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133,362

133,362 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.).

133,362 (one hundred thirty-three thousand three hundred sixty-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 31 × 239. Its proper divisors sum to 166,158, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x208F2.

Abundant Number Arithmetic Number Cube-Free Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
324
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
263,331
Recamán's sequence
a(35,384) = 133,362
Square (n²)
17,785,423,044
Cube (n³)
2,371,899,587,993,928
Divisor count
24
σ(n) — sum of divisors
299,520
φ(n) — Euler's totient
42,840
Sum of prime factors
278

Primality

Prime factorization: 2 × 3 2 × 31 × 239

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

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 6 · 9 · 18 · 31 · 62 · 93 · 186 · 239 · 279 · 478 · 558 · 717 · 1434 · 2151 · 4302 · 7409 · 14818 · 22227 · 44454 · 66681 (half) · 133362
Aliquot sum (sum of proper divisors): 166,158
Factor pairs (a × b = 133,362)
1 × 133362
2 × 66681
3 × 44454
6 × 22227
9 × 14818
18 × 7409
31 × 4302
62 × 2151
93 × 1434
186 × 717
239 × 558
279 × 478
First multiples
133,362 · 266,724 (double) · 400,086 · 533,448 · 666,810 · 800,172 · 933,534 · 1,066,896 · 1,200,258 · 1,333,620

Sums & aliquot sequence

As consecutive integers: 44,453 + 44,454 + 44,455 33,339 + 33,340 + 33,341 + 33,342 14,814 + 14,815 + … + 14,822 11,108 + 11,109 + … + 11,119
Aliquot sequence: 133,362 166,158 226,962 284,094 347,346 438,894 539,226 670,554 782,352 1,464,528 2,611,600 3,663,730 4,008,698 2,004,352 2,561,168 2,401,126 2,114,714 — unresolved within range

Continued fraction of √n

√133,362 = [365; (5, 3, 31, 2, 3, 1, 7, 2, 3, 40, 3, 2, 7, 1, 3, 2, 31, 3, 5, 730)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand three hundred sixty-two
Ordinal
133362nd
Binary
100000100011110010
Octal
404362
Hexadecimal
0x208F2
Base64
Agjy
One's complement
4,294,833,933 (32-bit)
Scientific notation
1.33362 × 10⁵
As a duration
133,362 s = 1 day, 13 hours, 2 minutes, 42 seconds
In other bases
ternary (3) 20202221100
quaternary (4) 200203302
quinary (5) 13231422
senary (6) 2505230
septenary (7) 1063545
nonary (9) 222840
undecimal (11) 91219
duodecimal (12) 65216
tridecimal (13) 48918
tetradecimal (14) 3685c
pentadecimal (15) 297ac
Palindromic in base 11

As an angle

133,362° = 370 × 360° + 162°
162° ≈ 2.827 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλγτξβʹ
Mayan (base 20)
𝋰·𝋭·𝋨·𝋢
Chinese
一十三萬三千三百六十二
Chinese (financial)
壹拾參萬參仟參佰陸拾貳
In other modern scripts
Eastern Arabic ١٣٣٣٦٢ Devanagari १३३३६२ Bengali ১৩৩৩৬২ Tamil ௧௩௩௩௬௨ Thai ๑๓๓๓๖๒ Tibetan ༡༣༣༣༦༢ Khmer ១៣៣៣៦២ Lao ໑໓໓໓໖໒ Burmese ၁၃၃၃၆၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133362, here are decompositions:

  • 11 + 133351 = 133362
  • 13 + 133349 = 133362
  • 41 + 133321 = 133362
  • 43 + 133319 = 133362
  • 59 + 133303 = 133362
  • 79 + 133283 = 133362
  • 83 + 133279 = 133362
  • 101 + 133261 = 133362

Showing the first eight; more decompositions exist.

Unicode codepoint
𠣲
CJK Unified Ideograph-208F2
U+208F2
Other letter (Lo)

UTF-8 encoding: F0 A0 A3 B2 (4 bytes).

Hex color
#0208F2
RGB(2, 8, 242)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.242.

Address
0.2.8.242
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.242

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 133,362 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 133362 first appears in π at position 404,252 of the decimal expansion (the 404,252ordinal-suffix:nd 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°.