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27,300

27,300 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.).

27,300 (twenty-seven thousand three hundred) is an even 5-digit number. It is a composite number with 72 divisors, and factors as 2² × 3 × 5² × 7 × 13. Its proper divisors sum to 69,916, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x6AA4.

Abundant Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Weird Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
15 bits
Reversed
372
Recamán's sequence
a(163,487) = 27,300
Square (n²)
745,290,000
Cube (n³)
20,346,417,000,000
Divisor count
72
σ(n) — sum of divisors
97,216
φ(n) — Euler's totient
5,760
Sum of prime factors
37

Primality

Prime factorization: 2 2 × 3 × 5 2 × 7 × 13

Nearest primes: 27,299 (−1) · 27,329 (+29)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 10 · 12 · 13 · 14 · 15 · 20 · 21 · 25 · 26 · 28 · 30 · 35 · 39 · 42 · 50 · 52 · 60 · 65 · 70 · 75 · 78 · 84 · 91 · 100 · 105 · 130 · 140 · 150 · 156 · 175 · 182 · 195 · 210 · 260 · 273 · 300 · 325 · 350 · 364 · 390 · 420 · 455 · 525 · 546 · 650 · 700 · 780 · 910 · 975 · 1050 · 1092 · 1300 · 1365 · 1820 · 1950 · 2100 · 2275 · 2730 · 3900 · 4550 · 5460 · 6825 · 9100 · 13650 (half) · 27300
Aliquot sum (sum of proper divisors): 69,916
Factor pairs (a × b = 27,300)
1 × 27300
2 × 13650
3 × 9100
4 × 6825
5 × 5460
6 × 4550
7 × 3900
10 × 2730
12 × 2275
13 × 2100
14 × 1950
15 × 1820
20 × 1365
21 × 1300
25 × 1092
26 × 1050
28 × 975
30 × 910
35 × 780
39 × 700
42 × 650
50 × 546
52 × 525
60 × 455
65 × 420
70 × 390
75 × 364
78 × 350
84 × 325
91 × 300
100 × 273
105 × 260
130 × 210
140 × 195
150 × 182
156 × 175
First multiples
27,300 · 54,600 (double) · 81,900 · 109,200 · 136,500 · 163,800 · 191,100 · 218,400 · 245,700 · 273,000

Sums & aliquot sequence

As consecutive integers: 9,099 + 9,100 + 9,101 5,458 + 5,459 + 5,460 + 5,461 + 5,462 3,897 + 3,898 + … + 3,903 3,409 + 3,410 + … + 3,416
Aliquot sequence: 27,300 69,916 83,300 139,342 106,898 73,678 54,626 42,142 24,458 17,494 8,750 9,994 5,846 3,274 1,640 2,140 2,396 — unresolved within range

Continued fraction of √n

√27,300 = [165; (4, 2, 2, 12, 1, 4, 4, 4, 1, 12, 2, 2, 4, 330)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
twenty-seven thousand three hundred
Ordinal
27300th
Binary
110101010100100
Octal
65244
Hexadecimal
0x6AA4
Base64
aqQ=
One's complement
38,235 (16-bit)
Scientific notation
2.73 × 10⁴
As a duration
27,300 s = 7 hours, 35 minutes
In other bases
ternary (3) 1101110010
quaternary (4) 12222210
quinary (5) 1333200
senary (6) 330220
septenary (7) 142410
nonary (9) 41403
undecimal (11) 19569
duodecimal (12) 13970
tridecimal (13) c570
tetradecimal (14) 9d40
pentadecimal (15) 8150

As an angle

27,300° = 75 × 360° + 300°
300° ≈ 5.236 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢
Greek (Milesian)
͵κζτʹ
Mayan (base 20)
𝋣·𝋨·𝋥·𝋠
Chinese
二萬七千三百
Chinese (financial)
貳萬柒仟參佰
In other modern scripts
Eastern Arabic ٢٧٣٠٠ Devanagari २७३०० Bengali ২৭৩০০ Tamil ௨௭௩௦௦ Thai ๒๗๓๐๐ Tibetan ༢༧༣༠༠ Khmer ២៧៣០០ Lao ໒໗໓໐໐ Burmese ၂၇၃၀၀

Digit at this position in famous constants

π — Pi (π)
Digit 27,300 = 5
e — Euler's number (e)
Digit 27,300 = 6
φ — Golden ratio (φ)
Digit 27,300 = 0
√2 — Pythagoras's (√2)
Digit 27,300 = 5
ln 2 — Natural log of 2
Digit 27,300 = 5
γ — Euler-Mascheroni (γ)
Digit 27,300 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 27300, here are decompositions:

  • 17 + 27283 = 27300
  • 19 + 27281 = 27300
  • 23 + 27277 = 27300
  • 29 + 27271 = 27300
  • 41 + 27259 = 27300
  • 47 + 27253 = 27300
  • 59 + 27241 = 27300
  • 61 + 27239 = 27300

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-6Aa4
U+6AA4
Other letter (Lo)

UTF-8 encoding: E6 AA A4 (3 bytes).

Hex color
#006AA4
RGB(0, 106, 164)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.106.164.

Address
0.0.106.164
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.106.164

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 27300 first appears in π at position 26,778 of the decimal expansion (the 26,778ordinal-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°.