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14,268

14,268 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.).

14,268 (fourteen thousand two hundred sixty-eight) is an even 5-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 29 × 41. Its proper divisors sum to 21,012, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x37BC.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
21
Digit product
384
Digital root
3
Palindrome
No
Bit width
14 bits
Reversed
86,241
Recamán's sequence
a(20,180) = 14,268
Square (n²)
203,575,824
Cube (n³)
2,904,619,856,832
Divisor count
24
σ(n) — sum of divisors
35,280
φ(n) — Euler's totient
4,480
Sum of prime factors
77

Primality

Prime factorization: 2 2 × 3 × 29 × 41

Nearest primes: 14,251 (−17) · 14,281 (+13)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 29 · 41 · 58 · 82 · 87 · 116 · 123 · 164 · 174 · 246 · 348 · 492 · 1189 · 2378 · 3567 · 4756 · 7134 (half) · 14268
Aliquot sum (sum of proper divisors): 21,012
Factor pairs (a × b = 14,268)
1 × 14268
2 × 7134
3 × 4756
4 × 3567
6 × 2378
12 × 1189
29 × 492
41 × 348
58 × 246
82 × 174
87 × 164
116 × 123
First multiples
14,268 · 28,536 (double) · 42,804 · 57,072 · 71,340 · 85,608 · 99,876 · 114,144 · 128,412 · 142,680

Sums & aliquot sequence

As consecutive integers: 4,755 + 4,756 + 4,757 1,780 + 1,781 + … + 1,787 583 + 584 + … + 606 478 + 479 + … + 506
Aliquot sequence: 14,268 21,012 31,404 41,900 49,240 61,640 85,240 106,640 155,248 156,240 462,768 775,248 1,296,048 2,481,488 2,482,480 5,517,008 7,375,024 — unresolved within range

Continued fraction of √n

√14,268 = [119; (2, 4, 2, 1, 1, 1, 9, 1, 3, 6, 1, 58, 1, 6, 3, 1, 9, 1, 1, 1, 2, 4, 2, 238)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
fourteen thousand two hundred sixty-eight
Ordinal
14268th
Binary
11011110111100
Octal
33674
Hexadecimal
0x37BC
Base64
N7w=
One's complement
51,267 (16-bit)
Scientific notation
1.4268 × 10⁴
As a duration
14,268 s = 3 hours, 57 minutes, 48 seconds
In other bases
ternary (3) 201120110
quaternary (4) 3132330
quinary (5) 424033
senary (6) 150020
septenary (7) 56412
nonary (9) 21513
undecimal (11) a7a1
duodecimal (12) 8310
tridecimal (13) 6657
tetradecimal (14) 52b2
pentadecimal (15) 4363

As an angle

14,268° = 39 × 360° + 228°
228° ≈ 3.979 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιδσξηʹ
Mayan (base 20)
𝋡·𝋯·𝋭·𝋨
Chinese
一萬四千二百六十八
Chinese (financial)
壹萬肆仟貳佰陸拾捌
In other modern scripts
Eastern Arabic ١٤٢٦٨ Devanagari १४२६८ Bengali ১৪২৬৮ Tamil ௧௪௨௬௮ Thai ๑๔๒๖๘ Tibetan ༡༤༢༦༨ Khmer ១៤២៦៨ Lao ໑໔໒໖໘ Burmese ၁၄၂၆၈

Digit at this position in famous constants

π — Pi (π)
Digit 14,268 = 7
e — Euler's number (e)
Digit 14,268 = 3
φ — Golden ratio (φ)
Digit 14,268 = 8
√2 — Pythagoras's (√2)
Digit 14,268 = 1
ln 2 — Natural log of 2
Digit 14,268 = 1
γ — Euler-Mascheroni (γ)
Digit 14,268 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 14268, here are decompositions:

  • 17 + 14251 = 14268
  • 19 + 14249 = 14268
  • 47 + 14221 = 14268
  • 61 + 14207 = 14268
  • 71 + 14197 = 14268
  • 109 + 14159 = 14268
  • 181 + 14087 = 14268
  • 197 + 14071 = 14268

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-37Bc
U+37BC
Other letter (Lo)

UTF-8 encoding: E3 9E BC (3 bytes).

Hex color
#0037BC
RGB(0, 55, 188)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.55.188.

Address
0.0.55.188
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.55.188

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

Musical pitch

Heard as a frequency, 14,268 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A9 (14080 Hz, +23¢)
  • Scientific pitch (C4 = 256 Hz): A♯9 (14596.5 Hz, -39¢)
  • Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, +24¢)
Position in π

The digit sequence 14268 first appears in π at position 70,393 of the decimal expansion (the 70,393ordinal-suffix:rd 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.