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133,404

133,404 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.).

133,404 (one hundred thirty-three thousand four hundred four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 11,117. Its proper divisors sum to 177,900, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2091C.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
404,331
Recamán's sequence
a(35,468) = 133,404
Square (n²)
17,796,627,216
Cube (n³)
2,374,141,257,123,264
Divisor count
12
σ(n) — sum of divisors
311,304
φ(n) — Euler's totient
44,464
Sum of prime factors
11,124

Primality

Prime factorization: 2 2 × 3 × 11117

Nearest primes: 133,403 (−1) · 133,417 (+13)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 11117 · 22234 · 33351 · 44468 · 66702 (half) · 133404
Aliquot sum (sum of proper divisors): 177,900
Factor pairs (a × b = 133,404)
1 × 133404
2 × 66702
3 × 44468
4 × 33351
6 × 22234
12 × 11117
First multiples
133,404 · 266,808 (double) · 400,212 · 533,616 · 667,020 · 800,424 · 933,828 · 1,067,232 · 1,200,636 · 1,334,040

Sums & aliquot sequence

As consecutive integers: 44,467 + 44,468 + 44,469 16,672 + 16,673 + … + 16,679 5,547 + 5,548 + … + 5,570
Aliquot sequence: 133,404 177,900 337,692 460,644 661,596 1,001,268 1,650,892 1,279,364 1,102,036 974,976 1,615,824 3,667,506 3,726,798 3,726,810 6,623,046 8,217,846 14,583,114 — unresolved within range

Continued fraction of √n

√133,404 = [365; (4, 12, 1, 1, 3, 3, 3, 1, 1, 2, 1, 1, 2, 1, 1, 17, 1, 2, 7, 2, 1, 6, 48, 1, …)]

Representations

In words
one hundred thirty-three thousand four hundred four
Ordinal
133404th
Binary
100000100100011100
Octal
404434
Hexadecimal
0x2091C
Base64
Agkc
One's complement
4,294,833,891 (32-bit)
Scientific notation
1.33404 × 10⁵
As a duration
133,404 s = 1 day, 13 hours, 3 minutes, 24 seconds
In other bases
ternary (3) 20202222220
quaternary (4) 200210130
quinary (5) 13232104
senary (6) 2505340
septenary (7) 1063635
nonary (9) 222886
undecimal (11) 91257
duodecimal (12) 65250
tridecimal (13) 4894b
tetradecimal (14) 3688c
pentadecimal (15) 297d9

As an angle

133,404° = 370 × 360° + 204°
204° ≈ 3.56 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγυδʹ
Mayan (base 20)
𝋰·𝋭·𝋪·𝋤
Chinese
一十三萬三千四百零四
Chinese (financial)
壹拾參萬參仟肆佰零肆
In other modern scripts
Eastern Arabic ١٣٣٤٠٤ Devanagari १३३४०४ Bengali ১৩৩৪০৪ Tamil ௧௩௩௪௦௪ Thai ๑๓๓๔๐๔ Tibetan ༡༣༣༤༠༤ Khmer ១៣៣៤០៤ Lao ໑໓໓໔໐໔ Burmese ၁၃၃၄၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133404, here are decompositions:

  • 13 + 133391 = 133404
  • 17 + 133387 = 133404
  • 53 + 133351 = 133404
  • 67 + 133337 = 133404
  • 83 + 133321 = 133404
  • 101 + 133303 = 133404
  • 127 + 133277 = 133404
  • 151 + 133253 = 133404

Showing the first eight; more decompositions exist.

Unicode codepoint
𠤜
CJK Unified Ideograph-2091C
U+2091C
Other letter (Lo)

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

Hex color
#02091C
RGB(2, 9, 28)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.28.

Address
0.2.9.28
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.28

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 133,404 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 133404 first appears in π at position 498,989 of the decimal expansion (the 498,989ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.