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134,134

134,134 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.).

134,134 (one hundred thirty-four thousand one hundred thirty-four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 7 × 11 × 13 × 67. Its proper divisors sum to 140,042, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20BF6.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
144
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
431,431
Square (n²)
17,991,929,956
Cube (n³)
2,413,329,532,718,104
Divisor count
32
σ(n) — sum of divisors
274,176
φ(n) — Euler's totient
47,520
Sum of prime factors
100

Primality

Prime factorization: 2 × 7 × 11 × 13 × 67

Nearest primes: 134,129 (−5) · 134,153 (+19)

Divisors & multiples

All divisors (32)
1 · 2 · 7 · 11 · 13 · 14 · 22 · 26 · 67 · 77 · 91 · 134 · 143 · 154 · 182 · 286 · 469 · 737 · 871 · 938 · 1001 · 1474 · 1742 · 2002 · 5159 · 6097 · 9581 · 10318 · 12194 · 19162 · 67067 (half) · 134134
Aliquot sum (sum of proper divisors): 140,042
Factor pairs (a × b = 134,134)
1 × 134134
2 × 67067
7 × 19162
11 × 12194
13 × 10318
14 × 9581
22 × 6097
26 × 5159
67 × 2002
77 × 1742
91 × 1474
134 × 1001
143 × 938
154 × 871
182 × 737
286 × 469
First multiples
134,134 · 268,268 (double) · 402,402 · 536,536 · 670,670 · 804,804 · 938,938 · 1,073,072 · 1,207,206 · 1,341,340

Sums & aliquot sequence

As consecutive integers: 33,532 + 33,533 + 33,534 + 33,535 19,159 + 19,160 + … + 19,165 12,189 + 12,190 + … + 12,199 10,312 + 10,313 + … + 10,324
Aliquot sequence: 134,134 140,042 104,488 97,292 86,164 76,320 189,036 302,364 486,060 875,076 1,166,796 1,782,696 2,674,104 4,115,016 7,316,184 11,069,736 16,604,664 — unresolved within range

Continued fraction of √n

√134,134 = [366; (4, 8, 1, 3, 1, 5, 56, 5, 1, 3, 1, 8, 4, 732)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-four thousand one hundred thirty-four
Ordinal
134134th
Binary
100000101111110110
Octal
405766
Hexadecimal
0x20BF6
Base64
Agv2
One's complement
4,294,833,161 (32-bit)
Scientific notation
1.34134 × 10⁵
As a duration
134,134 s = 1 day, 13 hours, 15 minutes, 34 seconds
In other bases
ternary (3) 20210222221
quaternary (4) 200233312
quinary (5) 13243014
senary (6) 2512554
septenary (7) 1066030
nonary (9) 223887
undecimal (11) 91860
duodecimal (12) 6575a
tridecimal (13) 49090
tetradecimal (14) 36c50
pentadecimal (15) 29b24

As an angle

134,134° = 372 × 360° + 214°
214° ≈ 3.735 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλδρλδʹ
Mayan (base 20)
𝋰·𝋯·𝋦·𝋮
Chinese
一十三萬四千一百三十四
Chinese (financial)
壹拾參萬肆仟壹佰參拾肆
In other modern scripts
Eastern Arabic ١٣٤١٣٤ Devanagari १३४१३४ Bengali ১৩৪১৩৪ Tamil ௧௩௪௧௩௪ Thai ๑๓๔๑๓๔ Tibetan ༡༣༤༡༣༤ Khmer ១៣៤១៣៤ Lao ໑໓໔໑໓໔ Burmese ၁၃၄၁၃၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 134134, here are decompositions:

  • 5 + 134129 = 134134
  • 41 + 134093 = 134134
  • 47 + 134087 = 134134
  • 53 + 134081 = 134134
  • 101 + 134033 = 134134
  • 167 + 133967 = 134134
  • 257 + 133877 = 134134
  • 281 + 133853 = 134134

Showing the first eight; more decompositions exist.

Unicode codepoint
𠯶
CJK Unified Ideograph-20Bf6
U+20BF6
Other letter (Lo)

UTF-8 encoding: F0 A0 AF B6 (4 bytes).

Hex color
#020BF6
RGB(2, 11, 246)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.11.246.

Address
0.2.11.246
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.11.246

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 134,134 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 134134 first appears in π at position 39,231 of the decimal expansion (the 39,231ordinal-suffix:st 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