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Number

18,313

18,313 is a prime, odd.

18,313 (eighteen thousand three hundred thirteen) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x4789.

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

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
16
Digit product
72
Digital root
7
Palindrome
No
Bit width
15 bits
Reversed
31,381
Recamán's sequence
a(13,842) = 18,313
Square (n²)
335,365,969
Cube (n³)
6,141,556,990,297
Divisor count
2
σ(n) — sum of divisors
18,314
φ(n) — Euler's totient
18,312

Primality

18,313 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 18313
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 18,313)
1 × 18313
First multiples
18,313 · 36,626 (double) · 54,939 · 73,252 · 91,565 · 109,878 · 128,191 · 146,504 · 164,817 · 183,130

Sums & aliquot sequence

As a sum of two squares: 68² + 117²
As consecutive integers: 9,156 + 9,157

Continued fraction of √n

√18,313 = [135; (3, 13, 1, 10, 2, 1, 7, 1, 1, 9, 2, 38, 5, 3, 1, 1, 3, 1, 1, 1, 20, 5, 1, 1, …)]

Representations

In words
eighteen thousand three hundred thirteen
Ordinal
18313th
Binary
100011110001001
Octal
43611
Hexadecimal
0x4789
Base64
R4k=
One's complement
47,222 (16-bit)
Scientific notation
1.8313 × 10⁴
As a duration
18,313 s = 5 hours, 5 minutes, 13 seconds
In other bases
ternary (3) 221010021
quaternary (4) 10132021
quinary (5) 1041223
senary (6) 220441
septenary (7) 104251
nonary (9) 27107
undecimal (11) 12839
duodecimal (12) a721
tridecimal (13) 8449
tetradecimal (14) 6961
pentadecimal (15) 565d

As an angle

18,313° = 50 × 360° + 313°
313° ≈ 5.463 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ιητιγʹ
Mayan (base 20)
𝋢·𝋥·𝋯·𝋭
Chinese
一萬八千三百一十三
Chinese (financial)
壹萬捌仟參佰壹拾參
In other modern scripts
Eastern Arabic ١٨٣١٣ Devanagari १८३१३ Bengali ১৮৩১৩ Tamil ௧௮௩௧௩ Thai ๑๘๓๑๓ Tibetan ༡༨༣༡༣ Khmer ១៨៣១៣ Lao ໑໘໓໑໓ Burmese ၁၈၃၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 18,313 = 4
e — Euler's number (e)
Digit 18,313 = 5
φ — Golden ratio (φ)
Digit 18,313 = 2
√2 — Pythagoras's (√2)
Digit 18,313 = 0
ln 2 — Natural log of 2
Digit 18,313 = 3
γ — Euler-Mascheroni (γ)
Digit 18,313 = 4

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 18,311 (gap of 2)
  • Next prime: 18,329 (gap of 16)

Pair status: twin with 18311.

Unicode codepoint
CJK Unified Ideograph-4789
U+4789
Other letter (Lo)

UTF-8 encoding: E4 9E 89 (3 bytes).

Hex color
#004789
RGB(0, 71, 137)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.71.137.

Address
0.0.71.137
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.71.137

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

Musical pitch

Heard as a frequency, 18,313 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D10 (18794.5 Hz, -45¢ — about midway to C♯10)
  • Scientific pitch (C4 = 256 Hz): D10 (18390.4 Hz, -7¢)
  • Baroque pitch (A4 = 415 Hz): D♯10 (18780.8 Hz, -44¢)
Position in π

The digit sequence 18313 first appears in π at position 11,184 of the decimal expansion (the 11,184ordinal-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.