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135,304

135,304 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.).

135,304 (one hundred thirty-five thousand three hundred four) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 13 × 1,301. Its proper divisors sum to 138,116, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21088.

Abundant Number Evil Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
403,531
Square (n²)
18,307,172,416
Cube (n³)
2,477,033,656,574,464
Divisor count
16
σ(n) — sum of divisors
273,420
φ(n) — Euler's totient
62,400
Sum of prime factors
1,320

Primality

Prime factorization: 2 3 × 13 × 1301

Nearest primes: 135,301 (−3) · 135,319 (+15)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 13 · 26 · 52 · 104 · 1301 · 2602 · 5204 · 10408 · 16913 · 33826 · 67652 (half) · 135304
Aliquot sum (sum of proper divisors): 138,116
Factor pairs (a × b = 135,304)
1 × 135304
2 × 67652
4 × 33826
8 × 16913
13 × 10408
26 × 5204
52 × 2602
104 × 1301
First multiples
135,304 · 270,608 (double) · 405,912 · 541,216 · 676,520 · 811,824 · 947,128 · 1,082,432 · 1,217,736 · 1,353,040

Sums & aliquot sequence

As a sum of two squares: 198² + 310² = 210² + 302²
As consecutive integers: 10,402 + 10,403 + … + 10,414 8,449 + 8,450 + … + 8,464 547 + 548 + … + 754
Aliquot sequence: 135,304 138,116 135,388 139,796 104,854 54,266 29,158 15,482 7,744 9,147 3,053 115 29 1 0 — terminates at zero

Continued fraction of √n

√135,304 = [367; (1, 5, 7, 1, 1, 2, 1, 2, 1, 4, 12, 1, 12, 2, 4, 1, 1, 1, 31, 2, 1, 14, 2, 1, …)]

Representations

In words
one hundred thirty-five thousand three hundred four
Ordinal
135304th
Binary
100001000010001000
Octal
410210
Hexadecimal
0x21088
Base64
AhCI
One's complement
4,294,831,991 (32-bit)
Scientific notation
1.35304 × 10⁵
As a duration
135,304 s = 1 day, 13 hours, 35 minutes, 4 seconds
In other bases
ternary (3) 20212121021
quaternary (4) 201002020
quinary (5) 13312204
senary (6) 2522224
septenary (7) 1102321
nonary (9) 225537
undecimal (11) 92724
duodecimal (12) 66374
tridecimal (13) 49780
tetradecimal (14) 37448
pentadecimal (15) 2a154

As an angle

135,304° = 375 × 360° + 304°
304° ≈ 5.306 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλετδʹ
Mayan (base 20)
𝋰·𝋲·𝋥·𝋤
Chinese
一十三萬五千三百零四
Chinese (financial)
壹拾參萬伍仟參佰零肆
In other modern scripts
Eastern Arabic ١٣٥٣٠٤ Devanagari १३५३०४ Bengali ১৩৫৩০৪ Tamil ௧௩௫௩௦௪ Thai ๑๓๕๓๐๔ Tibetan ༡༣༥༣༠༤ Khmer ១៣៥៣០៤ Lao ໑໓໕໓໐໔ Burmese ၁၃၅၃၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135304, here are decompositions:

  • 3 + 135301 = 135304
  • 23 + 135281 = 135304
  • 47 + 135257 = 135304
  • 83 + 135221 = 135304
  • 107 + 135197 = 135304
  • 131 + 135173 = 135304
  • 173 + 135131 = 135304
  • 227 + 135077 = 135304

Showing the first eight; more decompositions exist.

Unicode codepoint
𡂈
CJK Unified Ideograph-21088
U+21088
Other letter (Lo)

UTF-8 encoding: F0 A1 82 88 (4 bytes).

Hex color
#021088
RGB(2, 16, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.16.136.

Address
0.2.16.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.16.136

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 135,304 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 135304 first appears in π at position 978,407 of the decimal expansion (the 978,407ordinal-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