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13,284

13,284 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 Evil Number Happy Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
18
Digit product
192
Digital root
9
Palindrome
No
Bit width
14 bits
Reversed
48,231
Recamán's sequence
a(47,707) = 13,284
Square (n²)
176,464,656
Cube (n³)
2,344,156,490,304
Divisor count
30
σ(n) — sum of divisors
35,574
φ(n) — Euler's totient
4,320
Sum of prime factors
57

Primality

Prime factorization: 2 2 × 3 4 × 41

Nearest primes: 13,267 (−17) · 13,291 (+7)

Divisors & multiples

All divisors (30)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 27 · 36 · 41 · 54 · 81 · 82 · 108 · 123 · 162 · 164 · 246 · 324 · 369 · 492 · 738 · 1107 · 1476 · 2214 · 3321 · 4428 · 6642 (half) · 13284
Aliquot sum (sum of proper divisors): 22,290
Factor pairs (a × b = 13,284)
1 × 13284
2 × 6642
3 × 4428
4 × 3321
6 × 2214
9 × 1476
12 × 1107
18 × 738
27 × 492
36 × 369
41 × 324
54 × 246
81 × 164
82 × 162
108 × 123
First multiples
13,284 · 26,568 (double) · 39,852 · 53,136 · 66,420 · 79,704 · 92,988 · 106,272 · 119,556 · 132,840

Sums & aliquot sequence

As a sum of two squares: 72² + 90²
As consecutive integers: 4,427 + 4,428 + 4,429 1,657 + 1,658 + … + 1,664 1,472 + 1,473 + … + 1,480 542 + 543 + … + 565
Aliquot sequence: 13,284 22,290 31,278 36,258 36,270 68,562 91,962 129,798 151,470 318,978 465,102 715,338 998,262 1,235,658 1,296,438 1,751,754 1,767,606 — unresolved within range

Representations

In words
thirteen thousand two hundred eighty-four
Ordinal
13284th
Binary
11001111100100
Octal
31744
Hexadecimal
0x33E4
Base64
M+Q=
One's complement
52,251 (16-bit)
In other bases
ternary (3) 200020000
quaternary (4) 3033210
quinary (5) 411114
senary (6) 141300
septenary (7) 53505
nonary (9) 20200
undecimal (11) 9a87
duodecimal (12) 7830
tridecimal (13) 607b
tetradecimal (14) 4bac
pentadecimal (15) 3e09

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγσπδʹ
Mayan (base 20)
𝋡·𝋭·𝋤·𝋤
Chinese
一萬三千二百八十四
Chinese (financial)
壹萬參仟貳佰捌拾肆
In other modern scripts
Eastern Arabic ١٣٢٨٤ Devanagari १३२८४ Bengali ১৩২৮৪ Tamil ௧௩௨௮௪ Thai ๑๓๒๘๔ Tibetan ༡༣༢༨༤ Khmer ១៣២៨៤ Lao ໑໓໒໘໔ Burmese ၁၃၂၈၄

Digit at this position in famous constants

π — Pi (π)
Digit 13,284 = 2
e — Euler's number (e)
Digit 13,284 = 5
φ — Golden ratio (φ)
Digit 13,284 = 8
√2 — Pythagoras's (√2)
Digit 13,284 = 2
ln 2 — Natural log of 2
Digit 13,284 = 0
γ — Euler-Mascheroni (γ)
Digit 13,284 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13284, here are decompositions:

  • 17 + 13267 = 13284
  • 43 + 13241 = 13284
  • 67 + 13217 = 13284
  • 97 + 13187 = 13284
  • 101 + 13183 = 13284
  • 107 + 13177 = 13284
  • 113 + 13171 = 13284
  • 137 + 13147 = 13284

Showing the first eight; more decompositions exist.

Unicode codepoint
Ideographic Telegraph Symbol For Day Five
U+33E4
Other symbol (So)

UTF-8 encoding: E3 8F A4 (3 bytes).

Hex color
#0033E4
RGB(0, 51, 228)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.228.

Address
0.0.51.228
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.51.228

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

Position in π

The digit sequence 13284 first appears in π at position 37,648 of the decimal expansion (the 37,648ordinal-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.