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16,388

16,388 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.).

16,388 (sixteen thousand three hundred eighty-eight) is an even 5-digit number. It is a composite number with 12 divisors, and factors as 2² × 17 × 241. Written other ways, in hexadecimal, 0x4004.

Arithmetic Number Cube-Free Deficient Number Evil Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
26
Digit product
1,152
Digital root
8
Palindrome
No
Bit width
15 bits
Reversed
88,361
Recamán's sequence
a(17,936) = 16,388
Square (n²)
268,566,544
Cube (n³)
4,401,268,523,072
Divisor count
12
σ(n) — sum of divisors
30,492
φ(n) — Euler's totient
7,680
Sum of prime factors
262

Primality

Prime factorization: 2 2 × 17 × 241

Nearest primes: 16,381 (−7) · 16,411 (+23)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 17 · 34 · 68 · 241 · 482 · 964 · 4097 · 8194 (half) · 16388
Aliquot sum (sum of proper divisors): 14,104
Factor pairs (a × b = 16,388)
1 × 16388
2 × 8194
4 × 4097
17 × 964
34 × 482
68 × 241
First multiples
16,388 · 32,776 (double) · 49,164 · 65,552 · 81,940 · 98,328 · 114,716 · 131,104 · 147,492 · 163,880

Sums & aliquot sequence

As a sum of two squares: 2² + 128² = 62² + 112²
As consecutive integers: 2,045 + 2,046 + … + 2,052 956 + 957 + … + 972 53 + 54 + … + 188
Aliquot sequence: 16,388 14,104 13,616 14,656 14,554 8,486 4,246 2,738 1,483 1 0 — terminates at zero

Continued fraction of √n

√16,388 = [128; (64, 256)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
sixteen thousand three hundred eighty-eight
Ordinal
16388th
Binary
100000000000100
Octal
40004
Hexadecimal
0x4004
Base64
QAQ=
One's complement
49,147 (16-bit)
Scientific notation
1.6388 × 10⁴
As a duration
16,388 s = 4 hours, 33 minutes, 8 seconds
In other bases
ternary (3) 211110222
quaternary (4) 10000010
quinary (5) 1011023
senary (6) 203512
septenary (7) 65531
nonary (9) 24428
undecimal (11) 11349
duodecimal (12) 9598
tridecimal (13) 75c8
tetradecimal (14) 5d88
pentadecimal (15) 4cc8
Palindromic in base 8, base 16

As an angle

16,388° = 45 × 360° + 188°
188° ≈ 3.281 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιϛτπηʹ
Mayan (base 20)
𝋢·𝋠·𝋳·𝋨
Chinese
一萬六千三百八十八
Chinese (financial)
壹萬陸仟參佰捌拾捌
In other modern scripts
Eastern Arabic ١٦٣٨٨ Devanagari १६३८८ Bengali ১৬৩৮৮ Tamil ௧௬௩௮௮ Thai ๑๖๓๘๘ Tibetan ༡༦༣༨༨ Khmer ១៦៣៨៨ Lao ໑໖໓໘໘ Burmese ၁၆၃၈၈

Digit at this position in famous constants

π — Pi (π)
Digit 16,388 = 9
e — Euler's number (e)
Digit 16,388 = 2
φ — Golden ratio (φ)
Digit 16,388 = 4
√2 — Pythagoras's (√2)
Digit 16,388 = 3
ln 2 — Natural log of 2
Digit 16,388 = 7
γ — Euler-Mascheroni (γ)
Digit 16,388 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 16388, here are decompositions:

  • 7 + 16381 = 16388
  • 19 + 16369 = 16388
  • 139 + 16249 = 16388
  • 157 + 16231 = 16388
  • 199 + 16189 = 16388
  • 277 + 16111 = 16388
  • 331 + 16057 = 16388
  • 397 + 15991 = 16388

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-4004
U+4004
Other letter (Lo)

UTF-8 encoding: E4 80 84 (3 bytes).

Hex color
#004004
RGB(0, 64, 4)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.64.4.

Address
0.0.64.4
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.64.4

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

Musical pitch

Heard as a frequency, 16,388 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C10 (16744 Hz, -37¢)
  • Scientific pitch (C4 = 256 Hz): C10 (16384 Hz, exact)
  • Baroque pitch (A4 = 415 Hz): C♯10 (16731.8 Hz, -36¢)
Position in π

The digit sequence 16388 first appears in π at position 108,184 of the decimal expansion (the 108,184ordinal-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.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.