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Number

18,661

18,661 is a prime, odd.

18,661 (eighteen thousand six hundred sixty-one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x48E5.

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

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
22
Digit product
288
Digital root
4
Palindrome
No
Bit width
15 bits
Reversed
16,681
Flips to (rotate 180°)
19,981
Recamán's sequence
a(9,370) = 18,661
Square (n²)
348,232,921
Cube (n³)
6,498,374,538,781
Divisor count
2
σ(n) — sum of divisors
18,662
φ(n) — Euler's totient
18,660

Primality

18,661 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 18661
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 18,661)
1 × 18661
First multiples
18,661 · 37,322 (double) · 55,983 · 74,644 · 93,305 · 111,966 · 130,627 · 149,288 · 167,949 · 186,610

Sums & aliquot sequence

As a sum of two squares: 81² + 110²
As consecutive integers: 9,330 + 9,331

Continued fraction of √n

√18,661 = [136; (1, 1, 1, 1, 6, 1, 90, 4, 1, 21, 1, 29, 2, 2, 67, 1, 9, 7, 2, 22, 3, 3, 22, 2, …)]

Period length 43 — the block in parentheses repeats forever.

Representations

In words
eighteen thousand six hundred sixty-one
Ordinal
18661st
Binary
100100011100101
Octal
44345
Hexadecimal
0x48E5
Base64
SOU=
One's complement
46,874 (16-bit)
Scientific notation
1.8661 × 10⁴
As a duration
18,661 s = 5 hours, 11 minutes, 1 second
In other bases
ternary (3) 221121011
quaternary (4) 10203211
quinary (5) 1044121
senary (6) 222221
septenary (7) 105256
nonary (9) 27534
undecimal (11) 13025
duodecimal (12) a971
tridecimal (13) 8656
tetradecimal (14) 6b2d
pentadecimal (15) 57e1

As an angle

18,661° = 51 × 360° + 301°
301° ≈ 5.253 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ιηχξαʹ
Mayan (base 20)
𝋢·𝋦·𝋭·𝋡
Chinese
一萬八千六百六十一
Chinese (financial)
壹萬捌仟陸佰陸拾壹
In other modern scripts
Eastern Arabic ١٨٦٦١ Devanagari १८६६१ Bengali ১৮৬৬১ Tamil ௧௮௬௬௧ Thai ๑๘๖๖๑ Tibetan ༡༨༦༦༡ Khmer ១៨៦៦១ Lao ໑໘໖໖໑ Burmese ၁၈၆၆၁

Digit at this position in famous constants

π — Pi (π)
Digit 18,661 = 7
e — Euler's number (e)
Digit 18,661 = 2
φ — Golden ratio (φ)
Digit 18,661 = 0
√2 — Pythagoras's (√2)
Digit 18,661 = 5
ln 2 — Natural log of 2
Digit 18,661 = 8
γ — Euler-Mascheroni (γ)
Digit 18,661 = 6

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 18,637 (gap of 24)
  • Next prime: 18,671 (gap of 10)
Unicode codepoint
CJK Unified Ideograph-48E5
U+48E5
Other letter (Lo)

UTF-8 encoding: E4 A3 A5 (3 bytes).

Hex color
#0048E5
RGB(0, 72, 229)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.72.229.

Address
0.0.72.229
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.72.229

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

Musical pitch

Heard as a frequency, 18,661 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D10 (18794.5 Hz, -12¢)
  • Scientific pitch (C4 = 256 Hz): D10 (18390.4 Hz, +25¢)
  • Baroque pitch (A4 = 415 Hz): D♯10 (18780.8 Hz, -11¢)
Position in π

The digit sequence 18661 first appears in π at position 58,433 of the decimal expansion (the 58,433ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.