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133,368

133,368 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.).

133,368 (one hundred thirty-three thousand three hundred sixty-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 5,557. Its proper divisors sum to 200,112, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x208F8.

Abundant Number Harshad / Niven Moran Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
1,296
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
863,331
Recamán's sequence
a(35,396) = 133,368
Square (n²)
17,787,023,424
Cube (n³)
2,372,219,740,012,032
Divisor count
16
σ(n) — sum of divisors
333,480
φ(n) — Euler's totient
44,448
Sum of prime factors
5,566

Primality

Prime factorization: 2 3 × 3 × 5557

Nearest primes: 133,351 (−17) · 133,379 (+11)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 5557 · 11114 · 16671 · 22228 · 33342 · 44456 · 66684 (half) · 133368
Aliquot sum (sum of proper divisors): 200,112
Factor pairs (a × b = 133,368)
1 × 133368
2 × 66684
3 × 44456
4 × 33342
6 × 22228
8 × 16671
12 × 11114
24 × 5557
First multiples
133,368 · 266,736 (double) · 400,104 · 533,472 · 666,840 · 800,208 · 933,576 · 1,066,944 · 1,200,312 · 1,333,680

Sums & aliquot sequence

As consecutive integers: 44,455 + 44,456 + 44,457 8,328 + 8,329 + … + 8,343 2,755 + 2,756 + … + 2,802
Aliquot sequence: 133,368 200,112 365,328 698,592 1,236,768 2,263,008 4,220,448 6,858,480 16,215,936 31,265,064 53,411,346 65,280,654 84,963,594 85,089,174 89,047,338 98,420,982 116,315,850 — unresolved within range

Continued fraction of √n

√133,368 = [365; (5, 9, 2, 2, 3, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 5, 2, 5, 4, 1, 12, 4, 4, 9, …)]

Representations

In words
one hundred thirty-three thousand three hundred sixty-eight
Ordinal
133368th
Binary
100000100011111000
Octal
404370
Hexadecimal
0x208F8
Base64
Agj4
One's complement
4,294,833,927 (32-bit)
Scientific notation
1.33368 × 10⁵
As a duration
133,368 s = 1 day, 13 hours, 2 minutes, 48 seconds
In other bases
ternary (3) 20202221120
quaternary (4) 200203320
quinary (5) 13231433
senary (6) 2505240
septenary (7) 1063554
nonary (9) 222846
undecimal (11) 91224
duodecimal (12) 65220
tridecimal (13) 48921
tetradecimal (14) 36864
pentadecimal (15) 297b3

As an angle

133,368° = 370 × 360° + 168°
168° ≈ 2.932 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγτξηʹ
Mayan (base 20)
𝋰·𝋭·𝋨·𝋨
Chinese
一十三萬三千三百六十八
Chinese (financial)
壹拾參萬參仟參佰陸拾捌
In other modern scripts
Eastern Arabic ١٣٣٣٦٨ Devanagari १३३३६८ Bengali ১৩৩৩৬৮ Tamil ௧௩௩௩௬௮ Thai ๑๓๓๓๖๘ Tibetan ༡༣༣༣༦༨ Khmer ១៣៣៣៦៨ Lao ໑໓໓໓໖໘ Burmese ၁၃၃၃၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133368, here are decompositions:

  • 17 + 133351 = 133368
  • 19 + 133349 = 133368
  • 31 + 133337 = 133368
  • 41 + 133327 = 133368
  • 47 + 133321 = 133368
  • 89 + 133279 = 133368
  • 97 + 133271 = 133368
  • 107 + 133261 = 133368

Showing the first eight; more decompositions exist.

Unicode codepoint
𠣸
CJK Unified Ideograph-208F8
U+208F8
Other letter (Lo)

UTF-8 encoding: F0 A0 A3 B8 (4 bytes).

Hex color
#0208F8
RGB(2, 8, 248)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.248.

Address
0.2.8.248
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.248

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 133,368 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 133368 first appears in π at position 505,590 of the decimal expansion (the 505,590ordinal-suffix:th 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°.