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Number

14,717

14,717 is a prime, odd.

14,717 (fourteen thousand seven hundred seventeen) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x397D.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
20
Digit product
196
Digital root
2
Palindrome
No
Bit width
14 bits
Reversed
71,741
Recamán's sequence
a(46,429) = 14,717
Square (n²)
216,590,089
Cube (n³)
3,187,556,339,813
Divisor count
2
σ(n) — sum of divisors
14,718
φ(n) — Euler's totient
14,716

Primality

14,717 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 14717
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 14,717)
1 × 14717
First multiples
14,717 · 29,434 (double) · 44,151 · 58,868 · 73,585 · 88,302 · 103,019 · 117,736 · 132,453 · 147,170

Sums & aliquot sequence

As a sum of two squares: 59² + 106²
As consecutive integers: 7,358 + 7,359

Continued fraction of √n

√14,717 = [121; (3, 5, 3, 4, 2, 1, 5, 4, 2, 2, 18, 3, 1, 12, 60, 1, 1, 2, 1, 2, 4, 1, 3, 1, …)]

Period length 55 — the block in parentheses repeats forever.

Representations

In words
fourteen thousand seven hundred seventeen
Ordinal
14717th
Binary
11100101111101
Octal
34575
Hexadecimal
0x397D
Base64
OX0=
One's complement
50,818 (16-bit)
Scientific notation
1.4717 × 10⁴
As a duration
14,717 s = 4 hours, 5 minutes, 17 seconds
In other bases
ternary (3) 202012002
quaternary (4) 3211331
quinary (5) 432332
senary (6) 152045
septenary (7) 60623
nonary (9) 22162
undecimal (11) 1006a
duodecimal (12) 8625
tridecimal (13) 6911
tetradecimal (14) 5513
pentadecimal (15) 4562

As an angle

14,717° = 40 × 360° + 317°
317° ≈ 5.533 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιδψιζʹ
Mayan (base 20)
𝋡·𝋰·𝋯·𝋱
Chinese
一萬四千七百一十七
Chinese (financial)
壹萬肆仟柒佰壹拾柒
In other modern scripts
Eastern Arabic ١٤٧١٧ Devanagari १४७१७ Bengali ১৪৭১৭ Tamil ௧௪௭௧௭ Thai ๑๔๗๑๗ Tibetan ༡༤༧༡༧ Khmer ១៤៧១៧ Lao ໑໔໗໑໗ Burmese ၁၄၇၁၇

Digit at this position in famous constants

π — Pi (π)
Digit 14,717 = 7
e — Euler's number (e)
Digit 14,717 = 2
φ — Golden ratio (φ)
Digit 14,717 = 4
√2 — Pythagoras's (√2)
Digit 14,717 = 9
ln 2 — Natural log of 2
Digit 14,717 = 5
γ — Euler-Mascheroni (γ)
Digit 14,717 = 7

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 14,713 (gap of 4)
  • Next prime: 14,723 (gap of 6)

Pair status: cousin with 14713, sexy with 14723.

Unicode codepoint
CJK Unified Ideograph-397D
U+397D
Other letter (Lo)

UTF-8 encoding: E3 A5 BD (3 bytes).

Hex color
#00397D
RGB(0, 57, 125)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.57.125.

Address
0.0.57.125
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.57.125

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

Musical pitch

Heard as a frequency, 14,717 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A♯9 (14917.2 Hz, -23¢)
  • Scientific pitch (C4 = 256 Hz): A♯9 (14596.5 Hz, +14¢)
  • Baroque pitch (A4 = 415 Hz): B9 (14906.3 Hz, -22¢)
Position in π

The digit sequence 14717 first appears in π at position 165,581 of the decimal expansion (the 165,581ordinal-suffix:st 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.