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Number

14,197

14,197 is a prime, odd.

14,197 (fourteen thousand one hundred ninety-seven) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x3775.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Lazy Caterer Number Perrin Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
22
Digit product
252
Digital root
4
Palindrome
No
Bit width
14 bits
Reversed
79,141
Recamán's sequence
a(20,322) = 14,197
Square (n²)
201,554,809
Cube (n³)
2,861,473,623,373
Divisor count
2
σ(n) — sum of divisors
14,198
φ(n) — Euler's totient
14,196

Primality

14,197 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 14197
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 14,197)
1 × 14197
First multiples
14,197 · 28,394 (double) · 42,591 · 56,788 · 70,985 · 85,182 · 99,379 · 113,576 · 127,773 · 141,970

Sums & aliquot sequence

As a sum of two squares: 6² + 119²
As consecutive integers: 7,098 + 7,099

Continued fraction of √n

√14,197 = [119; (6, 1, 1, 1, 1, 2, 79, 19, 1, 5, 2, 26, 59, 1, 1, 6, 8, 1, 2, 19, 1, 1, 19, 2, …)]

Period length 43 — the block in parentheses repeats forever.

Representations

In words
fourteen thousand one hundred ninety-seven
Ordinal
14197th
Binary
11011101110101
Octal
33565
Hexadecimal
0x3775
Base64
N3U=
One's complement
51,338 (16-bit)
Scientific notation
1.4197 × 10⁴
As a duration
14,197 s = 3 hours, 56 minutes, 37 seconds
In other bases
ternary (3) 201110211
quaternary (4) 3131311
quinary (5) 423242
senary (6) 145421
septenary (7) 56251
nonary (9) 21424
undecimal (11) a737
duodecimal (12) 8271
tridecimal (13) 6601
tetradecimal (14) 5261
pentadecimal (15) 4317

As an angle

14,197° = 39 × 360° + 157°
157° ≈ 2.74 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιδρϟζʹ
Mayan (base 20)
𝋡·𝋯·𝋩·𝋱
Chinese
一萬四千一百九十七
Chinese (financial)
壹萬肆仟壹佰玖拾柒
In other modern scripts
Eastern Arabic ١٤١٩٧ Devanagari १४१९७ Bengali ১৪১৯৭ Tamil ௧௪௧௯௭ Thai ๑๔๑๙๗ Tibetan ༡༤༡༩༧ Khmer ១៤១៩៧ Lao ໑໔໑໙໗ Burmese ၁၄၁၉၇

Digit at this position in famous constants

π — Pi (π)
Digit 14,197 = 9
e — Euler's number (e)
Digit 14,197 = 0
φ — Golden ratio (φ)
Digit 14,197 = 8
√2 — Pythagoras's (√2)
Digit 14,197 = 8
ln 2 — Natural log of 2
Digit 14,197 = 1
γ — Euler-Mascheroni (γ)
Digit 14,197 = 1

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 14,177 (gap of 20)
  • Next prime: 14,207 (gap of 10)
Unicode codepoint
CJK Unified Ideograph-3775
U+3775
Other letter (Lo)

UTF-8 encoding: E3 9D B5 (3 bytes).

Hex color
#003775
RGB(0, 55, 117)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.55.117.

Address
0.0.55.117
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.55.117

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

Musical pitch

Heard as a frequency, 14,197 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A9 (14080 Hz, +14¢)
  • Scientific pitch (C4 = 256 Hz): A♯9 (14596.5 Hz, -48¢ — about midway to A9)
  • Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, +16¢)
Position in π

The digit sequence 14197 first appears in π at position 450,509 of the decimal expansion (the 450,509ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.