number.wiki
Number

14,009

14,009 is a prime, odd.

14,009 (fourteen thousand nine) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x36B9.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Recamán's Sequence Sophie Germain Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
14 bits
Reversed
90,041
Recamán's sequence
a(20,698) = 14,009
Square (n²)
196,252,081
Cube (n³)
2,749,295,402,729
Divisor count
2
σ(n) — sum of divisors
14,010
φ(n) — Euler's totient
14,008

Primality

14,009 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 14009
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 14,009)
1 × 14009
First multiples
14,009 · 28,018 (double) · 42,027 · 56,036 · 70,045 · 84,054 · 98,063 · 112,072 · 126,081 · 140,090

Sums & aliquot sequence

As a sum of two squares: 28² + 115²
As consecutive integers: 7,004 + 7,005

Continued fraction of √n

√14,009 = [118; (2, 1, 3, 1, 1, 3, 1, 2, 236)]

Period length 9 — the block in parentheses repeats forever.

Representations

In words
fourteen thousand nine
Ordinal
14009th
Binary
11011010111001
Octal
33271
Hexadecimal
0x36B9
Base64
Nrk=
One's complement
51,526 (16-bit)
Scientific notation
1.4009 × 10⁴
As a duration
14,009 s = 3 hours, 53 minutes, 29 seconds
In other bases
ternary (3) 201012212
quaternary (4) 3122321
quinary (5) 422014
senary (6) 144505
septenary (7) 55562
nonary (9) 21185
undecimal (11) a586
duodecimal (12) 8135
tridecimal (13) 64b8
tetradecimal (14) 5169
pentadecimal (15) 423e

As an angle

14,009° = 38 × 360° + 329°
329° ≈ 5.742 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιδθʹ
Mayan (base 20)
𝋡·𝋯·𝋠·𝋩
Chinese
一萬四千零九
Chinese (financial)
壹萬肆仟零玖
In other modern scripts
Eastern Arabic ١٤٠٠٩ Devanagari १४००९ Bengali ১৪০০৯ Tamil ௧௪௦௦௯ Thai ๑๔๐๐๙ Tibetan ༡༤༠༠༩ Khmer ១៤០០៩ Lao ໑໔໐໐໙ Burmese ၁၄၀၀၉

Digit at this position in famous constants

π — Pi (π)
Digit 14,009 = 9
e — Euler's number (e)
Digit 14,009 = 4
φ — Golden ratio (φ)
Digit 14,009 = 2
√2 — Pythagoras's (√2)
Digit 14,009 = 6
ln 2 — Natural log of 2
Digit 14,009 = 4
γ — Euler-Mascheroni (γ)
Digit 14,009 = 9

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 13,999 (gap of 10)
  • Next prime: 14,011 (gap of 2)

Pair status: twin with 14011.

Unicode codepoint
CJK Unified Ideograph-36B9
U+36B9
Other letter (Lo)

UTF-8 encoding: E3 9A B9 (3 bytes).

Hex color
#0036B9
RGB(0, 54, 185)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.185.

Address
0.0.54.185
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.54.185

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

Musical pitch

Heard as a frequency, 14,009 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -9¢)
  • Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, +29¢)
  • Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -7¢)
Position in π

The digit sequence 14009 first appears in π at position 87,199 of the decimal expansion (the 87,199ordinal-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.