number.wiki
Live analysis

134,004

134,004 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.).

134,004 (one hundred thirty-four thousand four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 13 × 859. Its proper divisors sum to 203,116, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20B74.

Abundant Number Cube-Free Evil Number Harshad / Niven Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
400,431
Square (n²)
17,957,072,016
Cube (n³)
2,406,319,478,432,064
Divisor count
24
σ(n) — sum of divisors
337,120
φ(n) — Euler's totient
41,184
Sum of prime factors
879

Primality

Prime factorization: 2 2 × 3 × 13 × 859

Nearest primes: 133,999 (−5) · 134,033 (+29)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 13 · 26 · 39 · 52 · 78 · 156 · 859 · 1718 · 2577 · 3436 · 5154 · 10308 · 11167 · 22334 · 33501 · 44668 · 67002 (half) · 134004
Aliquot sum (sum of proper divisors): 203,116
Factor pairs (a × b = 134,004)
1 × 134004
2 × 67002
3 × 44668
4 × 33501
6 × 22334
12 × 11167
13 × 10308
26 × 5154
39 × 3436
52 × 2577
78 × 1718
156 × 859
First multiples
134,004 · 268,008 (double) · 402,012 · 536,016 · 670,020 · 804,024 · 938,028 · 1,072,032 · 1,206,036 · 1,340,040

Sums & aliquot sequence

As consecutive integers: 44,667 + 44,668 + 44,669 16,747 + 16,748 + … + 16,754 10,302 + 10,303 + … + 10,314 5,572 + 5,573 + … + 5,595
Aliquot sequence: 134,004 203,116 190,004 142,510 114,026 77,782 38,894 19,450 16,820 19,762 10,730 9,790 9,650 8,392 7,358 4,570 3,674 — unresolved within range

Continued fraction of √n

√134,004 = [366; (15, 3, 1, 45, 244, 45, 1, 3, 15, 732)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-four thousand four
Ordinal
134004th
Binary
100000101101110100
Octal
405564
Hexadecimal
0x20B74
Base64
Agt0
One's complement
4,294,833,291 (32-bit)
Scientific notation
1.34004 × 10⁵
As a duration
134,004 s = 1 day, 13 hours, 13 minutes, 24 seconds
In other bases
ternary (3) 20210211010
quaternary (4) 200231310
quinary (5) 13242004
senary (6) 2512220
septenary (7) 1065453
nonary (9) 223733
undecimal (11) 91752
duodecimal (12) 65670
tridecimal (13) 48cc0
tetradecimal (14) 36b9a
pentadecimal (15) 29a89

As an angle

134,004° = 372 × 360° + 84°
84° ≈ 1.466 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλδδʹ
Mayan (base 20)
𝋰·𝋯·𝋠·𝋤
Chinese
一十三萬四千零四
Chinese (financial)
壹拾參萬肆仟零肆
In other modern scripts
Eastern Arabic ١٣٤٠٠٤ Devanagari १३४००४ Bengali ১৩৪০০৪ Tamil ௧௩௪௦௦௪ Thai ๑๓๔๐๐๔ Tibetan ༡༣༤༠༠༤ Khmer ១៣៤០០៤ Lao ໑໓໔໐໐໔ Burmese ၁၃၄၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 134004, here are decompositions:

  • 5 + 133999 = 134004
  • 11 + 133993 = 134004
  • 23 + 133981 = 134004
  • 37 + 133967 = 134004
  • 41 + 133963 = 134004
  • 127 + 133877 = 134004
  • 131 + 133873 = 134004
  • 151 + 133853 = 134004

Showing the first eight; more decompositions exist.

Unicode codepoint
𠭴
CJK Unified Ideograph-20B74
U+20B74
Other letter (Lo)

UTF-8 encoding: F0 A0 AD B4 (4 bytes).

Hex color
#020B74
RGB(2, 11, 116)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.11.116.

Address
0.2.11.116
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.11.116

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 134,004 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 134004 first appears in π at position 81,050 of the decimal expansion (the 81,050ordinal-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

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