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133,406

133,406 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.).

133,406 (one hundred thirty-three thousand four hundred six) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 7 × 13 × 733. Written other ways, in hexadecimal, 0x2091E.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
604,331
Recamán's sequence
a(35,472) = 133,406
Square (n²)
17,797,160,836
Cube (n³)
2,374,248,038,487,416
Divisor count
16
σ(n) — sum of divisors
246,624
φ(n) — Euler's totient
52,704
Sum of prime factors
755

Primality

Prime factorization: 2 × 7 × 13 × 733

Nearest primes: 133,403 (−3) · 133,417 (+11)

Divisors & multiples

All divisors (16)
1 · 2 · 7 · 13 · 14 · 26 · 91 · 182 · 733 · 1466 · 5131 · 9529 · 10262 · 19058 · 66703 (half) · 133406
Aliquot sum (sum of proper divisors): 113,218
Factor pairs (a × b = 133,406)
1 × 133406
2 × 66703
7 × 19058
13 × 10262
14 × 9529
26 × 5131
91 × 1466
182 × 733
First multiples
133,406 · 266,812 (double) · 400,218 · 533,624 · 667,030 · 800,436 · 933,842 · 1,067,248 · 1,200,654 · 1,334,060

Sums & aliquot sequence

As consecutive integers: 33,350 + 33,351 + 33,352 + 33,353 19,055 + 19,056 + … + 19,061 10,256 + 10,257 + … + 10,268 4,751 + 4,752 + … + 4,778
Aliquot sequence: 133,406 113,218 80,894 51,514 27,686 14,554 8,486 4,246 2,738 1,483 1 0 — terminates at zero

Continued fraction of √n

√133,406 = [365; (4, 28, 1, 32, 4, 5, 4, 1, 11, 5, 1, 20, 28, 20, 1, 5, 11, 1, 4, 5, 4, 32, 1, 28, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand four hundred six
Ordinal
133406th
Binary
100000100100011110
Octal
404436
Hexadecimal
0x2091E
Base64
Agke
One's complement
4,294,833,889 (32-bit)
Scientific notation
1.33406 × 10⁵
As a duration
133,406 s = 1 day, 13 hours, 3 minutes, 26 seconds
In other bases
ternary (3) 20202222222
quaternary (4) 200210132
quinary (5) 13232111
senary (6) 2505342
septenary (7) 1063640
nonary (9) 222888
undecimal (11) 91259
duodecimal (12) 65252
tridecimal (13) 48950
tetradecimal (14) 36890
pentadecimal (15) 297db

As an angle

133,406° = 370 × 360° + 206°
206° ≈ 3.595 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγυϛʹ
Mayan (base 20)
𝋰·𝋭·𝋪·𝋦
Chinese
一十三萬三千四百零六
Chinese (financial)
壹拾參萬參仟肆佰零陸
In other modern scripts
Eastern Arabic ١٣٣٤٠٦ Devanagari १३३४०६ Bengali ১৩৩৪০৬ Tamil ௧௩௩௪௦௬ Thai ๑๓๓๔๐๖ Tibetan ༡༣༣༤༠༦ Khmer ១៣៣៤០៦ Lao ໑໓໓໔໐໖ Burmese ၁၃၃၄၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133406, here are decompositions:

  • 3 + 133403 = 133406
  • 19 + 133387 = 133406
  • 79 + 133327 = 133406
  • 103 + 133303 = 133406
  • 127 + 133279 = 133406
  • 193 + 133213 = 133406
  • 223 + 133183 = 133406
  • 337 + 133069 = 133406

Showing the first eight; more decompositions exist.

Unicode codepoint
𠤞
CJK Unified Ideograph-2091E
U+2091E
Other letter (Lo)

UTF-8 encoding: F0 A0 A4 9E (4 bytes).

Hex color
#02091E
RGB(2, 9, 30)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.30.

Address
0.2.9.30
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.30

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 133,406 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 133406 first appears in π at position 316,745 of the decimal expansion (the 316,745ordinal-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

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