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133,926

133,926 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.).

133,926 (one hundred thirty-three thousand nine hundred twenty-six) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 13 × 17 × 101. Its proper divisors sum to 174,522, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20B26.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Practical Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
972
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
629,331
Square (n²)
17,936,173,476
Cube (n³)
2,402,119,968,946,776
Divisor count
32
σ(n) — sum of divisors
308,448
φ(n) — Euler's totient
38,400
Sum of prime factors
136

Primality

Prime factorization: 2 × 3 × 13 × 17 × 101

Nearest primes: 133,919 (−7) · 133,949 (+23)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 6 · 13 · 17 · 26 · 34 · 39 · 51 · 78 · 101 · 102 · 202 · 221 · 303 · 442 · 606 · 663 · 1313 · 1326 · 1717 · 2626 · 3434 · 3939 · 5151 · 7878 · 10302 · 22321 · 44642 · 66963 (half) · 133926
Aliquot sum (sum of proper divisors): 174,522
Factor pairs (a × b = 133,926)
1 × 133926
2 × 66963
3 × 44642
6 × 22321
13 × 10302
17 × 7878
26 × 5151
34 × 3939
39 × 3434
51 × 2626
78 × 1717
101 × 1326
102 × 1313
202 × 663
221 × 606
303 × 442
First multiples
133,926 · 267,852 (double) · 401,778 · 535,704 · 669,630 · 803,556 · 937,482 · 1,071,408 · 1,205,334 · 1,339,260

Sums & aliquot sequence

As consecutive integers: 44,641 + 44,642 + 44,643 33,480 + 33,481 + 33,482 + 33,483 11,155 + 11,156 + … + 11,166 10,296 + 10,297 + … + 10,308
Aliquot sequence: 133,926 174,522 214,278 221,178 225,798 225,810 409,734 612,378 817,050 1,370,310 1,918,506 2,120,694 2,134,986 2,745,078 3,642,114 5,174,142 5,551,362 — unresolved within range

Continued fraction of √n

√133,926 = [365; (1, 23, 2, 1, 1, 28, 1, 2, 9, 5, 1, 16, 5, 2, 2, 14, 1, 1, 7, 1, 8, 1, 1, 1, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand nine hundred twenty-six
Ordinal
133926th
Binary
100000101100100110
Octal
405446
Hexadecimal
0x20B26
Base64
Agsm
One's complement
4,294,833,369 (32-bit)
Scientific notation
1.33926 × 10⁵
As a duration
133,926 s = 1 day, 13 hours, 12 minutes, 6 seconds
In other bases
ternary (3) 20210201020
quaternary (4) 200230212
quinary (5) 13241201
senary (6) 2512010
septenary (7) 1065312
nonary (9) 223636
undecimal (11) 91691
duodecimal (12) 65606
tridecimal (13) 48c60
tetradecimal (14) 36b42
pentadecimal (15) 29a36

As an angle

133,926° = 372 × 360° + 6°
6° ≈ 0.105 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγϡκϛʹ
Mayan (base 20)
𝋰·𝋮·𝋰·𝋦
Chinese
一十三萬三千九百二十六
Chinese (financial)
壹拾參萬參仟玖佰貳拾陸
In other modern scripts
Eastern Arabic ١٣٣٩٢٦ Devanagari १३३९२६ Bengali ১৩৩৯২৬ Tamil ௧௩௩௯௨௬ Thai ๑๓๓๙๒๖ Tibetan ༡༣༣༩༢༦ Khmer ១៣៣៩២៦ Lao ໑໓໓໙໒໖ Burmese ၁၃၃၉၂၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133926, here are decompositions:

  • 7 + 133919 = 133926
  • 53 + 133873 = 133926
  • 73 + 133853 = 133926
  • 83 + 133843 = 133926
  • 113 + 133813 = 133926
  • 157 + 133769 = 133926
  • 193 + 133733 = 133926
  • 229 + 133697 = 133926

Showing the first eight; more decompositions exist.

Unicode codepoint
𠬦
CJK Unified Ideograph-20B26
U+20B26
Other letter (Lo)

UTF-8 encoding: F0 A0 AC A6 (4 bytes).

Hex color
#020B26
RGB(2, 11, 38)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.11.38.

Address
0.2.11.38
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.11.38

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 133,926 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 133926 first appears in π at position 150,943 of the decimal expansion (the 150,943ordinal-suffix:rd 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°.