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Number

16,363

16,363 is a prime, odd.

16,363 (sixteen thousand three hundred sixty-three) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x3FEB.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number Prime Recamán's Sequence Self Number Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
19
Digit product
324
Digital root
1
Palindrome
No
Bit width
14 bits
Reversed
36,361
Recamán's sequence
a(17,986) = 16,363
Square (n²)
267,747,769
Cube (n³)
4,381,156,744,147
Divisor count
2
σ(n) — sum of divisors
16,364
φ(n) — Euler's totient
16,362

Primality

16,363 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 16363
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 16,363)
1 × 16363
First multiples
16,363 · 32,726 (double) · 49,089 · 65,452 · 81,815 · 98,178 · 114,541 · 130,904 · 147,267 · 163,630

Sums & aliquot sequence

As consecutive integers: 8,181 + 8,182

Continued fraction of √n

√16,363 = [127; (1, 11, 5, 2, 1, 3, 1, 1, 35, 1, 84, 3, 3, 1, 2, 1, 2, 4, 1, 5, 1, 11, 3, 28, …)]

Representations

In words
sixteen thousand three hundred sixty-three
Ordinal
16363rd
Binary
11111111101011
Octal
37753
Hexadecimal
0x3FEB
Base64
P+s=
One's complement
49,172 (16-bit)
Scientific notation
1.6363 × 10⁴
As a duration
16,363 s = 4 hours, 32 minutes, 43 seconds
In other bases
ternary (3) 211110001
quaternary (4) 3333223
quinary (5) 1010423
senary (6) 203431
septenary (7) 65464
nonary (9) 24401
undecimal (11) 11326
duodecimal (12) 9577
tridecimal (13) 75a9
tetradecimal (14) 5d6b
pentadecimal (15) 4cad

As an angle

16,363° = 45 × 360° + 163°
163° ≈ 2.845 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ιϛτξγʹ
Mayan (base 20)
𝋢·𝋠·𝋲·𝋣
Chinese
一萬六千三百六十三
Chinese (financial)
壹萬陸仟參佰陸拾參
In other modern scripts
Eastern Arabic ١٦٣٦٣ Devanagari १६३६३ Bengali ১৬৩৬৩ Tamil ௧௬௩௬௩ Thai ๑๖๓๖๓ Tibetan ༡༦༣༦༣ Khmer ១៦៣៦៣ Lao ໑໖໓໖໓ Burmese ၁၆၃၆၃

Digit at this position in famous constants

π — Pi (π)
Digit 16,363 = 2
e — Euler's number (e)
Digit 16,363 = 0
φ — Golden ratio (φ)
Digit 16,363 = 1
√2 — Pythagoras's (√2)
Digit 16,363 = 6
ln 2 — Natural log of 2
Digit 16,363 = 6
γ — Euler-Mascheroni (γ)
Digit 16,363 = 7

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 16,361 (gap of 2)
  • Next prime: 16,369 (gap of 6)

Pair status: twin with 16361, sexy with 16369.

Unicode codepoint
CJK Unified Ideograph-3Feb
U+3FEB
Other letter (Lo)

UTF-8 encoding: E3 BF AB (3 bytes).

Hex color
#003FEB
RGB(0, 63, 235)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.63.235.

Address
0.0.63.235
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.63.235

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

Musical pitch

Heard as a frequency, 16,363 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C10 (16744 Hz, -40¢)
  • Scientific pitch (C4 = 256 Hz): C10 (16384 Hz, -2¢)
  • Baroque pitch (A4 = 415 Hz): C♯10 (16731.8 Hz, -39¢)
Position in π

The digit sequence 16363 first appears in π at position 77,927 of the decimal expansion (the 77,927ordinal-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.