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Number

18,521

18,521 is a prime, odd.

18,521 (eighteen thousand five hundred twenty-one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x4859.

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

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
17
Digit product
80
Digital root
8
Palindrome
No
Bit width
15 bits
Reversed
12,581
Recamán's sequence
a(9,090) = 18,521
Square (n²)
343,027,441
Cube (n³)
6,353,211,234,761
Divisor count
2
σ(n) — sum of divisors
18,522
φ(n) — Euler's totient
18,520

Primality

18,521 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 18521
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 18,521)
1 × 18521
First multiples
18,521 · 37,042 (double) · 55,563 · 74,084 · 92,605 · 111,126 · 129,647 · 148,168 · 166,689 · 185,210

Sums & aliquot sequence

As a sum of two squares: 5² + 136²
As consecutive integers: 9,260 + 9,261

Continued fraction of √n

√18,521 = [136; (10, 1, 7, 1, 1, 2, 11, 2, 3, 1, 1, 2, 2, 54, 54, 2, 2, 1, 1, 3, 2, 11, 2, 1, …)]

Period length 29 — the block in parentheses repeats forever.

Representations

In words
eighteen thousand five hundred twenty-one
Ordinal
18521st
Binary
100100001011001
Octal
44131
Hexadecimal
0x4859
Base64
SFk=
One's complement
47,014 (16-bit)
Scientific notation
1.8521 × 10⁴
As a duration
18,521 s = 5 hours, 8 minutes, 41 seconds
In other bases
ternary (3) 221101222
quaternary (4) 10201121
quinary (5) 1043041
senary (6) 221425
septenary (7) 104666
nonary (9) 27358
undecimal (11) 12a08
duodecimal (12) a875
tridecimal (13) 8579
tetradecimal (14) 6a6d
pentadecimal (15) 574b

As an angle

18,521° = 51 × 360° + 161°
161° ≈ 2.81 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ιηφκαʹ
Mayan (base 20)
𝋢·𝋦·𝋦·𝋡
Chinese
一萬八千五百二十一
Chinese (financial)
壹萬捌仟伍佰貳拾壹
In other modern scripts
Eastern Arabic ١٨٥٢١ Devanagari १८५२१ Bengali ১৮৫২১ Tamil ௧௮௫௨௧ Thai ๑๘๕๒๑ Tibetan ༡༨༥༢༡ Khmer ១៨៥២១ Lao ໑໘໕໒໑ Burmese ၁၈၅၂၁

Digit at this position in famous constants

π — Pi (π)
Digit 18,521 = 7
e — Euler's number (e)
Digit 18,521 = 2
φ — Golden ratio (φ)
Digit 18,521 = 5
√2 — Pythagoras's (√2)
Digit 18,521 = 8
ln 2 — Natural log of 2
Digit 18,521 = 1
γ — Euler-Mascheroni (γ)
Digit 18,521 = 7

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 18,517 (gap of 4)
  • Next prime: 18,523 (gap of 2)

Pair status: twin with 18523, cousin with 18517.

Unicode codepoint
CJK Unified Ideograph-4859
U+4859
Other letter (Lo)

UTF-8 encoding: E4 A1 99 (3 bytes).

Hex color
#004859
RGB(0, 72, 89)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.72.89.

Address
0.0.72.89
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.72.89

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

Musical pitch

Heard as a frequency, 18,521 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D10 (18794.5 Hz, -25¢)
  • Scientific pitch (C4 = 256 Hz): D10 (18390.4 Hz, +12¢)
  • Baroque pitch (A4 = 415 Hz): D♯10 (18780.8 Hz, -24¢)
Position in π

The digit sequence 18521 first appears in π at position 22,932 of the decimal expansion (the 22,932ordinal-suffix:nd 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.