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16,768

16,768 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 Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
28
Digit product
2,016
Digital root
1
Palindrome
No
Bit width
15 bits
Reversed
86,761
Recamán's sequence
a(17,700) = 16,768
Square (n²)
281,165,824
Cube (n³)
4,714,588,536,832
Divisor count
16
σ(n) — sum of divisors
33,660
φ(n) — Euler's totient
8,320
Sum of prime factors
145

Primality

Prime factorization: 2 7 × 131

Nearest primes: 16,763 (−5) · 16,787 (+19)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 16 · 32 · 64 · 128 · 131 · 262 · 524 · 1048 · 2096 · 4192 · 8384 (half) · 16768
Aliquot sum (sum of proper divisors): 16,892
Factor pairs (a × b = 16,768)
1 × 16768
2 × 8384
4 × 4192
8 × 2096
16 × 1048
32 × 524
64 × 262
128 × 131
First multiples
16,768 · 33,536 (double) · 50,304 · 67,072 · 83,840 · 100,608 · 117,376 · 134,144 · 150,912 · 167,680

Sums & aliquot sequence

As consecutive integers: 63 + 64 + … + 193
Aliquot sequence: 16,768 16,892 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 — unresolved within range

Representations

In words
sixteen thousand seven hundred sixty-eight
Ordinal
16768th
Binary
100000110000000
Octal
40600
Hexadecimal
0x4180
Base64
QYA=
One's complement
48,767 (16-bit)
In other bases
ternary (3) 212000001
quaternary (4) 10012000
quinary (5) 1014033
senary (6) 205344
septenary (7) 66613
nonary (9) 25001
undecimal (11) 11664
duodecimal (12) 9854
tridecimal (13) 782b
tetradecimal (14) 617a
pentadecimal (15) 4e7d

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιϛψξηʹ
Mayan (base 20)
𝋢·𝋡·𝋲·𝋨
Chinese
一萬六千七百六十八
Chinese (financial)
壹萬陸仟柒佰陸拾捌
In other modern scripts
Eastern Arabic ١٦٧٦٨ Devanagari १६७६८ Bengali ১৬৭৬৮ Tamil ௧௬௭௬௮ Thai ๑๖๗๖๘ Tibetan ༡༦༧༦༨ Khmer ១៦៧៦៨ Lao ໑໖໗໖໘ Burmese ၁၆၇၆၈

Digit at this position in famous constants

π — Pi (π)
Digit 16,768 = 2
e — Euler's number (e)
Digit 16,768 = 0
φ — Golden ratio (φ)
Digit 16,768 = 9
√2 — Pythagoras's (√2)
Digit 16,768 = 4
ln 2 — Natural log of 2
Digit 16,768 = 0
γ — Euler-Mascheroni (γ)
Digit 16,768 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 16768, here are decompositions:

  • 5 + 16763 = 16768
  • 107 + 16661 = 16768
  • 137 + 16631 = 16768
  • 149 + 16619 = 16768
  • 239 + 16529 = 16768
  • 281 + 16487 = 16768
  • 317 + 16451 = 16768
  • 347 + 16421 = 16768

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-4180
U+4180
Other letter (Lo)

UTF-8 encoding: E4 86 80 (3 bytes).

Hex color
#004180
RGB(0, 65, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.65.128.

Address
0.0.65.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.65.128

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

Position in π

The digit sequence 16768 first appears in π at position 12,890 of the decimal expansion (the 12,890ordinal-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.