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27,144

27,144 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.).

27,144 (twenty-seven thousand one hundred forty-four) is an even 5-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3² × 13 × 29. Its proper divisors sum to 54,756, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x6A08.

Abundant Number Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
18
Digit product
224
Digital root
9
Palindrome
No
Bit width
15 bits
Reversed
44,172
Square (n²)
736,796,736
Cube (n³)
19,999,610,601,984
Divisor count
48
σ(n) — sum of divisors
81,900
φ(n) — Euler's totient
8,064
Sum of prime factors
54

Primality

Prime factorization: 2 3 × 3 2 × 13 × 29

Nearest primes: 27,143 (−1) · 27,179 (+35)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 13 · 18 · 24 · 26 · 29 · 36 · 39 · 52 · 58 · 72 · 78 · 87 · 104 · 116 · 117 · 156 · 174 · 232 · 234 · 261 · 312 · 348 · 377 · 468 · 522 · 696 · 754 · 936 · 1044 · 1131 · 1508 · 2088 · 2262 · 3016 · 3393 · 4524 · 6786 · 9048 · 13572 (half) · 27144
Aliquot sum (sum of proper divisors): 54,756
Factor pairs (a × b = 27,144)
1 × 27144
2 × 13572
3 × 9048
4 × 6786
6 × 4524
8 × 3393
9 × 3016
12 × 2262
13 × 2088
18 × 1508
24 × 1131
26 × 1044
29 × 936
36 × 754
39 × 696
52 × 522
58 × 468
72 × 377
78 × 348
87 × 312
104 × 261
116 × 234
117 × 232
156 × 174
First multiples
27,144 · 54,288 (double) · 81,432 · 108,576 · 135,720 · 162,864 · 190,008 · 217,152 · 244,296 · 271,440

Sums & aliquot sequence

As a sum of two squares: 30² + 162² = 90² + 138²
As consecutive integers: 9,047 + 9,048 + 9,049 3,012 + 3,013 + … + 3,020 2,082 + 2,083 + … + 2,094 1,689 + 1,690 + … + 1,704
Aliquot sequence: 27,144 54,756 100,245 65,067 27,837 13,443 4,485 3,579 1,197 883 1 0 — terminates at zero

Continued fraction of √n

√27,144 = [164; (1, 3, 14, 13, 9, 13, 14, 3, 1, 328)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
twenty-seven thousand one hundred forty-four
Ordinal
27144th
Binary
110101000001000
Octal
65010
Hexadecimal
0x6A08
Base64
agg=
One's complement
38,391 (16-bit)
Scientific notation
2.7144 × 10⁴
As a duration
27,144 s = 7 hours, 32 minutes, 24 seconds
In other bases
ternary (3) 1101020100
quaternary (4) 12220020
quinary (5) 1332034
senary (6) 325400
septenary (7) 142065
nonary (9) 41210
undecimal (11) 19437
duodecimal (12) 13860
tridecimal (13) c480
tetradecimal (14) 9c6c
pentadecimal (15) 8099

As an angle

27,144° = 75 × 360° + 144°
144° ≈ 2.513 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵κζρμδʹ
Mayan (base 20)
𝋣·𝋧·𝋱·𝋤
Chinese
二萬七千一百四十四
Chinese (financial)
貳萬柒仟壹佰肆拾肆
In other modern scripts
Eastern Arabic ٢٧١٤٤ Devanagari २७१४४ Bengali ২৭১৪৪ Tamil ௨௭௧௪௪ Thai ๒๗๑๔๔ Tibetan ༢༧༡༤༤ Khmer ២៧១៤៤ Lao ໒໗໑໔໔ Burmese ၂၇၁၄၄

Digit at this position in famous constants

π — Pi (π)
Digit 27,144 = 6
e — Euler's number (e)
Digit 27,144 = 2
φ — Golden ratio (φ)
Digit 27,144 = 7
√2 — Pythagoras's (√2)
Digit 27,144 = 9
ln 2 — Natural log of 2
Digit 27,144 = 5
γ — Euler-Mascheroni (γ)
Digit 27,144 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 27144, here are decompositions:

  • 17 + 27127 = 27144
  • 37 + 27107 = 27144
  • 41 + 27103 = 27144
  • 53 + 27091 = 27144
  • 67 + 27077 = 27144
  • 71 + 27073 = 27144
  • 83 + 27061 = 27144
  • 101 + 27043 = 27144

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-6A08
U+6A08
Other letter (Lo)

UTF-8 encoding: E6 A8 88 (3 bytes).

Hex color
#006A08
RGB(0, 106, 8)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.106.8.

Address
0.0.106.8
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.106.8

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

Position in π

The digit sequence 27144 first appears in π at position 90,739 of the decimal expansion (the 90,739ordinal-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°.