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5,348

5,348 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.).

5,348 (five thousand three hundred forty-eight) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 191. Its proper divisors sum to 5,404, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x14E4.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
20
Digit product
480
Digital root
2
Palindrome
No
Bit width
13 bits
Reversed
8,435
Recamán's sequence
a(4,204) = 5,348
Square (n²)
28,601,104
Cube (n³)
152,958,704,192
Divisor count
12
σ(n) — sum of divisors
10,752
φ(n) — Euler's totient
2,280
Sum of prime factors
202

Primality

Prime factorization: 2 2 × 7 × 191

Nearest primes: 5,347 (−1) · 5,351 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 7 · 14 · 28 · 191 · 382 · 764 · 1337 · 2674 (half) · 5348
Aliquot sum (sum of proper divisors): 5,404
Factor pairs (a × b = 5,348)
1 × 5348
2 × 2674
4 × 1337
7 × 764
14 × 382
28 × 191
First multiples
5,348 · 10,696 (double) · 16,044 · 21,392 · 26,740 · 32,088 · 37,436 · 42,784 · 48,132 · 53,480

Sums & aliquot sequence

As consecutive integers: 761 + 762 + … + 767 665 + 666 + … + 672 68 + 69 + … + 123
Aliquot sequence: 5,348 5,404 5,460 13,356 25,956 49,756 49,812 83,244 138,964 144,326 127,978 67,322 36,250 34,040 48,040 60,140 71,572 — unresolved within range

Continued fraction of √n

√5,348 = [73; (7, 1, 2, 4, 4, 2, 20, 2, 4, 4, 2, 1, 7, 146)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
five thousand three hundred forty-eight
Ordinal
5348th
Binary
1010011100100
Octal
12344
Hexadecimal
0x14E4
Base64
FOQ=
One's complement
60,187 (16-bit)
Scientific notation
5.348 × 10³
As a duration
5,348 s = 1 hour, 29 minutes, 8 seconds
In other bases
ternary (3) 21100002
quaternary (4) 1103210
quinary (5) 132343
senary (6) 40432
septenary (7) 21410
nonary (9) 7302
undecimal (11) 4022
duodecimal (12) 3118
tridecimal (13) 2585
tetradecimal (14) 1d40
pentadecimal (15) 18b8

As an angle

5,348° = 14 × 360° + 308°
308° ≈ 5.376 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ετμηʹ
Mayan (base 20)
𝋭·𝋧·𝋨
Chinese
五千三百四十八
Chinese (financial)
伍仟參佰肆拾捌
In other modern scripts
Eastern Arabic ٥٣٤٨ Devanagari ५३४८ Bengali ৫৩৪৮ Tamil ௫௩௪௮ Thai ๕๓๔๘ Tibetan ༥༣༤༨ Khmer ៥៣៤៨ Lao ໕໓໔໘ Burmese ၅၃၄၈

Digit at this position in famous constants

π — Pi (π)
Digit 5,348 = 6
e — Euler's number (e)
Digit 5,348 = 8
φ — Golden ratio (φ)
Digit 5,348 = 9
√2 — Pythagoras's (√2)
Digit 5,348 = 8
ln 2 — Natural log of 2
Digit 5,348 = 6
γ — Euler-Mascheroni (γ)
Digit 5,348 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 5348, here are decompositions:

  • 67 + 5281 = 5348
  • 139 + 5209 = 5348
  • 151 + 5197 = 5348
  • 181 + 5167 = 5348
  • 229 + 5119 = 5348
  • 241 + 5107 = 5348
  • 271 + 5077 = 5348
  • 337 + 5011 = 5348

Showing the first eight; more decompositions exist.

Unicode codepoint
Canadian Syllabics Lwoo
U+14E4
Other letter (Lo)

UTF-8 encoding: E1 93 A4 (3 bytes).

Hex color
#0014E4
RGB(0, 20, 228)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.20.228.

Address
0.0.20.228
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.20.228

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

Musical pitch

Heard as a frequency, 5,348 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): E8 (5274 Hz, +24¢)
  • Scientific pitch (C4 = 256 Hz): F8 (5467.5 Hz, -38¢)
  • Baroque pitch (A4 = 415 Hz): F8 (5270.2 Hz, +25¢)
Position in π

The digit sequence 5348 first appears in π at position 16,696 of the decimal expansion (the 16,696ordinal-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

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