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133,542

133,542 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.).

133,542 (one hundred thirty-three thousand five hundred forty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3³ × 2,473. Its proper divisors sum to 163,338, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x209A6.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
360
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
245,331
Square (n²)
17,833,465,764
Cube (n³)
2,381,516,685,056,088
Divisor count
16
σ(n) — sum of divisors
296,880
φ(n) — Euler's totient
44,496
Sum of prime factors
2,484

Primality

Prime factorization: 2 × 3 3 × 2473

Nearest primes: 133,541 (−1) · 133,543 (+1)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 9 · 18 · 27 · 54 · 2473 · 4946 · 7419 · 14838 · 22257 · 44514 · 66771 (half) · 133542
Aliquot sum (sum of proper divisors): 163,338
Factor pairs (a × b = 133,542)
1 × 133542
2 × 66771
3 × 44514
6 × 22257
9 × 14838
18 × 7419
27 × 4946
54 × 2473
First multiples
133,542 · 267,084 (double) · 400,626 · 534,168 · 667,710 · 801,252 · 934,794 · 1,068,336 · 1,201,878 · 1,335,420

Sums & aliquot sequence

As consecutive integers: 44,513 + 44,514 + 44,515 33,384 + 33,385 + 33,386 + 33,387 14,834 + 14,835 + … + 14,842 11,123 + 11,124 + … + 11,134
Aliquot sequence: 133,542 163,338 210,102 237,954 237,966 266,178 335,742 396,930 572,478 572,490 916,218 1,278,342 1,811,514 1,951,206 1,951,218 2,276,460 4,629,348 — unresolved within range

Continued fraction of √n

√133,542 = [365; (2, 3, 3, 2, 13, 9, 1, 14, 1, 80, 3, 1, 2, 3, 3, 1, 12, 1, 3, 3, 2, 1, 3, 80, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand five hundred forty-two
Ordinal
133542nd
Binary
100000100110100110
Octal
404646
Hexadecimal
0x209A6
Base64
Agmm
One's complement
4,294,833,753 (32-bit)
Scientific notation
1.33542 × 10⁵
As a duration
133,542 s = 1 day, 13 hours, 5 minutes, 42 seconds
In other bases
ternary (3) 20210012000
quaternary (4) 200212212
quinary (5) 13233132
senary (6) 2510130
septenary (7) 1064223
nonary (9) 223160
undecimal (11) 91372
duodecimal (12) 65346
tridecimal (13) 48a26
tetradecimal (14) 3694a
pentadecimal (15) 2987c

As an angle

133,542° = 370 × 360° + 342°
342° ≈ 5.969 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλγφμβʹ
Mayan (base 20)
𝋰·𝋭·𝋱·𝋢
Chinese
一十三萬三千五百四十二
Chinese (financial)
壹拾參萬參仟伍佰肆拾貳
In other modern scripts
Eastern Arabic ١٣٣٥٤٢ Devanagari १३३५४२ Bengali ১৩৩৫৪২ Tamil ௧௩௩௫௪௨ Thai ๑๓๓๕๔๒ Tibetan ༡༣༣༥༤༢ Khmer ១៣៣៥៤២ Lao ໑໓໓໕໔໒ Burmese ၁၃၃၅၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133542, here are decompositions:

  • 23 + 133519 = 133542
  • 43 + 133499 = 133542
  • 61 + 133481 = 133542
  • 103 + 133439 = 133542
  • 139 + 133403 = 133542
  • 151 + 133391 = 133542
  • 163 + 133379 = 133542
  • 191 + 133351 = 133542

Showing the first eight; more decompositions exist.

Unicode codepoint
𠦦
CJK Unified Ideograph-209A6
U+209A6
Other letter (Lo)

UTF-8 encoding: F0 A0 A6 A6 (4 bytes).

Hex color
#0209A6
RGB(2, 9, 166)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.166.

Address
0.2.9.166
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.166

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 133,542 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

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