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13,384

13,384 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.).
Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
19
Digit product
288
Digital root
1
Palindrome
No
Bit width
14 bits
Reversed
48,331
Recamán's sequence
a(47,507) = 13,384
Square (n²)
179,131,456
Cube (n³)
2,397,495,407,104
Divisor count
16
σ(n) — sum of divisors
28,800
φ(n) — Euler's totient
5,712
Sum of prime factors
252

Primality

Prime factorization: 2 3 × 7 × 239

Nearest primes: 13,381 (−3) · 13,397 (+13)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 7 · 8 · 14 · 28 · 56 · 239 · 478 · 956 · 1673 · 1912 · 3346 · 6692 (half) · 13384
Aliquot sum (sum of proper divisors): 15,416
Factor pairs (a × b = 13,384)
1 × 13384
2 × 6692
4 × 3346
7 × 1912
8 × 1673
14 × 956
28 × 478
56 × 239
First multiples
13,384 · 26,768 (double) · 40,152 · 53,536 · 66,920 · 80,304 · 93,688 · 107,072 · 120,456 · 133,840

Sums & aliquot sequence

As consecutive integers: 1,909 + 1,910 + … + 1,915 829 + 830 + … + 844 64 + 65 + … + 175
Aliquot sequence: 13,384 15,416 14,824 14,876 11,164 8,380 9,260 10,228 7,678 4,922 2,854 1,430 1,594 800 1,153 1 0 — terminates at zero

Representations

In words
thirteen thousand three hundred eighty-four
Ordinal
13384th
Binary
11010001001000
Octal
32110
Hexadecimal
0x3448
Base64
NEg=
One's complement
52,151 (16-bit)
In other bases
ternary (3) 200100201
quaternary (4) 3101020
quinary (5) 412014
senary (6) 141544
septenary (7) 54010
nonary (9) 20321
undecimal (11) a068
duodecimal (12) 78b4
tridecimal (13) 6127
tetradecimal (14) 4c40
pentadecimal (15) 3e74

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγτπδʹ
Mayan (base 20)
𝋡·𝋭·𝋩·𝋤
Chinese
一萬三千三百八十四
Chinese (financial)
壹萬參仟參佰捌拾肆
In other modern scripts
Eastern Arabic ١٣٣٨٤ Devanagari १३३८४ Bengali ১৩৩৮৪ Tamil ௧௩௩௮௪ Thai ๑๓๓๘๔ Tibetan ༡༣༣༨༤ Khmer ១៣៣៨៤ Lao ໑໓໓໘໔ Burmese ၁၃၃၈၄

Digit at this position in famous constants

π — Pi (π)
Digit 13,384 = 5
e — Euler's number (e)
Digit 13,384 = 2
φ — Golden ratio (φ)
Digit 13,384 = 5
√2 — Pythagoras's (√2)
Digit 13,384 = 3
ln 2 — Natural log of 2
Digit 13,384 = 2
γ — Euler-Mascheroni (γ)
Digit 13,384 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13384, here are decompositions:

  • 3 + 13381 = 13384
  • 17 + 13367 = 13384
  • 47 + 13337 = 13384
  • 53 + 13331 = 13384
  • 71 + 13313 = 13384
  • 167 + 13217 = 13384
  • 197 + 13187 = 13384
  • 233 + 13151 = 13384

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-3448
U+3448
Other letter (Lo)

UTF-8 encoding: E3 91 88 (3 bytes).

Hex color
#003448
RGB(0, 52, 72)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.72.

Address
0.0.52.72
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.52.72

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

Position in π

The digit sequence 13384 first appears in π at position 17,301 of the decimal expansion (the 17,301ordinal-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.