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16,744

16,744 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.).

16,744 (sixteen thousand seven hundred forty-four) is an even 5-digit number. It is a composite number with 32 divisors, and factors as 2³ × 7 × 13 × 23. Its proper divisors sum to 23,576, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x4168.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Smith Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
22
Digit product
672
Digital root
4
Palindrome
No
Bit width
15 bits
Reversed
44,761
Recamán's sequence
a(6,560) = 16,744
Square (n²)
280,361,536
Cube (n³)
4,694,373,558,784
Divisor count
32
σ(n) — sum of divisors
40,320
φ(n) — Euler's totient
6,336
Sum of prime factors
49

Primality

Prime factorization: 2 3 × 7 × 13 × 23

Nearest primes: 16,741 (−3) · 16,747 (+3)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 7 · 8 · 13 · 14 · 23 · 26 · 28 · 46 · 52 · 56 · 91 · 92 · 104 · 161 · 182 · 184 · 299 · 322 · 364 · 598 · 644 · 728 · 1196 · 1288 · 2093 · 2392 · 4186 · 8372 (half) · 16744
Aliquot sum (sum of proper divisors): 23,576
Factor pairs (a × b = 16,744)
1 × 16744
2 × 8372
4 × 4186
7 × 2392
8 × 2093
13 × 1288
14 × 1196
23 × 728
26 × 644
28 × 598
46 × 364
52 × 322
56 × 299
91 × 184
92 × 182
104 × 161
First multiples
16,744 · 33,488 (double) · 50,232 · 66,976 · 83,720 · 100,464 · 117,208 · 133,952 · 150,696 · 167,440

Sums & aliquot sequence

As consecutive integers: 2,389 + 2,390 + … + 2,395 1,282 + 1,283 + … + 1,294 1,039 + 1,040 + … + 1,054 717 + 718 + … + 739
Aliquot sequence: 16,744 23,576 27,064 26,936 36,904 42,296 41,944 50,396 40,156 30,124 25,820 28,444 25,260 45,636 60,876 102,924 164,196 — unresolved within range

Continued fraction of √n

√16,744 = [129; (2, 1, 1, 28, 6, 2, 3, 2, 1, 9, 1, 1, 1, 9, 1, 2, 3, 2, 6, 28, 1, 1, 2, 258)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
sixteen thousand seven hundred forty-four
Ordinal
16744th
Binary
100000101101000
Octal
40550
Hexadecimal
0x4168
Base64
QWg=
One's complement
48,791 (16-bit)
Scientific notation
1.6744 × 10⁴
As a duration
16,744 s = 4 hours, 39 minutes, 4 seconds
In other bases
ternary (3) 211222011
quaternary (4) 10011220
quinary (5) 1013434
senary (6) 205304
septenary (7) 66550
nonary (9) 24864
undecimal (11) 11642
duodecimal (12) 9834
tridecimal (13) 7810
tetradecimal (14) 6160
pentadecimal (15) 4e64

As an angle

16,744° = 46 × 360° + 184°
184° ≈ 3.211 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιϛψμδʹ
Mayan (base 20)
𝋢·𝋡·𝋱·𝋤
Chinese
一萬六千七百四十四
Chinese (financial)
壹萬陸仟柒佰肆拾肆
In other modern scripts
Eastern Arabic ١٦٧٤٤ Devanagari १६७४४ Bengali ১৬৭৪৪ Tamil ௧௬௭௪௪ Thai ๑๖๗๔๔ Tibetan ༡༦༧༤༤ Khmer ១៦៧៤៤ Lao ໑໖໗໔໔ Burmese ၁၆၇၄၄

Digit at this position in famous constants

π — Pi (π)
Digit 16,744 = 1
e — Euler's number (e)
Digit 16,744 = 9
φ — Golden ratio (φ)
Digit 16,744 = 9
√2 — Pythagoras's (√2)
Digit 16,744 = 2
ln 2 — Natural log of 2
Digit 16,744 = 2
γ — Euler-Mascheroni (γ)
Digit 16,744 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 16744, here are decompositions:

  • 3 + 16741 = 16744
  • 41 + 16703 = 16744
  • 53 + 16691 = 16744
  • 71 + 16673 = 16744
  • 83 + 16661 = 16744
  • 113 + 16631 = 16744
  • 137 + 16607 = 16744
  • 191 + 16553 = 16744

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-4168
U+4168
Other letter (Lo)

UTF-8 encoding: E4 85 A8 (3 bytes).

Hex color
#004168
RGB(0, 65, 104)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.65.104.

Address
0.0.65.104
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.65.104

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

Musical pitch

Heard as a frequency, 16,744 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C10 (16744 Hz, exact)
  • Scientific pitch (C4 = 256 Hz): C10 (16384 Hz, +38¢)
  • Baroque pitch (A4 = 415 Hz): C♯10 (16731.8 Hz, +1¢)
Position in π

The digit sequence 16744 first appears in π at position 51,044 of the decimal expansion (the 51,044ordinal-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