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Number

14,369

14,369 is a prime, odd.

14,369 (fourteen thousand three hundred sixty-nine) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x3821.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
23
Digit product
648
Digital root
5
Palindrome
No
Bit width
14 bits
Reversed
96,341
Recamán's sequence
a(19,978) = 14,369
Square (n²)
206,468,161
Cube (n³)
2,966,741,005,409
Divisor count
2
σ(n) — sum of divisors
14,370
φ(n) — Euler's totient
14,368

Primality

14,369 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 14369
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 14,369)
1 × 14369
First multiples
14,369 · 28,738 (double) · 43,107 · 57,476 · 71,845 · 86,214 · 100,583 · 114,952 · 129,321 · 143,690

Sums & aliquot sequence

As a sum of two squares: 40² + 113²
As consecutive integers: 7,184 + 7,185

Continued fraction of √n

√14,369 = [119; (1, 6, 1, 2, 1, 4, 2, 1, 3, 1, 2, 29, 1, 1, 1, 1, 3, 1, 11, 1, 5, 13, 1, 14, …)]

Representations

In words
fourteen thousand three hundred sixty-nine
Ordinal
14369th
Binary
11100000100001
Octal
34041
Hexadecimal
0x3821
Base64
OCE=
One's complement
51,166 (16-bit)
Scientific notation
1.4369 × 10⁴
As a duration
14,369 s = 3 hours, 59 minutes, 29 seconds
In other bases
ternary (3) 201201012
quaternary (4) 3200201
quinary (5) 424434
senary (6) 150305
septenary (7) 56615
nonary (9) 21635
undecimal (11) a883
duodecimal (12) 8395
tridecimal (13) 6704
tetradecimal (14) 5345
pentadecimal (15) 43ce

As an angle

14,369° = 39 × 360° + 329°
329° ≈ 5.742 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιδτξθʹ
Mayan (base 20)
𝋡·𝋯·𝋲·𝋩
Chinese
一萬四千三百六十九
Chinese (financial)
壹萬肆仟參佰陸拾玖
In other modern scripts
Eastern Arabic ١٤٣٦٩ Devanagari १४३६९ Bengali ১৪৩৬৯ Tamil ௧௪௩௬௯ Thai ๑๔๓๖๙ Tibetan ༡༤༣༦༩ Khmer ១៤៣៦៩ Lao ໑໔໓໖໙ Burmese ၁၄၃၆၉

Digit at this position in famous constants

π — Pi (π)
Digit 14,369 = 6
e — Euler's number (e)
Digit 14,369 = 0
φ — Golden ratio (φ)
Digit 14,369 = 0
√2 — Pythagoras's (√2)
Digit 14,369 = 6
ln 2 — Natural log of 2
Digit 14,369 = 7
γ — Euler-Mascheroni (γ)
Digit 14,369 = 5

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 14,347 (gap of 22)
  • Next prime: 14,387 (gap of 18)
Unicode codepoint
CJK Unified Ideograph-3821
U+3821
Other letter (Lo)

UTF-8 encoding: E3 A0 A1 (3 bytes).

Hex color
#003821
RGB(0, 56, 33)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.56.33.

Address
0.0.56.33
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.56.33

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

Musical pitch

Heard as a frequency, 14,369 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A9 (14080 Hz, +35¢)
  • Scientific pitch (C4 = 256 Hz): A♯9 (14596.5 Hz, -27¢)
  • Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, +36¢)
Position in π

The digit sequence 14369 first appears in π at position 71,863 of the decimal expansion (the 71,863ordinal-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

  • 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.