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134,504

134,504 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.).

134,504 (one hundred thirty-four thousand five hundred four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 17 × 23 × 43. Its proper divisors sum to 150,616, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20D68.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
405,431
Square (n²)
18,091,326,016
Cube (n³)
2,433,355,714,456,064
Divisor count
32
σ(n) — sum of divisors
285,120
φ(n) — Euler's totient
59,136
Sum of prime factors
89

Primality

Prime factorization: 2 3 × 17 × 23 × 43

Nearest primes: 134,503 (−1) · 134,507 (+3)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 8 · 17 · 23 · 34 · 43 · 46 · 68 · 86 · 92 · 136 · 172 · 184 · 344 · 391 · 731 · 782 · 989 · 1462 · 1564 · 1978 · 2924 · 3128 · 3956 · 5848 · 7912 · 16813 · 33626 · 67252 (half) · 134504
Aliquot sum (sum of proper divisors): 150,616
Factor pairs (a × b = 134,504)
1 × 134504
2 × 67252
4 × 33626
8 × 16813
17 × 7912
23 × 5848
34 × 3956
43 × 3128
46 × 2924
68 × 1978
86 × 1564
92 × 1462
136 × 989
172 × 782
184 × 731
344 × 391
First multiples
134,504 · 269,008 (double) · 403,512 · 538,016 · 672,520 · 807,024 · 941,528 · 1,076,032 · 1,210,536 · 1,345,040

Sums & aliquot sequence

As consecutive integers: 8,399 + 8,400 + … + 8,414 7,904 + 7,905 + … + 7,920 5,837 + 5,838 + … + 5,859 3,107 + 3,108 + … + 3,149
Aliquot sequence: 134,504 150,616 137,024 135,010 119,006 61,114 30,560 42,016 47,948 35,968 35,942 17,974 13,706 12,214 6,794 3,766 2,714 — unresolved within range

Continued fraction of √n

√134,504 = [366; (1, 2, 1, 28, 1, 1, 2, 3, 1, 1, 3, 3, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 2, 1, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-four thousand five hundred four
Ordinal
134504th
Binary
100000110101101000
Octal
406550
Hexadecimal
0x20D68
Base64
Ag1o
One's complement
4,294,832,791 (32-bit)
Scientific notation
1.34504 × 10⁵
As a duration
134,504 s = 1 day, 13 hours, 21 minutes, 44 seconds
In other bases
ternary (3) 20211111122
quaternary (4) 200311220
quinary (5) 13301004
senary (6) 2514412
septenary (7) 1100066
nonary (9) 224448
undecimal (11) 92067
duodecimal (12) 65a08
tridecimal (13) 492b6
tetradecimal (14) 37036
pentadecimal (15) 29cbe

As an angle

134,504° = 373 × 360° + 224°
224° ≈ 3.91 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλδφδʹ
Mayan (base 20)
𝋰·𝋰·𝋥·𝋤
Chinese
一十三萬四千五百零四
Chinese (financial)
壹拾參萬肆仟伍佰零肆
In other modern scripts
Eastern Arabic ١٣٤٥٠٤ Devanagari १३४५०४ Bengali ১৩৪৫০৪ Tamil ௧௩௪௫௦௪ Thai ๑๓๔๕๐๔ Tibetan ༡༣༤༥༠༤ Khmer ១៣៤៥០៤ Lao ໑໓໔໕໐໔ Burmese ၁၃၄၅၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 134504, here are decompositions:

  • 61 + 134443 = 134504
  • 67 + 134437 = 134504
  • 103 + 134401 = 134504
  • 151 + 134353 = 134504
  • 163 + 134341 = 134504
  • 211 + 134293 = 134504
  • 241 + 134263 = 134504
  • 277 + 134227 = 134504

Showing the first eight; more decompositions exist.

Unicode codepoint
𠵨
CJK Unified Ideograph-20D68
U+20D68
Other letter (Lo)

UTF-8 encoding: F0 A0 B5 A8 (4 bytes).

Hex color
#020D68
RGB(2, 13, 104)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.13.104.

Address
0.2.13.104
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.13.104

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 134,504 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 134504 first appears in π at position 606,881 of the decimal expansion (the 606,881ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.