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5,364

5,364 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.).

5,364 (five thousand three hundred sixty-four) is an even 4-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 149. Its proper divisors sum to 8,286, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x14F4.

Abundant Number Cube-Free Happy Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
18
Digit product
360
Digital root
9
Palindrome
No
Bit width
13 bits
Reversed
4,635
Recamán's sequence
a(2,500) = 5,364
Square (n²)
28,772,496
Cube (n³)
154,335,668,544
Divisor count
18
σ(n) — sum of divisors
13,650
φ(n) — Euler's totient
1,776
Sum of prime factors
159

Primality

Prime factorization: 2 2 × 3 2 × 149

Nearest primes: 5,351 (−13) · 5,381 (+17)

Divisors & multiples

All divisors (18)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 149 · 298 · 447 · 596 · 894 · 1341 · 1788 · 2682 (half) · 5364
Aliquot sum (sum of proper divisors): 8,286
Factor pairs (a × b = 5,364)
1 × 5364
2 × 2682
3 × 1788
4 × 1341
6 × 894
9 × 596
12 × 447
18 × 298
36 × 149
First multiples
5,364 · 10,728 (double) · 16,092 · 21,456 · 26,820 · 32,184 · 37,548 · 42,912 · 48,276 · 53,640

Sums & aliquot sequence

As a sum of two squares: 42² + 60²
As consecutive integers: 1,787 + 1,788 + 1,789 667 + 668 + … + 674 592 + 593 + … + 600 212 + 213 + … + 235
Aliquot sequence: 5,364 8,286 8,298 9,720 23,040 56,754 69,486 73,698 76,638 80,178 113,358 145,842 149,838 194,898 230,478 236,082 371,310 — unresolved within range

Continued fraction of √n

√5,364 = [73; (4, 5, 1, 1, 1, 1, 3, 1, 1, 2, 1, 2, 3, 1, 2, 2, 1, 8, 2, 4, 1, 3, 7, 16, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
five thousand three hundred sixty-four
Ordinal
5364th
Binary
1010011110100
Octal
12364
Hexadecimal
0x14F4
Base64
FPQ=
One's complement
60,171 (16-bit)
Scientific notation
5.364 × 10³
As a duration
5,364 s = 1 hour, 29 minutes, 24 seconds
In other bases
ternary (3) 21100200
quaternary (4) 1103310
quinary (5) 132424
senary (6) 40500
septenary (7) 21432
nonary (9) 7320
undecimal (11) 4037
duodecimal (12) 3130
tridecimal (13) 2598
tetradecimal (14) 1d52
pentadecimal (15) 18c9

As an angle

5,364° = 14 × 360° + 324°
324° ≈ 5.655 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ετξδʹ
Mayan (base 20)
𝋭·𝋨·𝋤
Chinese
五千三百六十四
Chinese (financial)
伍仟參佰陸拾肆
In other modern scripts
Eastern Arabic ٥٣٦٤ Devanagari ५३६४ Bengali ৫৩৬৪ Tamil ௫௩௬௪ Thai ๕๓๖๔ Tibetan ༥༣༦༤ Khmer ៥៣៦៤ Lao ໕໓໖໔ Burmese ၅၃၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 5,364 = 0
e — Euler's number (e)
Digit 5,364 = 1
φ — Golden ratio (φ)
Digit 5,364 = 0
√2 — Pythagoras's (√2)
Digit 5,364 = 1
ln 2 — Natural log of 2
Digit 5,364 = 6
γ — Euler-Mascheroni (γ)
Digit 5,364 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 5364, here are decompositions:

  • 13 + 5351 = 5364
  • 17 + 5347 = 5364
  • 31 + 5333 = 5364
  • 41 + 5323 = 5364
  • 61 + 5303 = 5364
  • 67 + 5297 = 5364
  • 83 + 5281 = 5364
  • 103 + 5261 = 5364

Showing the first eight; more decompositions exist.

Unicode codepoint
Canadian Syllabics Sa
U+14F4
Other letter (Lo)

UTF-8 encoding: E1 93 B4 (3 bytes).

Hex color
#0014F4
RGB(0, 20, 244)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.20.244.

Address
0.0.20.244
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.20.244

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

Musical pitch

Heard as a frequency, 5,364 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): E8 (5274 Hz, +29¢)
  • Scientific pitch (C4 = 256 Hz): F8 (5467.5 Hz, -33¢)
  • Baroque pitch (A4 = 415 Hz): F8 (5270.2 Hz, +31¢)
Position in π

The digit sequence 5364 first appears in π at position 345 of the decimal expansion (the 345ordinal-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°.