Live analysis

13,884

13,884 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.).

13,884 (thirteen thousand eight hundred eighty-four) is an even 5-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 13 × 89. Its proper divisors sum to 21,396, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x363C.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

13,872 13,873 13,874 13,875 13,876 13,877 13,878 13,879 13,880 13,881 13,882 13,883 13,884 13,885 13,886 13,887 13,888 13,889 13,890 13,891 13,892 13,893 13,894 13,895 13,896

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 24
Digit product: 768
Digital root: 6
Palindrome: No
Bit width: 14 bits
Reversed: 48,831
Recamán's sequence: a(20,948) = 13,884
Square (n²): 192,765,456
Cube (n³): 2,676,355,591,104
Divisor count: 24
σ(n) — sum of divisors: 35,280
φ(n) — Euler's totient: 4,224
Sum of prime factors: 109

Primality

Prime factorization: 2 ² × 3 × 13 × 89

Nearest primes: 13,883 (−1) · 13,901 (+17)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 12 · 13 · 26 · 39 · 52 · 78 · 89 · 156 · 178 · 267 · 356 · 534 · 1068 · 1157 · 2314 · 3471 · 4628 · 6942 (half) · 13884

Aliquot sum (sum of proper divisors): 21,396

Factor pairs (a × b = 13,884)

1 × 13884

2 × 6942

3 × 4628

4 × 3471

6 × 2314

12 × 1157

13 × 1068

26 × 534

39 × 356

52 × 267

78 × 178

89 × 156

First multiples

13,884 · 27,768 (double) · 41,652 · 55,536 · 69,420 · 83,304 · 97,188 · 111,072 · 124,956 · 138,840

Sums & aliquot sequence

As consecutive integers: 4,627 + 4,628 + 4,629 1,732 + 1,733 + … + 1,739 1,062 + 1,063 + … + 1,074 567 + 568 + … + 590

Aliquot sequence: 13,884 → 21,396 → 28,556 → 27,304 → 23,906 → 11,956 → 12,782 → 11,410 → 12,206 → 7,234 → 3,620 → 4,024 → 3,536 → 4,276 → 3,214 → 1,610 → 1,846 — unresolved within range

Continued fraction of √n

√13,884 = [117; (1, 4, 1, 8, 1, 1, 2, 5, 2, 58, 2, 5, 2, 1, 1, 8, 1, 4, 1, 234)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words: thirteen thousand eight hundred eighty-four
Ordinal: 13884th
Binary: 11011000111100
Octal: 33074
Hexadecimal: 0x363C
Base64: Njw=
One's complement: 51,651 (16-bit)
Scientific notation: 1.3884 × 10⁴
As a duration: 13,884 s = 3 hours, 51 minutes, 24 seconds

In other bases

ternary (3) 201001020

quaternary (4) 3120330

quinary (5) 421014

senary (6) 144140

septenary (7) 55323

nonary (9) 21036

undecimal (11) a482

duodecimal (12) 8050

tridecimal (13) 6420

tetradecimal (14) 50ba

pentadecimal (15) 41a9

As an angle

13,884° = 38 × 360° + 204°

204° ≈ 3.56 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιγωπδʹ
Mayan (base 20): 𝋡·𝋮·𝋮·𝋤
Chinese: 一萬三千八百八十四
Chinese (financial): 壹萬參仟捌佰捌拾肆

In other modern scripts

Eastern Arabic ١٣٨٨٤ Devanagari १३८८४ Bengali ১৩৮৮৪ Tamil ௧௩௮௮௪ Thai ๑๓๘๘๔ Tibetan ༡༣༨༨༤ Khmer ១៣៨៨៤ Lao ໑໓໘໘໔ Burmese ၁၃၈၈၄

Digit at this position in famous constants

π — Pi (π): Digit 13,884 = 9
e — Euler's number (e): Digit 13,884 = 0
φ — Golden ratio (φ): Digit 13,884 = 4
√2 — Pythagoras's (√2): Digit 13,884 = 1
ln 2 — Natural log of 2: Digit 13,884 = 4
γ — Euler-Mascheroni (γ): Digit 13,884 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13884, here are decompositions:

5 + 13879 = 13884
7 + 13877 = 13884
11 + 13873 = 13884
43 + 13841 = 13884
53 + 13831 = 13884
103 + 13781 = 13884
127 + 13757 = 13884
163 + 13721 = 13884

Showing the first eight; more decompositions exist.

Unicode codepoint

㘼

CJK Unified Ideograph-363C

U+363C

Other letter (Lo)

UTF-8 encoding: E3 98 BC (3 bytes).

Lookup U+363C on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00363C

RGB(0, 54, 60)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.60.

Address: 0.0.54.60
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.54.60

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

Musical pitch

Heard as a frequency, 13,884 Hz is closest to:

Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -24¢)
Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, +13¢)
Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -23¢)

Position in π

The digit sequence 13884 first appears in π at position 73,618 of the decimal expansion (the 73,618ordinal-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.

Look up 13884 on Pi Search ↗