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13,684

13,684 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.).
Arithmetic Number Deficient Number Evil Number Harshad / Niven Recamán's Sequence

Properties

Parity
Even
Digit count
5
Digit sum
22
Digit product
576
Digital root
4
Palindrome
No
Bit width
14 bits
Reversed
48,631
Recamán's sequence
a(91,276) = 13,684
Square (n²)
187,251,856
Cube (n³)
2,562,354,397,504
Divisor count
12
σ(n) — sum of divisors
26,208
φ(n) — Euler's totient
6,200
Sum of prime factors
326

Primality

Prime factorization: 2 2 × 11 × 311

Nearest primes: 13,681 (−3) · 13,687 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 11 · 22 · 44 · 311 · 622 · 1244 · 3421 · 6842 (half) · 13684
Aliquot sum (sum of proper divisors): 12,524
Factor pairs (a × b = 13,684)
1 × 13684
2 × 6842
4 × 3421
11 × 1244
22 × 622
44 × 311
First multiples
13,684 · 27,368 (double) · 41,052 · 54,736 · 68,420 · 82,104 · 95,788 · 109,472 · 123,156 · 136,840

Sums & aliquot sequence

As consecutive integers: 1,707 + 1,708 + … + 1,714 1,239 + 1,240 + … + 1,249 112 + 113 + … + 199
Aliquot sequence: 13,684 12,524 10,324 8,576 8,764 8,820 22,302 35,298 44,730 90,054 105,102 122,658 122,670 214,290 343,098 523,872 1,068,264 — unresolved within range

Representations

In words
thirteen thousand six hundred eighty-four
Ordinal
13684th
Binary
11010101110100
Octal
32564
Hexadecimal
0x3574
Base64
NXQ=
One's complement
51,851 (16-bit)
In other bases
ternary (3) 200202211
quaternary (4) 3111310
quinary (5) 414214
senary (6) 143204
septenary (7) 54616
nonary (9) 20684
undecimal (11) a310
duodecimal (12) 7b04
tridecimal (13) 62c8
tetradecimal (14) 4db6
pentadecimal (15) 40c4

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγχπδʹ
Mayan (base 20)
𝋡·𝋮·𝋤·𝋤
Chinese
一萬三千六百八十四
Chinese (financial)
壹萬參仟陸佰捌拾肆
In other modern scripts
Eastern Arabic ١٣٦٨٤ Devanagari १३६८४ Bengali ১৩৬৮৪ Tamil ௧௩௬௮௪ Thai ๑๓๖๘๔ Tibetan ༡༣༦༨༤ Khmer ១៣៦៨៤ Lao ໑໓໖໘໔ Burmese ၁၃၆၈၄

Digit at this position in famous constants

π — Pi (π)
Digit 13,684 = 6
e — Euler's number (e)
Digit 13,684 = 4
φ — Golden ratio (φ)
Digit 13,684 = 5
√2 — Pythagoras's (√2)
Digit 13,684 = 6
ln 2 — Natural log of 2
Digit 13,684 = 2
γ — Euler-Mascheroni (γ)
Digit 13,684 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13684, here are decompositions:

  • 3 + 13681 = 13684
  • 5 + 13679 = 13684
  • 71 + 13613 = 13684
  • 107 + 13577 = 13684
  • 131 + 13553 = 13684
  • 197 + 13487 = 13684
  • 227 + 13457 = 13684
  • 233 + 13451 = 13684

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-3574
U+3574
Other letter (Lo)

UTF-8 encoding: E3 95 B4 (3 bytes).

Hex color
#003574
RGB(0, 53, 116)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.116.

Address
0.0.53.116
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.53.116

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

Position in π

The digit sequence 13684 first appears in π at position 76,581 of the decimal expansion (the 76,581ordinal-suffix:st 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.