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Number

14,447

14,447 is a prime, odd.

14,447 (fourteen thousand four hundred forty-seven) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x386F.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Odious Number Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
20
Digit product
448
Digital root
2
Palindrome
No
Bit width
14 bits
Reversed
74,441
Recamán's sequence
a(90,738) = 14,447
Square (n²)
208,715,809
Cube (n³)
3,015,317,292,623
Divisor count
2
σ(n) — sum of divisors
14,448
φ(n) — Euler's totient
14,446

Primality

14,447 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 14447
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 14,447)
1 × 14447
First multiples
14,447 · 28,894 (double) · 43,341 · 57,788 · 72,235 · 86,682 · 101,129 · 115,576 · 130,023 · 144,470

Sums & aliquot sequence

As consecutive integers: 7,223 + 7,224

Continued fraction of √n

√14,447 = [120; (5, 9, 21, 1, 2, 1, 11, 1, 9, 1, 1, 7, 1, 3, 3, 1, 4, 2, 5, 1, 6, 1, 10, 18, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words
fourteen thousand four hundred forty-seven
Ordinal
14447th
Binary
11100001101111
Octal
34157
Hexadecimal
0x386F
Base64
OG8=
One's complement
51,088 (16-bit)
Scientific notation
1.4447 × 10⁴
As a duration
14,447 s = 4 hours, 47 seconds
In other bases
ternary (3) 201211002
quaternary (4) 3201233
quinary (5) 430242
senary (6) 150515
septenary (7) 60056
nonary (9) 21732
undecimal (11) a944
duodecimal (12) 843b
tridecimal (13) 6764
tetradecimal (14) 539d
pentadecimal (15) 4432

As an angle

14,447° = 40 × 360° + 47°
47° ≈ 0.82 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 · 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιδυμζʹ
Mayan (base 20)
𝋡·𝋰·𝋢·𝋧
Chinese
一萬四千四百四十七
Chinese (financial)
壹萬肆仟肆佰肆拾柒
In other modern scripts
Eastern Arabic ١٤٤٤٧ Devanagari १४४४७ Bengali ১৪৪৪৭ Tamil ௧௪௪௪௭ Thai ๑๔๔๔๗ Tibetan ༡༤༤༤༧ Khmer ១៤៤៤៧ Lao ໑໔໔໔໗ Burmese ၁၄၄၄၇

Digit at this position in famous constants

π — Pi (π)
Digit 14,447 = 0
e — Euler's number (e)
Digit 14,447 = 1
φ — Golden ratio (φ)
Digit 14,447 = 2
√2 — Pythagoras's (√2)
Digit 14,447 = 0
ln 2 — Natural log of 2
Digit 14,447 = 0
γ — Euler-Mascheroni (γ)
Digit 14,447 = 7

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 14,437 (gap of 10)
  • Next prime: 14,449 (gap of 2)

Pair status: twin with 14449.

Unicode codepoint
CJK Unified Ideograph-386F
U+386F
Other letter (Lo)

UTF-8 encoding: E3 A1 AF (3 bytes).

Hex color
#00386F
RGB(0, 56, 111)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.56.111.

Address
0.0.56.111
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.56.111

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

Musical pitch

Heard as a frequency, 14,447 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A9 (14080 Hz, +45¢ — about midway to A♯9)
  • Scientific pitch (C4 = 256 Hz): A♯9 (14596.5 Hz, -18¢)
  • Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, +46¢ — about midway to B9)
Position in π

The digit sequence 14447 first appears in π at position 34,586 of the decimal expansion (the 34,586ordinal-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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.