number.wiki
Live analysis

133,408

133,408 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.).

133,408 (one hundred thirty-three thousand four hundred eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 11 × 379. Its proper divisors sum to 153,872, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20920.

Abundant Number Arithmetic Number Evil Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
804,331
Recamán's sequence
a(35,476) = 133,408
Square (n²)
17,797,694,464
Cube (n³)
2,374,354,823,053,312
Divisor count
24
σ(n) — sum of divisors
287,280
φ(n) — Euler's totient
60,480
Sum of prime factors
400

Primality

Prime factorization: 2 5 × 11 × 379

Nearest primes: 133,403 (−5) · 133,417 (+9)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 8 · 11 · 16 · 22 · 32 · 44 · 88 · 176 · 352 · 379 · 758 · 1516 · 3032 · 4169 · 6064 · 8338 · 12128 · 16676 · 33352 · 66704 (half) · 133408
Aliquot sum (sum of proper divisors): 153,872
Factor pairs (a × b = 133,408)
1 × 133408
2 × 66704
4 × 33352
8 × 16676
11 × 12128
16 × 8338
22 × 6064
32 × 4169
44 × 3032
88 × 1516
176 × 758
352 × 379
First multiples
133,408 · 266,816 (double) · 400,224 · 533,632 · 667,040 · 800,448 · 933,856 · 1,067,264 · 1,200,672 · 1,334,080

Sums & aliquot sequence

As consecutive integers: 12,123 + 12,124 + … + 12,133 2,053 + 2,054 + … + 2,116 163 + 164 + … + 541
Aliquot sequence: 133,408 153,872 151,168 150,242 80,494 41,474 21,706 10,856 10,744 10,856 — enters a cycle

Continued fraction of √n

√133,408 = [365; (3, 1, 103, 1, 1, 1, 1, 4, 1, 14, 11, 1, 1, 8, 2, 80, 1, 2, 3, 1, 1, 1, 10, 1, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand four hundred eight
Ordinal
133408th
Binary
100000100100100000
Octal
404440
Hexadecimal
0x20920
Base64
Agkg
One's complement
4,294,833,887 (32-bit)
Scientific notation
1.33408 × 10⁵
As a duration
133,408 s = 1 day, 13 hours, 3 minutes, 28 seconds
In other bases
ternary (3) 20210000001
quaternary (4) 200210200
quinary (5) 13232113
senary (6) 2505344
septenary (7) 1063642
nonary (9) 223001
undecimal (11) 91260
duodecimal (12) 65254
tridecimal (13) 48952
tetradecimal (14) 36892
pentadecimal (15) 297dd

As an angle

133,408° = 370 × 360° + 208°
208° ≈ 3.63 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγυηʹ
Mayan (base 20)
𝋰·𝋭·𝋪·𝋨
Chinese
一十三萬三千四百零八
Chinese (financial)
壹拾參萬參仟肆佰零捌
In other modern scripts
Eastern Arabic ١٣٣٤٠٨ Devanagari १३३४०८ Bengali ১৩৩৪০৮ Tamil ௧௩௩௪௦௮ Thai ๑๓๓๔๐๘ Tibetan ༡༣༣༤༠༨ Khmer ១៣៣៤០៨ Lao ໑໓໓໔໐໘ Burmese ၁၃၃၄၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133408, here are decompositions:

  • 5 + 133403 = 133408
  • 17 + 133391 = 133408
  • 29 + 133379 = 133408
  • 59 + 133349 = 133408
  • 71 + 133337 = 133408
  • 89 + 133319 = 133408
  • 131 + 133277 = 133408
  • 137 + 133271 = 133408

Showing the first eight; more decompositions exist.

Unicode codepoint
𠤠
CJK Unified Ideograph-20920
U+20920
Other letter (Lo)

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

Hex color
#020920
RGB(2, 9, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.32.

Address
0.2.9.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.32

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 133,408 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading