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133,196

133,196 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.).

133,196 (one hundred thirty-three thousand one hundred ninety-six) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 67 × 71. Its proper divisors sum to 140,980, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2084C.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
486
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
691,331
Square (n²)
17,741,174,416
Cube (n³)
2,363,053,467,513,536
Divisor count
24
σ(n) — sum of divisors
274,176
φ(n) — Euler's totient
55,440
Sum of prime factors
149

Primality

Prime factorization: 2 2 × 7 × 67 × 71

Nearest primes: 133,187 (−9) · 133,201 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 14 · 28 · 67 · 71 · 134 · 142 · 268 · 284 · 469 · 497 · 938 · 994 · 1876 · 1988 · 4757 · 9514 · 19028 · 33299 · 66598 (half) · 133196
Aliquot sum (sum of proper divisors): 140,980
Factor pairs (a × b = 133,196)
1 × 133196
2 × 66598
4 × 33299
7 × 19028
14 × 9514
28 × 4757
67 × 1988
71 × 1876
134 × 994
142 × 938
268 × 497
284 × 469
First multiples
133,196 · 266,392 (double) · 399,588 · 532,784 · 665,980 · 799,176 · 932,372 · 1,065,568 · 1,198,764 · 1,331,960

Sums & aliquot sequence

As consecutive integers: 19,025 + 19,026 + … + 19,031 16,646 + 16,647 + … + 16,653 2,351 + 2,352 + … + 2,406 1,955 + 1,956 + … + 2,021
Aliquot sequence: 133,196 140,980 221,900 330,148 381,724 381,780 989,100 2,576,644 2,802,044 3,380,356 3,957,884 3,957,940 6,105,932 6,105,988 6,324,458 4,517,494 2,416,466 — unresolved within range

Continued fraction of √n

√133,196 = [364; (1, 24, 5, 1, 5, 1, 1, 19, 5, 3, 6, 29, 26, 29, 6, 3, 5, 19, 1, 1, 5, 1, 5, 24, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand one hundred ninety-six
Ordinal
133196th
Binary
100000100001001100
Octal
404114
Hexadecimal
0x2084C
Base64
AghM
One's complement
4,294,834,099 (32-bit)
Scientific notation
1.33196 × 10⁵
As a duration
133,196 s = 1 day, 12 hours, 59 minutes, 56 seconds
In other bases
ternary (3) 20202201012
quaternary (4) 200201030
quinary (5) 13230241
senary (6) 2504352
septenary (7) 1063220
nonary (9) 222635
undecimal (11) 91088
duodecimal (12) 650b8
tridecimal (13) 4881b
tetradecimal (14) 36780
pentadecimal (15) 296eb

As an angle

133,196° = 369 × 360° + 356°
356° ≈ 6.213 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγρϟϛʹ
Mayan (base 20)
𝋰·𝋬·𝋳·𝋰
Chinese
一十三萬三千一百九十六
Chinese (financial)
壹拾參萬參仟壹佰玖拾陸
In other modern scripts
Eastern Arabic ١٣٣١٩٦ Devanagari १३३१९६ Bengali ১৩৩১৯৬ Tamil ௧௩௩௧௯௬ Thai ๑๓๓๑๙๖ Tibetan ༡༣༣༡༩༦ Khmer ១៣៣១៩៦ Lao ໑໓໓໑໙໖ Burmese ၁၃၃၁၉၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133196, here are decompositions:

  • 13 + 133183 = 133196
  • 43 + 133153 = 133196
  • 79 + 133117 = 133196
  • 109 + 133087 = 133196
  • 127 + 133069 = 133196
  • 157 + 133039 = 133196
  • 163 + 133033 = 133196
  • 229 + 132967 = 133196

Showing the first eight; more decompositions exist.

Unicode codepoint
𠡌
CJK Unified Ideograph-2084C
U+2084C
Other letter (Lo)

UTF-8 encoding: F0 A0 A1 8C (4 bytes).

Hex color
#02084C
RGB(2, 8, 76)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.76.

Address
0.2.8.76
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.76

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 133,196 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 133196 first appears in π at position 641,599 of the decimal expansion (the 641,599ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.