Live analysis

13,782

13,782 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.).

13,782 (thirteen thousand seven hundred eighty-two) is an even 5-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 2,297. Its proper divisors sum to 13,794, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x35D6.

Abundant Number Arithmetic Number Cube-Free Odious Number Recamán's Sequence Semiperfect Number Sphenic Number Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

13,770 13,771 13,772 13,773 13,774 13,775 13,776 13,777 13,778 13,779 13,780 13,781 13,782 13,783 13,784 13,785 13,786 13,787 13,788 13,789 13,790 13,791 13,792 13,793 13,794

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 21
Digit product: 336
Digital root: 3
Palindrome: No
Bit width: 14 bits
Reversed: 28,731
Recamán's sequence: a(21,152) = 13,782
Square (n²): 189,943,524
Cube (n³): 2,617,801,647,768
Divisor count: 8
σ(n) — sum of divisors: 27,576
φ(n) — Euler's totient: 4,592
Sum of prime factors: 2,302

Primality

Prime factorization: 2 × 3 × 2297

Nearest primes: 13,781 (−1) · 13,789 (+7)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 2297 · 4594 · 6891 (half) · 13782

Aliquot sum (sum of proper divisors): 13,794

Factor pairs (a × b = 13,782)

1 × 13782

2 × 6891

3 × 4594

6 × 2297

First multiples

13,782 · 27,564 (double) · 41,346 · 55,128 · 68,910 · 82,692 · 96,474 · 110,256 · 124,038 · 137,820

Sums & aliquot sequence

As consecutive integers: 4,593 + 4,594 + 4,595 3,444 + 3,445 + 3,446 + 3,447 1,143 + 1,144 + … + 1,154

Aliquot sequence: 13,782 → 13,794 → 18,126 → 23,994 → 30,918 → 30,930 → 43,374 → 43,386 → 55,878 → 58,362 → 60,870 → 85,290 → 119,478 → 119,490 → 208,830 → 292,434 → 350,382 — unresolved within range

Continued fraction of √n

√13,782 = [117; (2, 1, 1, 11, 1, 3, 7, 1, 5, 3, 2, 1, 116, 1, 2, 3, 5, 1, 7, 3, 1, 11, 1, 1, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words: thirteen thousand seven hundred eighty-two
Ordinal: 13782nd
Binary: 11010111010110
Octal: 32726
Hexadecimal: 0x35D6
Base64: NdY=
One's complement: 51,753 (16-bit)
Scientific notation: 1.3782 × 10⁴
As a duration: 13,782 s = 3 hours, 49 minutes, 42 seconds

In other bases

ternary (3) 200220110

quaternary (4) 3113112

quinary (5) 420112

senary (6) 143450

septenary (7) 55116

nonary (9) 20813

undecimal (11) a39a

duodecimal (12) 7b86

tridecimal (13) 6372

tetradecimal (14) 5046

pentadecimal (15) 413c

As an angle

13,782° = 38 × 360° + 102°

102° ≈ 1.78 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ιγψπβʹ
Mayan (base 20): 𝋡·𝋮·𝋩·𝋢
Chinese: 一萬三千七百八十二
Chinese (financial): 壹萬參仟柒佰捌拾貳

In other modern scripts

Eastern Arabic ١٣٧٨٢ Devanagari १३७८२ Bengali ১৩৭৮২ Tamil ௧௩௭௮௨ Thai ๑๓๗๘๒ Tibetan ༡༣༧༨༢ Khmer ១៣៧៨២ Lao ໑໓໗໘໒ Burmese ၁၃၇၈၂

Digit at this position in famous constants

π — Pi (π): Digit 13,782 = 9
e — Euler's number (e): Digit 13,782 = 9
φ — Golden ratio (φ): Digit 13,782 = 6
√2 — Pythagoras's (√2): Digit 13,782 = 4
ln 2 — Natural log of 2: Digit 13,782 = 6
γ — Euler-Mascheroni (γ): Digit 13,782 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13782, here are decompositions:

19 + 13763 = 13782
23 + 13759 = 13782
31 + 13751 = 13782
53 + 13729 = 13782
59 + 13723 = 13782
61 + 13721 = 13782
71 + 13711 = 13782
73 + 13709 = 13782

Showing the first eight; more decompositions exist.

Unicode codepoint

㗖

CJK Unified Ideograph-35D6

U+35D6

Other letter (Lo)

UTF-8 encoding: E3 97 96 (3 bytes).

Lookup U+35D6 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0035D6

RGB(0, 53, 214)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.214.

Address: 0.0.53.214
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.53.214

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

Musical pitch

Heard as a frequency, 13,782 Hz is closest to:

Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -37¢)
Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, +1¢)
Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -36¢)

Position in π

The digit sequence 13782 first appears in π at position 33,014 of the decimal expansion (the 33,014ordinal-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 13782 on Pi Search ↗