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133,126

133,126 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.).

133,126 (one hundred thirty-three thousand one hundred twenty-six) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 7 × 37 × 257. Written other ways, in hexadecimal, 0x20806.

Arithmetic Number Cube-Free Deficient Number Evil Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
108
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
621,331
Square (n²)
17,722,531,876
Cube (n³)
2,359,329,778,524,376
Divisor count
16
σ(n) — sum of divisors
235,296
φ(n) — Euler's totient
55,296
Sum of prime factors
303

Primality

Prime factorization: 2 × 7 × 37 × 257

Nearest primes: 133,121 (−5) · 133,153 (+27)

Divisors & multiples

All divisors (16)
1 · 2 · 7 · 14 · 37 · 74 · 257 · 259 · 514 · 518 · 1799 · 3598 · 9509 · 19018 · 66563 (half) · 133126
Aliquot sum (sum of proper divisors): 102,170
Factor pairs (a × b = 133,126)
1 × 133126
2 × 66563
7 × 19018
14 × 9509
37 × 3598
74 × 1799
257 × 518
259 × 514
First multiples
133,126 · 266,252 (double) · 399,378 · 532,504 · 665,630 · 798,756 · 931,882 · 1,065,008 · 1,198,134 · 1,331,260

Sums & aliquot sequence

As consecutive integers: 33,280 + 33,281 + 33,282 + 33,283 19,015 + 19,016 + … + 19,021 4,741 + 4,742 + … + 4,768 3,580 + 3,581 + … + 3,616
Aliquot sequence: 133,126 102,170 92,878 46,442 29,590 28,730 30,562 24,158 12,994 6,986 5,014 2,906 1,456 2,016 4,536 9,984 18,632 — unresolved within range

Continued fraction of √n

√133,126 = [364; (1, 6, 2, 1, 2, 5, 1, 1, 3, 1, 2, 12, 4, 1, 1, 28, 1, 1, 1, 2, 1, 3, 1, 8, …)]

Representations

In words
one hundred thirty-three thousand one hundred twenty-six
Ordinal
133126th
Binary
100000100000000110
Octal
404006
Hexadecimal
0x20806
Base64
AggG
One's complement
4,294,834,169 (32-bit)
Scientific notation
1.33126 × 10⁵
As a duration
133,126 s = 1 day, 12 hours, 58 minutes, 46 seconds
In other bases
ternary (3) 20202121121
quaternary (4) 200200012
quinary (5) 13230001
senary (6) 2504154
septenary (7) 1063060
nonary (9) 222547
undecimal (11) 91024
duodecimal (12) 6505a
tridecimal (13) 48796
tetradecimal (14) 36730
pentadecimal (15) 296a1

As an angle

133,126° = 369 × 360° + 286°
286° ≈ 4.992 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγρκϛʹ
Mayan (base 20)
𝋰·𝋬·𝋰·𝋦
Chinese
一十三萬三千一百二十六
Chinese (financial)
壹拾參萬參仟壹佰貳拾陸
In other modern scripts
Eastern Arabic ١٣٣١٢٦ Devanagari १३३१२६ Bengali ১৩৩১২৬ Tamil ௧௩௩௧௨௬ Thai ๑๓๓๑๒๖ Tibetan ༡༣༣༡༢༦ Khmer ១៣៣១២៦ Lao ໑໓໓໑໒໖ Burmese ၁၃၃၁၂၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133126, here are decompositions:

  • 5 + 133121 = 133126
  • 17 + 133109 = 133126
  • 23 + 133103 = 133126
  • 29 + 133097 = 133126
  • 53 + 133073 = 133126
  • 113 + 133013 = 133126
  • 137 + 132989 = 133126
  • 173 + 132953 = 133126

Showing the first eight; more decompositions exist.

Unicode codepoint
𠠆
CJK Unified Ideograph-20806
U+20806
Other letter (Lo)

UTF-8 encoding: F0 A0 A0 86 (4 bytes).

Hex color
#020806
RGB(2, 8, 6)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.6.

Address
0.2.8.6
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.6

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 133,126 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 133126 first appears in π at position 650,032 of the decimal expansion (the 650,032ordinal-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