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133,484

133,484 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.).

133,484 (one hundred thirty-three thousand four hundred eighty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 13 × 17 × 151. Its proper divisors sum to 134,644, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2096C.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Recamán's Sequence Semiperfect Number Smith Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
1,152
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
484,331
Recamán's sequence
a(35,628) = 133,484
Square (n²)
17,817,978,256
Cube (n³)
2,378,415,009,523,904
Divisor count
24
σ(n) — sum of divisors
268,128
φ(n) — Euler's totient
57,600
Sum of prime factors
185

Primality

Prime factorization: 2 2 × 13 × 17 × 151

Nearest primes: 133,481 (−3) · 133,493 (+9)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 13 · 17 · 26 · 34 · 52 · 68 · 151 · 221 · 302 · 442 · 604 · 884 · 1963 · 2567 · 3926 · 5134 · 7852 · 10268 · 33371 · 66742 (half) · 133484
Aliquot sum (sum of proper divisors): 134,644
Factor pairs (a × b = 133,484)
1 × 133484
2 × 66742
4 × 33371
13 × 10268
17 × 7852
26 × 5134
34 × 3926
52 × 2567
68 × 1963
151 × 884
221 × 604
302 × 442
First multiples
133,484 · 266,968 (double) · 400,452 · 533,936 · 667,420 · 800,904 · 934,388 · 1,067,872 · 1,201,356 · 1,334,840

Sums & aliquot sequence

As consecutive integers: 16,682 + 16,683 + … + 16,689 10,262 + 10,263 + … + 10,274 7,844 + 7,845 + … + 7,860 1,232 + 1,233 + … + 1,335
Aliquot sequence: 133,484 134,644 107,024 100,366 75,890 60,730 48,602 28,198 16,010 12,826 8,720 11,740 12,956 10,564 9,036 13,896 23,934 — unresolved within range

Continued fraction of √n

√133,484 = [365; (2, 1, 4, 1, 1, 4, 3, 1, 6, 3, 1, 4, 20, 1, 2, 182, 2, 1, 20, 4, 1, 3, 6, 1, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand four hundred eighty-four
Ordinal
133484th
Binary
100000100101101100
Octal
404554
Hexadecimal
0x2096C
Base64
Agls
One's complement
4,294,833,811 (32-bit)
Scientific notation
1.33484 × 10⁵
As a duration
133,484 s = 1 day, 13 hours, 4 minutes, 44 seconds
In other bases
ternary (3) 20210002212
quaternary (4) 200211230
quinary (5) 13232414
senary (6) 2505552
septenary (7) 1064111
nonary (9) 223085
undecimal (11) 9131a
duodecimal (12) 652b8
tridecimal (13) 489b0
tetradecimal (14) 36908
pentadecimal (15) 2983e

As an angle

133,484° = 370 × 360° + 284°
284° ≈ 4.957 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγυπδʹ
Mayan (base 20)
𝋰·𝋭·𝋮·𝋤
Chinese
一十三萬三千四百八十四
Chinese (financial)
壹拾參萬參仟肆佰捌拾肆
In other modern scripts
Eastern Arabic ١٣٣٤٨٤ Devanagari १३३४८४ Bengali ১৩৩৪৮৪ Tamil ௧௩௩௪௮௪ Thai ๑๓๓๔๘๔ Tibetan ༡༣༣༤༨༤ Khmer ១៣៣៤៨៤ Lao ໑໓໓໔໘໔ Burmese ၁၃၃၄၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133484, here are decompositions:

  • 3 + 133481 = 133484
  • 37 + 133447 = 133484
  • 67 + 133417 = 133484
  • 97 + 133387 = 133484
  • 157 + 133327 = 133484
  • 163 + 133321 = 133484
  • 181 + 133303 = 133484
  • 223 + 133261 = 133484

Showing the first eight; more decompositions exist.

Unicode codepoint
𠥬
CJK Unified Ideograph-2096C
U+2096C
Other letter (Lo)

UTF-8 encoding: F0 A0 A5 AC (4 bytes).

Hex color
#02096C
RGB(2, 9, 108)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.108.

Address
0.2.9.108
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.108

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 133,484 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 133484 first appears in π at position 300,390 of the decimal expansion (the 300,390ordinal-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.