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133,386

133,386 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.).

133,386 (one hundred thirty-three thousand three hundred eighty-six) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 11 × 43 × 47. Its proper divisors sum to 170,742, more than the number itself, making it an abundant number. It is the 516th triangular number. Written other ways, in hexadecimal, 0x2090A.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Squarefree Triangular

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
1,296
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
683,331
Recamán's sequence
a(35,432) = 133,386
Square (n²)
17,791,824,996
Cube (n³)
2,373,180,368,916,456
Divisor count
32
σ(n) — sum of divisors
304,128
φ(n) — Euler's totient
38,640
Sum of prime factors
106

Primality

Prime factorization: 2 × 3 × 11 × 43 × 47

Nearest primes: 133,379 (−7) · 133,387 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 6 · 11 · 22 · 33 · 43 · 47 · 66 · 86 · 94 · 129 · 141 · 258 · 282 · 473 · 517 · 946 · 1034 · 1419 · 1551 · 2021 · 2838 · 3102 · 4042 · 6063 · 12126 · 22231 · 44462 · 66693 (half) · 133386
Aliquot sum (sum of proper divisors): 170,742
Factor pairs (a × b = 133,386)
1 × 133386
2 × 66693
3 × 44462
6 × 22231
11 × 12126
22 × 6063
33 × 4042
43 × 3102
47 × 2838
66 × 2021
86 × 1551
94 × 1419
129 × 1034
141 × 946
258 × 517
282 × 473
First multiples
133,386 · 266,772 (double) · 400,158 · 533,544 · 666,930 · 800,316 · 933,702 · 1,067,088 · 1,200,474 · 1,333,860

Sums & aliquot sequence

As consecutive integers: 44,461 + 44,462 + 44,463 33,345 + 33,346 + 33,347 + 33,348 12,121 + 12,122 + … + 12,131 11,110 + 11,111 + … + 11,121
Aliquot sequence: 133,386 170,742 232,458 280,758 289,338 380,070 642,042 777,402 907,008 1,509,000 3,208,440 6,417,240 13,217,160 36,549,240 98,442,120 239,076,600 607,952,520 — unresolved within range

Continued fraction of √n

√133,386 = [365; (4, 1, 1, 6, 1, 1, 6, 2, 2, 1, 2, 28, 1, 5, 1, 1, 1, 1, 2, 7, 6, 1, 4, 1, …)]

Representations

In words
one hundred thirty-three thousand three hundred eighty-six
Ordinal
133386th
Binary
100000100100001010
Octal
404412
Hexadecimal
0x2090A
Base64
AgkK
One's complement
4,294,833,909 (32-bit)
Scientific notation
1.33386 × 10⁵
As a duration
133,386 s = 1 day, 13 hours, 3 minutes, 6 seconds
In other bases
ternary (3) 20202222020
quaternary (4) 200210022
quinary (5) 13232021
senary (6) 2505310
septenary (7) 1063611
nonary (9) 222866
undecimal (11) 91240
duodecimal (12) 65236
tridecimal (13) 48936
tetradecimal (14) 36878
pentadecimal (15) 297c6

As an angle

133,386° = 370 × 360° + 186°
186° ≈ 3.246 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγτπϛʹ
Mayan (base 20)
𝋰·𝋭·𝋩·𝋦
Chinese
一十三萬三千三百八十六
Chinese (financial)
壹拾參萬參仟參佰捌拾陸
In other modern scripts
Eastern Arabic ١٣٣٣٨٦ Devanagari १३३३८६ Bengali ১৩৩৩৮৬ Tamil ௧௩௩௩௮௬ Thai ๑๓๓๓๘๖ Tibetan ༡༣༣༣༨༦ Khmer ១៣៣៣៨៦ Lao ໑໓໓໓໘໖ Burmese ၁၃၃၃၈၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133386, here are decompositions:

  • 7 + 133379 = 133386
  • 37 + 133349 = 133386
  • 59 + 133327 = 133386
  • 67 + 133319 = 133386
  • 83 + 133303 = 133386
  • 103 + 133283 = 133386
  • 107 + 133279 = 133386
  • 109 + 133277 = 133386

Showing the first eight; more decompositions exist.

Unicode codepoint
𠤊
CJK Unified Ideograph-2090A
U+2090A
Other letter (Lo)

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

Hex color
#02090A
RGB(2, 9, 10)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.10.

Address
0.2.9.10
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.10

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 133,386 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 133386 first appears in π at position 384,745 of the decimal expansion (the 384,745ordinal-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

  • Triangular numbers — 1, 3, 6, 10, 15 … the counting numbers stacked into triangles, and Gauss's famous shortcut for summing them.
  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.