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134,316

134,316 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.).

134,316 (one hundred thirty-four thousand three hundred sixteen) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3² × 7 × 13 × 41. Its proper divisors sum to 293,748, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20CAC.

Abundant Number Cube-Free Harshad / Niven Odious Number Pernicious Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
216
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
613,431
Square (n²)
18,040,787,856
Cube (n³)
2,423,166,461,666,496
Divisor count
72
σ(n) — sum of divisors
428,064
φ(n) — Euler's totient
34,560
Sum of prime factors
71

Primality

Prime factorization: 2 2 × 3 2 × 7 × 13 × 41

Nearest primes: 134,293 (−23) · 134,327 (+11)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 6 · 7 · 9 · 12 · 13 · 14 · 18 · 21 · 26 · 28 · 36 · 39 · 41 · 42 · 52 · 63 · 78 · 82 · 84 · 91 · 117 · 123 · 126 · 156 · 164 · 182 · 234 · 246 · 252 · 273 · 287 · 364 · 369 · 468 · 492 · 533 · 546 · 574 · 738 · 819 · 861 · 1066 · 1092 · 1148 · 1476 · 1599 · 1638 · 1722 · 2132 · 2583 · 3198 · 3276 · 3444 · 3731 · 4797 · 5166 · 6396 · 7462 · 9594 · 10332 · 11193 · 14924 · 19188 · 22386 · 33579 · 44772 · 67158 (half) · 134316
Aliquot sum (sum of proper divisors): 293,748
Factor pairs (a × b = 134,316)
1 × 134316
2 × 67158
3 × 44772
4 × 33579
6 × 22386
7 × 19188
9 × 14924
12 × 11193
13 × 10332
14 × 9594
18 × 7462
21 × 6396
26 × 5166
28 × 4797
36 × 3731
39 × 3444
41 × 3276
42 × 3198
52 × 2583
63 × 2132
78 × 1722
82 × 1638
84 × 1599
91 × 1476
117 × 1148
123 × 1092
126 × 1066
156 × 861
164 × 819
182 × 738
234 × 574
246 × 546
252 × 533
273 × 492
287 × 468
364 × 369
First multiples
134,316 · 268,632 (double) · 402,948 · 537,264 · 671,580 · 805,896 · 940,212 · 1,074,528 · 1,208,844 · 1,343,160

Sums & aliquot sequence

As consecutive integers: 44,771 + 44,772 + 44,773 19,185 + 19,186 + … + 19,191 16,786 + 16,787 + … + 16,793 14,920 + 14,921 + … + 14,928
Aliquot sequence: 134,316 293,748 552,972 979,188 1,632,204 3,528,756 8,352,204 13,920,564 23,201,164 23,408,756 25,964,428 25,964,484 52,740,156 87,900,484 87,900,540 233,175,684 394,461,564 — unresolved within range

Continued fraction of √n

√134,316 = [366; (2, 28, 1, 4, 1, 1, 5, 20, 5, 1, 1, 4, 1, 28, 2, 732)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-four thousand three hundred sixteen
Ordinal
134316th
Binary
100000110010101100
Octal
406254
Hexadecimal
0x20CAC
Base64
Agys
One's complement
4,294,832,979 (32-bit)
Scientific notation
1.34316 × 10⁵
As a duration
134,316 s = 1 day, 13 hours, 18 minutes, 36 seconds
In other bases
ternary (3) 20211020200
quaternary (4) 200302230
quinary (5) 13244231
senary (6) 2513500
septenary (7) 1066410
nonary (9) 224220
undecimal (11) 91a06
duodecimal (12) 65890
tridecimal (13) 491a0
tetradecimal (14) 36d40
pentadecimal (15) 29be6
Palindromic in base 5

As an angle

134,316° = 373 × 360° + 36°
36° ≈ 0.628 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλδτιϛʹ
Mayan (base 20)
𝋰·𝋯·𝋯·𝋰
Chinese
一十三萬四千三百一十六
Chinese (financial)
壹拾參萬肆仟參佰壹拾陸
In other modern scripts
Eastern Arabic ١٣٤٣١٦ Devanagari १३४३१६ Bengali ১৩৪৩১৬ Tamil ௧௩௪௩௧௬ Thai ๑๓๔๓๑๖ Tibetan ༡༣༤༣༡༦ Khmer ១៣៤៣១៦ Lao ໑໓໔໓໑໖ Burmese ၁၃၄၃၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 134316, here are decompositions:

  • 23 + 134293 = 134316
  • 29 + 134287 = 134316
  • 47 + 134269 = 134316
  • 53 + 134263 = 134316
  • 59 + 134257 = 134316
  • 73 + 134243 = 134316
  • 89 + 134227 = 134316
  • 97 + 134219 = 134316

Showing the first eight; more decompositions exist.

Unicode codepoint
𠲬
CJK Unified Ideograph-20Cac
U+20CAC
Other letter (Lo)

UTF-8 encoding: F0 A0 B2 AC (4 bytes).

Hex color
#020CAC
RGB(2, 12, 172)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.12.172.

Address
0.2.12.172
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.12.172

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 134,316 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°.