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5,264

5,264 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.).

5,264 (five thousand two hundred sixty-four) is an even 4-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 7 × 47. Its proper divisors sum to 6,640, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1490.

Abundant Number Evil Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
17
Digit product
240
Digital root
8
Palindrome
No
Bit width
13 bits
Reversed
4,625
Recamán's sequence
a(27,908) = 5,264
Square (n²)
27,709,696
Cube (n³)
145,863,839,744
Divisor count
20
σ(n) — sum of divisors
11,904
φ(n) — Euler's totient
2,208
Sum of prime factors
62

Primality

Prime factorization: 2 4 × 7 × 47

Nearest primes: 5,261 (−3) · 5,273 (+9)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 47 · 56 · 94 · 112 · 188 · 329 · 376 · 658 · 752 · 1316 · 2632 (half) · 5264
Aliquot sum (sum of proper divisors): 6,640
Factor pairs (a × b = 5,264)
1 × 5264
2 × 2632
4 × 1316
7 × 752
8 × 658
14 × 376
16 × 329
28 × 188
47 × 112
56 × 94
First multiples
5,264 · 10,528 (double) · 15,792 · 21,056 · 26,320 · 31,584 · 36,848 · 42,112 · 47,376 · 52,640

Sums & aliquot sequence

As consecutive integers: 749 + 750 + … + 755 149 + 150 + … + 180 89 + 90 + … + 135
Aliquot sequence: 5,264 6,640 8,984 7,876 7,244 5,440 8,276 6,214 3,866 1,936 2,187 1,093 1 0 — terminates at zero

Continued fraction of √n

√5,264 = [72; (1, 1, 4, 5, 1, 1, 2, 1, 1, 5, 4, 1, 1, 144)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
five thousand two hundred sixty-four
Ordinal
5264th
Binary
1010010010000
Octal
12220
Hexadecimal
0x1490
Base64
FJA=
One's complement
60,271 (16-bit)
Scientific notation
5.264 × 10³
As a duration
5,264 s = 1 hour, 27 minutes, 44 seconds
In other bases
ternary (3) 21012222
quaternary (4) 1102100
quinary (5) 132024
senary (6) 40212
septenary (7) 21230
nonary (9) 7188
undecimal (11) 3a56
duodecimal (12) 3068
tridecimal (13) 251c
tetradecimal (14) 1cc0
pentadecimal (15) 185e

As an angle

5,264° = 14 × 360° + 224°
224° ≈ 3.91 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵εσξδʹ
Mayan (base 20)
𝋭·𝋣·𝋤
Chinese
五千二百六十四
Chinese (financial)
伍仟貳佰陸拾肆
In other modern scripts
Eastern Arabic ٥٢٦٤ Devanagari ५२६४ Bengali ৫২৬৪ Tamil ௫௨௬௪ Thai ๕๒๖๔ Tibetan ༥༢༦༤ Khmer ៥២៦៤ Lao ໕໒໖໔ Burmese ၅၂၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 5,264 = 3
e — Euler's number (e)
Digit 5,264 = 3
φ — Golden ratio (φ)
Digit 5,264 = 7
√2 — Pythagoras's (√2)
Digit 5,264 = 0
ln 2 — Natural log of 2
Digit 5,264 = 8
γ — Euler-Mascheroni (γ)
Digit 5,264 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 5264, here are decompositions:

  • 3 + 5261 = 5264
  • 31 + 5233 = 5264
  • 37 + 5227 = 5264
  • 67 + 5197 = 5264
  • 97 + 5167 = 5264
  • 151 + 5113 = 5264
  • 157 + 5107 = 5264
  • 163 + 5101 = 5264

Showing the first eight; more decompositions exist.

Unicode codepoint
Canadian Syllabics Ca
U+1490
Other letter (Lo)

UTF-8 encoding: E1 92 90 (3 bytes).

Hex color
#001490
RGB(0, 20, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.20.144.

Address
0.0.20.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.20.144

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

Musical pitch

Heard as a frequency, 5,264 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): E8 (5274 Hz, -3¢)
  • Scientific pitch (C4 = 256 Hz): E8 (5160.6 Hz, +34¢)
  • Baroque pitch (A4 = 415 Hz): F8 (5270.2 Hz, -2¢)
Position in π

The digit sequence 5264 first appears in π at position 18,733 of the decimal expansion (the 18,733ordinal-suffix:rd 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.