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133,344

133,344 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.).

133,344 (one hundred thirty-three thousand three hundred forty-four) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2⁵ × 3² × 463. Its proper divisors sum to 246,672, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x208E0.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
432
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
443,331
Recamán's sequence
a(35,348) = 133,344
Square (n²)
17,780,622,336
Cube (n³)
2,370,939,304,771,584
Divisor count
36
σ(n) — sum of divisors
380,016
φ(n) — Euler's totient
44,352
Sum of prime factors
479

Primality

Prime factorization: 2 5 × 3 2 × 463

Nearest primes: 133,337 (−7) · 133,349 (+5)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 32 · 36 · 48 · 72 · 96 · 144 · 288 · 463 · 926 · 1389 · 1852 · 2778 · 3704 · 4167 · 5556 · 7408 · 8334 · 11112 · 14816 · 16668 · 22224 · 33336 · 44448 · 66672 (half) · 133344
Aliquot sum (sum of proper divisors): 246,672
Factor pairs (a × b = 133,344)
1 × 133344
2 × 66672
3 × 44448
4 × 33336
6 × 22224
8 × 16668
9 × 14816
12 × 11112
16 × 8334
18 × 7408
24 × 5556
32 × 4167
36 × 3704
48 × 2778
72 × 1852
96 × 1389
144 × 926
288 × 463
First multiples
133,344 · 266,688 (double) · 400,032 · 533,376 · 666,720 · 800,064 · 933,408 · 1,066,752 · 1,200,096 · 1,333,440

Sums & aliquot sequence

As consecutive integers: 44,447 + 44,448 + 44,449 14,812 + 14,813 + … + 14,820 2,052 + 2,053 + … + 2,115 599 + 600 + … + 790
Aliquot sequence: 133,344 246,672 462,608 465,532 354,924 542,336 600,064 603,866 301,936 291,776 305,632 296,144 287,152 277,544 242,866 149,498 87,994 — unresolved within range

Continued fraction of √n

√133,344 = [365; (6, 7, 2, 1, 3, 7, 31, 1, 1, 1, 1, 1, 1, 14, 3, 2, 5, 1, 2, 2, 2, 2, 8, 1, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand three hundred forty-four
Ordinal
133344th
Binary
100000100011100000
Octal
404340
Hexadecimal
0x208E0
Base64
Agjg
One's complement
4,294,833,951 (32-bit)
Scientific notation
1.33344 × 10⁵
As a duration
133,344 s = 1 day, 13 hours, 2 minutes, 24 seconds
In other bases
ternary (3) 20202220200
quaternary (4) 200203200
quinary (5) 13231334
senary (6) 2505200
septenary (7) 1063521
nonary (9) 222820
undecimal (11) 91202
duodecimal (12) 65200
tridecimal (13) 48903
tetradecimal (14) 36848
pentadecimal (15) 29799

As an angle

133,344° = 370 × 360° + 144°
144° ≈ 2.513 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγτμδʹ
Mayan (base 20)
𝋰·𝋭·𝋧·𝋤
Chinese
一十三萬三千三百四十四
Chinese (financial)
壹拾參萬參仟參佰肆拾肆
In other modern scripts
Eastern Arabic ١٣٣٣٤٤ Devanagari १३३३४४ Bengali ১৩৩৩৪৪ Tamil ௧௩௩௩௪௪ Thai ๑๓๓๓๔๔ Tibetan ༡༣༣༣༤༤ Khmer ១៣៣៣៤៤ Lao ໑໓໓໓໔໔ Burmese ၁၃၃၃၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133344, here are decompositions:

  • 7 + 133337 = 133344
  • 17 + 133327 = 133344
  • 23 + 133321 = 133344
  • 41 + 133303 = 133344
  • 61 + 133283 = 133344
  • 67 + 133277 = 133344
  • 73 + 133271 = 133344
  • 83 + 133261 = 133344

Showing the first eight; more decompositions exist.

Unicode codepoint
𠣠
CJK Unified Ideograph-208E0
U+208E0
Other letter (Lo)

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

Hex color
#0208E0
RGB(2, 8, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.224.

Address
0.2.8.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.224

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 133,344 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

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