) · 400,044 · 533,392 · 666,740 · 800,088 · 933,436 · 1,066,784 · 1,200,132 · 1,333,480

Sums & aliquot sequence

As a sum of two squares: 48² + 362² = 72² + 358² = 128² + 342² = 232² + 282²
As consecutive integers: 16,665 + 16,666 + … + 16,672 7,836 + 7,837 + … + 7,852 3,586 + 3,587 + … + 3,622 2,490 + 2,491 + … + 2,542
Aliquot sequence: 133,348 125,204 96,640 135,920 180,280 225,440 307,540 338,336 340,804 255,610 204,506 102,256 147,728 179,632 175,008 284,640 613,488 — unresolved within range

Continued fraction of √n

√133,348 = [365; (5, 1, 14, 1, 2, 2, 1, 1, 19, 1, 2, 3, 11, 8, 1, 12, 1, 8, 11, 3, 2, 1, 19, 1, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand three hundred forty-eight
Ordinal
133348th
Binary
100000100011100100
Octal
404344
Hexadecimal
0x208E4
Base64
Agjk
One's complement
4,294,833,947 (32-bit)
Scientific notation
1.33348 × 10⁵
As a duration
133,348 s = 1 day, 13 hours, 2 minutes, 28 seconds
In other bases
ternary (3) 20202220211
quaternary (4) 200203210
quinary (5) 13231343
senary (6) 2505204
septenary (7) 1063525
nonary (9) 222824
undecimal (11) 91206
duodecimal (12) 65204
tridecimal (13) 48907
tetradecimal (14) 3684c
pentadecimal (15) 2979d

As an angle

133,348° = 370 × 360° + 148°
148° ≈ 2.583 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγτμηʹ
Mayan (base 20)
𝋰·𝋭·𝋧·𝋨
Chinese
一十三萬三千三百四十八
Chinese (financial)
壹拾參萬參仟參佰肆拾捌
In other modern scripts
Eastern Arabic ١٣٣٣٤٨ Devanagari १३३३४८ Bengali ১৩৩৩৪৮ Tamil ௧௩௩௩௪௮ Thai ๑๓๓๓๔๘ Tibetan ༡༣༣༣༤༨ Khmer ១៣៣៣៤៨ Lao ໑໓໓໓໔໘ Burmese ၁၃၃၃၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133348, here are decompositions:

  • 11 + 133337 = 133348
  • 29 + 133319 = 133348
  • 71 + 133277 = 133348
  • 107 + 133241 = 133348
  • 179 + 133169 = 133348
  • 191 + 133157 = 133348
  • 227 + 133121 = 133348
  • 239 + 133109 = 133348

Showing the first eight; more decompositions exist.

Unicode codepoint
𠣤
CJK Unified Ideograph-208E4
U+208E4
Other letter (Lo)

UTF-8 encoding: F0 A0 A3 A4 (4 bytes).

Hex color
#0208E4
RGB(2, 8, 228)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.228.

Address
0.2.8.228
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.228

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 133,348 and was likely granted around 1872.

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

Related reading