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133,734

133,734 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.).

133,734 (one hundred thirty-three thousand seven hundred thirty-four) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 31 × 719. Its proper divisors sum to 142,746, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20A66.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Self Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
756
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
437,331
Square (n²)
17,884,782,756
Cube (n³)
2,391,803,537,090,904
Divisor count
16
σ(n) — sum of divisors
276,480
φ(n) — Euler's totient
43,080
Sum of prime factors
755

Primality

Prime factorization: 2 × 3 × 31 × 719

Nearest primes: 133,733 (−1) · 133,769 (+35)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 31 · 62 · 93 · 186 · 719 · 1438 · 2157 · 4314 · 22289 · 44578 · 66867 (half) · 133734
Aliquot sum (sum of proper divisors): 142,746
Factor pairs (a × b = 133,734)
1 × 133734
2 × 66867
3 × 44578
6 × 22289
31 × 4314
62 × 2157
93 × 1438
186 × 719
First multiples
133,734 · 267,468 (double) · 401,202 · 534,936 · 668,670 · 802,404 · 936,138 · 1,069,872 · 1,203,606 · 1,337,340

Sums & aliquot sequence

As consecutive integers: 44,577 + 44,578 + 44,579 33,432 + 33,433 + 33,434 + 33,435 11,139 + 11,140 + … + 11,150 4,299 + 4,300 + … + 4,329
Aliquot sequence: 133,734 142,746 150,918 150,930 292,590 468,378 546,480 1,596,240 3,909,360 11,089,680 31,657,584 61,808,656 85,584,688 103,924,512 199,191,168 431,288,682 518,048,598 — unresolved within range

Continued fraction of √n

√133,734 = [365; (1, 2, 3, 2, 1, 1, 1, 3, 8, 4, 2, 1, 2, 1, 2, 2, 4, 1, 1, 2, 2, 1, 2, 72, …)]

Representations

In words
one hundred thirty-three thousand seven hundred thirty-four
Ordinal
133734th
Binary
100000101001100110
Octal
405146
Hexadecimal
0x20A66
Base64
Agpm
One's complement
4,294,833,561 (32-bit)
Scientific notation
1.33734 × 10⁵
As a duration
133,734 s = 1 day, 13 hours, 8 minutes, 54 seconds
In other bases
ternary (3) 20210110010
quaternary (4) 200221212
quinary (5) 13234414
senary (6) 2511050
septenary (7) 1064616
nonary (9) 223403
undecimal (11) 91527
duodecimal (12) 65486
tridecimal (13) 48b43
tetradecimal (14) 36a46
pentadecimal (15) 29959

As an angle

133,734° = 371 × 360° + 174°
174° ≈ 3.037 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγψλδʹ
Mayan (base 20)
𝋰·𝋮·𝋦·𝋮
Chinese
一十三萬三千七百三十四
Chinese (financial)
壹拾參萬參仟柒佰參拾肆
In other modern scripts
Eastern Arabic ١٣٣٧٣٤ Devanagari १३३७३४ Bengali ১৩৩৭৩৪ Tamil ௧௩௩௭௩௪ Thai ๑๓๓๗๓๔ Tibetan ༡༣༣༧༣༤ Khmer ១៣៣៧៣៤ Lao ໑໓໓໗໓໔ Burmese ၁၃၃၇၃၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133734, here are decompositions:

  • 11 + 133723 = 133734
  • 17 + 133717 = 133734
  • 23 + 133711 = 133734
  • 37 + 133697 = 133734
  • 43 + 133691 = 133734
  • 61 + 133673 = 133734
  • 101 + 133633 = 133734
  • 103 + 133631 = 133734

Showing the first eight; more decompositions exist.

Unicode codepoint
𠩦
CJK Unified Ideograph-20A66
U+20A66
Other letter (Lo)

UTF-8 encoding: F0 A0 A9 A6 (4 bytes).

Hex color
#020A66
RGB(2, 10, 102)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.102.

Address
0.2.10.102
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.102

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 133,734 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°.