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Number

18,341

18,341 is a prime, odd.

18,341 (eighteen thousand three hundred forty-one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x47A5.

Arithmetic Number Balanced Prime Cube-Free Deficient Number Evil Number Happy Number Prime Pythagorean Prime Recamán's Sequence Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
17
Digit product
96
Digital root
8
Palindrome
No
Bit width
15 bits
Reversed
14,381
Recamán's sequence
a(13,786) = 18,341
Square (n²)
336,392,281
Cube (n³)
6,169,770,825,821
Divisor count
2
σ(n) — sum of divisors
18,342
φ(n) — Euler's totient
18,340

Primality

18,341 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 18341
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 18,341)
1 × 18341
First multiples
18,341 · 36,682 (double) · 55,023 · 73,364 · 91,705 · 110,046 · 128,387 · 146,728 · 165,069 · 183,410

Sums & aliquot sequence

As a sum of two squares: 79² + 110²
As consecutive integers: 9,170 + 9,171

Continued fraction of √n

√18,341 = [135; (2, 3, 53, 1, 7, 1, 3, 10, 1, 1, 2, 1, 2, 1, 5, 1, 1, 3, 5, 1, 6, 1, 8, 1, …)]

Representations

In words
eighteen thousand three hundred forty-one
Ordinal
18341st
Binary
100011110100101
Octal
43645
Hexadecimal
0x47A5
Base64
R6U=
One's complement
47,194 (16-bit)
Scientific notation
1.8341 × 10⁴
As a duration
18,341 s = 5 hours, 5 minutes, 41 seconds
In other bases
ternary (3) 221011022
quaternary (4) 10132211
quinary (5) 1041331
senary (6) 220525
septenary (7) 104321
nonary (9) 27138
undecimal (11) 12864
duodecimal (12) a745
tridecimal (13) 846b
tetradecimal (14) 6981
pentadecimal (15) 567b

As an angle

18,341° = 50 × 360° + 341°
341° ≈ 5.952 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ιητμαʹ
Mayan (base 20)
𝋢·𝋥·𝋱·𝋡
Chinese
一萬八千三百四十一
Chinese (financial)
壹萬捌仟參佰肆拾壹
In other modern scripts
Eastern Arabic ١٨٣٤١ Devanagari १८३४१ Bengali ১৮৩৪১ Tamil ௧௮௩௪௧ Thai ๑๘๓๔๑ Tibetan ༡༨༣༤༡ Khmer ១៨៣៤១ Lao ໑໘໓໔໑ Burmese ၁၈၃၄၁

Digit at this position in famous constants

π — Pi (π)
Digit 18,341 = 2
e — Euler's number (e)
Digit 18,341 = 9
φ — Golden ratio (φ)
Digit 18,341 = 5
√2 — Pythagoras's (√2)
Digit 18,341 = 5
ln 2 — Natural log of 2
Digit 18,341 = 7
γ — Euler-Mascheroni (γ)
Digit 18,341 = 5

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 18,329 (gap of 12)
  • Next prime: 18,353 (gap of 12)
Unicode codepoint
CJK Unified Ideograph-47A5
U+47A5
Other letter (Lo)

UTF-8 encoding: E4 9E A5 (3 bytes).

Hex color
#0047A5
RGB(0, 71, 165)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.71.165.

Address
0.0.71.165
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.71.165

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

Musical pitch

Heard as a frequency, 18,341 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D10 (18794.5 Hz, -42¢)
  • Scientific pitch (C4 = 256 Hz): D10 (18390.4 Hz, -5¢)
  • Baroque pitch (A4 = 415 Hz): D♯10 (18780.8 Hz, -41¢)
Position in π

The digit sequence 18341 first appears in π at position 635,705 of the decimal expansion (the 635,705ordinal-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.