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133,378

133,378 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.).

133,378 (one hundred thirty-three thousand three hundred seventy-eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2 × 7² × 1,361. Written other ways, in hexadecimal, 0x20902.

Cube-Free Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
1,512
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
873,331
Recamán's sequence
a(35,416) = 133,378
Square (n²)
17,789,690,884
Cube (n³)
2,372,753,390,726,152
Divisor count
12
σ(n) — sum of divisors
232,902
φ(n) — Euler's totient
57,120
Sum of prime factors
1,377

Primality

Prime factorization: 2 × 7 2 × 1361

Nearest primes: 133,351 (−27) · 133,379 (+1)

Divisors & multiples

All divisors (12)
1 · 2 · 7 · 14 · 49 · 98 · 1361 · 2722 · 9527 · 19054 · 66689 (half) · 133378
Aliquot sum (sum of proper divisors): 99,524
Factor pairs (a × b = 133,378)
1 × 133378
2 × 66689
7 × 19054
14 × 9527
49 × 2722
98 × 1361
First multiples
133,378 · 266,756 (double) · 400,134 · 533,512 · 666,890 · 800,268 · 933,646 · 1,067,024 · 1,200,402 · 1,333,780

Sums & aliquot sequence

As a sum of two squares: 77² + 357²
As consecutive integers: 33,343 + 33,344 + 33,345 + 33,346 19,051 + 19,052 + … + 19,057 4,750 + 4,751 + … + 4,777 2,698 + 2,699 + … + 2,746
Aliquot sequence: 133,378 99,524 76,876 57,664 65,780 103,564 88,460 97,348 73,018 46,502 23,254 20,522 11,350 9,854 6,106 3,398 1,702 — unresolved within range

Continued fraction of √n

√133,378 = [365; (4, 1, 3, 2, 1, 1, 17, 4, 2, 4, 1, 2, 3, 7, 6, 2, 3, 1, 10, 3, 2, 3, 2, 1, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand three hundred seventy-eight
Ordinal
133378th
Binary
100000100100000010
Octal
404402
Hexadecimal
0x20902
Base64
AgkC
One's complement
4,294,833,917 (32-bit)
Scientific notation
1.33378 × 10⁵
As a duration
133,378 s = 1 day, 13 hours, 2 minutes, 58 seconds
In other bases
ternary (3) 20202221221
quaternary (4) 200210002
quinary (5) 13232003
senary (6) 2505254
septenary (7) 1063600
nonary (9) 222857
undecimal (11) 91233
duodecimal (12) 6522a
tridecimal (13) 4892b
tetradecimal (14) 36870
pentadecimal (15) 297bd
Palindromic in base 16

As an angle

133,378° = 370 × 360° + 178°
178° ≈ 3.107 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγτοηʹ
Mayan (base 20)
𝋰·𝋭·𝋨·𝋲
Chinese
一十三萬三千三百七十八
Chinese (financial)
壹拾參萬參仟參佰柒拾捌
In other modern scripts
Eastern Arabic ١٣٣٣٧٨ Devanagari १३३३७८ Bengali ১৩৩৩৭৮ Tamil ௧௩௩௩௭௮ Thai ๑๓๓๓๗๘ Tibetan ༡༣༣༣༧༨ Khmer ១៣៣៣៧៨ Lao ໑໓໓໓໗໘ Burmese ၁၃၃၃၇၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133378, here are decompositions:

  • 29 + 133349 = 133378
  • 41 + 133337 = 133378
  • 59 + 133319 = 133378
  • 101 + 133277 = 133378
  • 107 + 133271 = 133378
  • 137 + 133241 = 133378
  • 191 + 133187 = 133378
  • 257 + 133121 = 133378

Showing the first eight; more decompositions exist.

Unicode codepoint
𠤂
CJK Unified Ideograph-20902
U+20902
Other letter (Lo)

UTF-8 encoding: F0 A0 A4 82 (4 bytes).

Hex color
#020902
RGB(2, 9, 2)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.2.

Address
0.2.9.2
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.2

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 133,378 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 133378 first appears in π at position 713,777 of the decimal expansion (the 713,777ordinal-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