Live analysis

13,836

13,836 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.).

13,836 (thirteen thousand eight hundred thirty-six) is an even 5-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 1,153. Its proper divisors sum to 18,476, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x360C.

Abundant Number Cube-Free Evil Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

13,824 13,825 13,826 13,827 13,828 13,829 13,830 13,831 13,832 13,833 13,834 13,835 13,836 13,837 13,838 13,839 13,840 13,841 13,842 13,843 13,844 13,845 13,846 13,847 13,848

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 21
Digit product: 432
Digital root: 3
Palindrome: No
Bit width: 14 bits
Reversed: 63,831
Recamán's sequence: a(21,044) = 13,836
Square (n²): 191,434,896
Cube (n³): 2,648,693,221,056
Divisor count: 12
σ(n) — sum of divisors: 32,312
φ(n) — Euler's totient: 4,608
Sum of prime factors: 1,160

Primality

Prime factorization: 2 ² × 3 × 1153

Nearest primes: 13,831 (−5) · 13,841 (+5)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 1153 · 2306 · 3459 · 4612 · 6918 (half) · 13836

Aliquot sum (sum of proper divisors): 18,476

Factor pairs (a × b = 13,836)

1 × 13836

2 × 6918

3 × 4612

4 × 3459

6 × 2306

12 × 1153

First multiples

13,836 · 27,672 (double) · 41,508 · 55,344 · 69,180 · 83,016 · 96,852 · 110,688 · 124,524 · 138,360

Sums & aliquot sequence

As consecutive integers: 4,611 + 4,612 + 4,613 1,726 + 1,727 + … + 1,733 565 + 566 + … + 588

Aliquot sequence: 13,836 → 18,476 → 15,124 → 12,876 → 19,044 → 31,279 → 1,041 → 351 → 209 → 31 → 1 → 0 — terminates at zero

Continued fraction of √n

√13,836 = [117; (1, 1, 1, 2, 9, 1, 5, 1, 4, 2, 28, 1, 20, 2, 2, 1, 1, 1, 5, 2, 2, 58, 2, 2, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words: thirteen thousand eight hundred thirty-six
Ordinal: 13836th
Binary: 11011000001100
Octal: 33014
Hexadecimal: 0x360C
Base64: Ngw=
One's complement: 51,699 (16-bit)
Scientific notation: 1.3836 × 10⁴
As a duration: 13,836 s = 3 hours, 50 minutes, 36 seconds

In other bases

ternary (3) 200222110

quaternary (4) 3120030

quinary (5) 420321

senary (6) 144020

septenary (7) 55224

nonary (9) 20873

undecimal (11) a439

duodecimal (12) 8010

tridecimal (13) 63b4

tetradecimal (14) 5084

pentadecimal (15) 4176

As an angle

13,836° = 38 × 360° + 156°

156° ≈ 2.723 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιγωλϛʹ
Mayan (base 20): 𝋡·𝋮·𝋫·𝋰
Chinese: 一萬三千八百三十六
Chinese (financial): 壹萬參仟捌佰參拾陸

In other modern scripts

Eastern Arabic ١٣٨٣٦ Devanagari १३८३६ Bengali ১৩৮৩৬ Tamil ௧௩௮௩௬ Thai ๑๓๘๓๖ Tibetan ༡༣༨༣༦ Khmer ១៣៨៣៦ Lao ໑໓໘໓໖ Burmese ၁၃၈၃၆

Digit at this position in famous constants

π — Pi (π): Digit 13,836 = 4
e — Euler's number (e): Digit 13,836 = 9
φ — Golden ratio (φ): Digit 13,836 = 8
√2 — Pythagoras's (√2): Digit 13,836 = 6
ln 2 — Natural log of 2: Digit 13,836 = 1
γ — Euler-Mascheroni (γ): Digit 13,836 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13836, here are decompositions:

5 + 13831 = 13836
7 + 13829 = 13836
29 + 13807 = 13836
37 + 13799 = 13836
47 + 13789 = 13836
73 + 13763 = 13836
79 + 13757 = 13836
107 + 13729 = 13836

Showing the first eight; more decompositions exist.

Unicode codepoint

㘌

CJK Unified Ideograph-360C

U+360C

Other letter (Lo)

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

Lookup U+360C on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00360C

RGB(0, 54, 12)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.12.

Address: 0.0.54.12
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.54.12

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

Musical pitch

Heard as a frequency, 13,836 Hz is closest to:

Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -30¢)
Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, +7¢)
Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -29¢)

Position in π

The digit sequence 13836 first appears in π at position 15,905 of the decimal expansion (the 15,905ordinal-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 13836 on Pi Search ↗