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13,328

13,328 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 Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
17
Digit product
144
Digital root
8
Palindrome
No
Bit width
14 bits
Reversed
82,331
Recamán's sequence
a(47,619) = 13,328
Square (n²)
177,635,584
Cube (n³)
2,367,527,063,552
Divisor count
30
σ(n) — sum of divisors
31,806
φ(n) — Euler's totient
5,376
Sum of prime factors
39

Primality

Prime factorization: 2 4 × 7 2 × 17

Nearest primes: 13,327 (−1) · 13,331 (+3)

Divisors & multiples

All divisors (30)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 17 · 28 · 34 · 49 · 56 · 68 · 98 · 112 · 119 · 136 · 196 · 238 · 272 · 392 · 476 · 784 · 833 · 952 · 1666 · 1904 · 3332 · 6664 (half) · 13328
Aliquot sum (sum of proper divisors): 18,478
Factor pairs (a × b = 13,328)
1 × 13328
2 × 6664
4 × 3332
7 × 1904
8 × 1666
14 × 952
16 × 833
17 × 784
28 × 476
34 × 392
49 × 272
56 × 238
68 × 196
98 × 136
112 × 119
First multiples
13,328 · 26,656 (double) · 39,984 · 53,312 · 66,640 · 79,968 · 93,296 · 106,624 · 119,952 · 133,280

Sums & aliquot sequence

As a sum of two squares: 28² + 112²
As consecutive integers: 1,901 + 1,902 + … + 1,907 776 + 777 + … + 792 401 + 402 + … + 432 248 + 249 + … + 296
Aliquot sequence: 13,328 18,478 9,242 4,624 4,893 2,595 1,581 723 245 97 1 0 — terminates at zero

Representations

In words
thirteen thousand three hundred twenty-eight
Ordinal
13328th
Binary
11010000010000
Octal
32020
Hexadecimal
0x3410
Base64
NBA=
One's complement
52,207 (16-bit)
In other bases
ternary (3) 200021122
quaternary (4) 3100100
quinary (5) 411303
senary (6) 141412
septenary (7) 53600
nonary (9) 20248
undecimal (11) a017
duodecimal (12) 7868
tridecimal (13) 60b3
tetradecimal (14) 4c00
pentadecimal (15) 3e38

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγτκηʹ
Mayan (base 20)
𝋡·𝋭·𝋦·𝋨
Chinese
一萬三千三百二十八
Chinese (financial)
壹萬參仟參佰貳拾捌
In other modern scripts
Eastern Arabic ١٣٣٢٨ Devanagari १३३२८ Bengali ১৩৩২৮ Tamil ௧௩௩௨௮ Thai ๑๓๓๒๘ Tibetan ༡༣༣༢༨ Khmer ១៣៣២៨ Lao ໑໓໓໒໘ Burmese ၁၃၃၂၈

Digit at this position in famous constants

π — Pi (π)
Digit 13,328 = 8
e — Euler's number (e)
Digit 13,328 = 3
φ — Golden ratio (φ)
Digit 13,328 = 2
√2 — Pythagoras's (√2)
Digit 13,328 = 1
ln 2 — Natural log of 2
Digit 13,328 = 8
γ — Euler-Mascheroni (γ)
Digit 13,328 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13328, here are decompositions:

  • 19 + 13309 = 13328
  • 31 + 13297 = 13328
  • 37 + 13291 = 13328
  • 61 + 13267 = 13328
  • 79 + 13249 = 13328
  • 109 + 13219 = 13328
  • 151 + 13177 = 13328
  • 157 + 13171 = 13328

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-3410
U+3410
Other letter (Lo)

UTF-8 encoding: E3 90 90 (3 bytes).

Hex color
#003410
RGB(0, 52, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.16.

Address
0.0.52.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.52.16

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

Position in π

The digit sequence 13328 first appears in π at position 53,178 of the decimal expansion (the 53,178ordinal-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.