Live analysis

5,304

5,304 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.).

5,304 (five thousand three hundred four) is an even 4-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 13 × 17. Its proper divisors sum to 9,816, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x14B8.

Abundant Number Evil Number Harshad / Niven Practical Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

5,292 5,293 5,294 5,295 5,296 5,297 5,298 5,299 5,300 5,301 5,302 5,303 5,304 5,305 5,306 5,307 5,308 5,309 5,310 5,311 5,312 5,313 5,314 5,315 5,316

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 13 bits
Reversed: 4,035
Recamán's sequence: a(2,368) = 5,304
Square (n²): 28,132,416
Cube (n³): 149,214,334,464
Divisor count: 32
σ(n) — sum of divisors: 15,120
φ(n) — Euler's totient: 1,536
Sum of prime factors: 39

Primality

Prime factorization: 2 ³ × 3 × 13 × 17

Nearest primes: 5,303 (−1) · 5,309 (+5)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 13 · 17 · 24 · 26 · 34 · 39 · 51 · 52 · 68 · 78 · 102 · 104 · 136 · 156 · 204 · 221 · 312 · 408 · 442 · 663 · 884 · 1326 · 1768 · 2652 (half) · 5304

Aliquot sum (sum of proper divisors): 9,816

Factor pairs (a × b = 5,304)

1 × 5304

2 × 2652

3 × 1768

4 × 1326

6 × 884

8 × 663

12 × 442

13 × 408

17 × 312

24 × 221

26 × 204

34 × 156

39 × 136

51 × 104

52 × 102

68 × 78

First multiples

5,304 · 10,608 (double) · 15,912 · 21,216 · 26,520 · 31,824 · 37,128 · 42,432 · 47,736 · 53,040

Sums & aliquot sequence

As consecutive integers: 1,767 + 1,768 + 1,769 402 + 403 + … + 414 324 + 325 + … + 339 304 + 305 + … + 320

Aliquot sequence: 5,304 → 9,816 → 14,784 → 33,984 → 65,076 → 116,364 → 155,180 → 170,740 → 187,856 → 184,144 → 194,180 → 303,100 → 450,324 → 851,340 → 1,874,292 → 3,230,220 → 7,107,828 — unresolved within range

Continued fraction of √n

√5,304 = [72; (1, 4, 1, 4, 1, 144)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: five thousand three hundred four
Ordinal: 5304th
Binary: 1010010111000
Octal: 12270
Hexadecimal: 0x14B8
Base64: FLg=
One's complement: 60,231 (16-bit)
Scientific notation: 5.304 × 10³
As a duration: 5,304 s = 1 hour, 28 minutes, 24 seconds

In other bases

ternary (3) 21021110

quaternary (4) 1102320

quinary (5) 132204

senary (6) 40320

septenary (7) 21315

nonary (9) 7243

undecimal (11) 3a92

duodecimal (12) 30a0

tridecimal (13) 2550

tetradecimal (14) 1d0c

pentadecimal (15) 1889

As an angle

5,304° = 14 × 360° + 264°

264° ≈ 4.608 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ετδʹ
Mayan (base 20): 𝋭·𝋥·𝋤
Chinese: 五千三百零四
Chinese (financial): 伍仟參佰零肆

In other modern scripts

Eastern Arabic ٥٣٠٤ Devanagari ५३०४ Bengali ৫৩০৪ Tamil ௫௩௦௪ Thai ๕๓๐๔ Tibetan ༥༣༠༤ Khmer ៥៣០៤ Lao ໕໓໐໔ Burmese ၅၃၀၄

Digit at this position in famous constants

π — Pi (π): Digit 5,304 = 6
e — Euler's number (e): Digit 5,304 = 1
φ — Golden ratio (φ): Digit 5,304 = 0
√2 — Pythagoras's (√2): Digit 5,304 = 7
ln 2 — Natural log of 2: Digit 5,304 = 3
γ — Euler-Mascheroni (γ): Digit 5,304 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 5304, here are decompositions:

7 + 5297 = 5304
23 + 5281 = 5304
31 + 5273 = 5304
43 + 5261 = 5304
67 + 5237 = 5304
71 + 5233 = 5304
73 + 5231 = 5304
107 + 5197 = 5304

Showing the first eight; more decompositions exist.

Unicode codepoint

ᒸ

Canadian Syllabics Mwaa

U+14B8

Other letter (Lo)

UTF-8 encoding: E1 92 B8 (3 bytes).

Lookup U+14B8 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0014B8

RGB(0, 20, 184)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.20.184.

Address: 0.0.20.184
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.20.184

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

Calculator-display word

Type 5,304 on a seven-segment calculator, flip it 180°, and the display reads:

hOES

A staple of calculator humor since pocket calculators put digits in front of bored students.

Musical pitch

Heard as a frequency, 5,304 Hz is closest to:

Concert pitch (A4 = 440 Hz): E8 (5274 Hz, +10¢)
Scientific pitch (C4 = 256 Hz): E8 (5160.6 Hz, +47¢ — about midway to F8)
Baroque pitch (A4 = 415 Hz): F8 (5270.2 Hz, +11¢)

Position in π

The digit sequence 5304 first appears in π at position 16,683 of the decimal expansion (the 16,683ordinal-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.

Look up 5304 on Pi Search ↗