number.wiki
Number

16,319

16,319 is a prime, odd.

16,319 (sixteen thousand three hundred nineteen) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x3FBF.

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

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
20
Digit product
162
Digital root
2
Palindrome
No
Bit width
14 bits
Reversed
91,361
Recamán's sequence
a(18,074) = 16,319
Square (n²)
266,309,761
Cube (n³)
4,345,908,989,759
Divisor count
2
σ(n) — sum of divisors
16,320
φ(n) — Euler's totient
16,318

Primality

16,319 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 16319
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 16,319)
1 × 16319
First multiples
16,319 · 32,638 (double) · 48,957 · 65,276 · 81,595 · 97,914 · 114,233 · 130,552 · 146,871 · 163,190

Sums & aliquot sequence

As consecutive integers: 8,159 + 8,160

Continued fraction of √n

√16,319 = [127; (1, 2, 1, 14, 3, 1, 1, 2, 1, 1, 4, 1, 35, 1, 2, 9, 2, 25, 13, 2, 2, 4, 1, 4, …)]

Representations

In words
sixteen thousand three hundred nineteen
Ordinal
16319th
Binary
11111110111111
Octal
37677
Hexadecimal
0x3FBF
Base64
P78=
One's complement
49,216 (16-bit)
Scientific notation
1.6319 × 10⁴
As a duration
16,319 s = 4 hours, 31 minutes, 59 seconds
In other bases
ternary (3) 211101102
quaternary (4) 3332333
quinary (5) 1010234
senary (6) 203315
septenary (7) 65402
nonary (9) 24342
undecimal (11) 11296
duodecimal (12) 953b
tridecimal (13) 7574
tetradecimal (14) 5d39
pentadecimal (15) 4c7e
Palindromic in base 4, base 9

As an angle

16,319° = 45 × 360° + 119°
119° ≈ 2.077 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιϛτιθʹ
Mayan (base 20)
𝋢·𝋠·𝋯·𝋳
Chinese
一萬六千三百一十九
Chinese (financial)
壹萬陸仟參佰壹拾玖
In other modern scripts
Eastern Arabic ١٦٣١٩ Devanagari १६३१९ Bengali ১৬৩১৯ Tamil ௧௬௩௧௯ Thai ๑๖๓๑๙ Tibetan ༡༦༣༡༩ Khmer ១៦៣១៩ Lao ໑໖໓໑໙ Burmese ၁၆၃၁၉

Digit at this position in famous constants

π — Pi (π)
Digit 16,319 = 3
e — Euler's number (e)
Digit 16,319 = 8
φ — Golden ratio (φ)
Digit 16,319 = 9
√2 — Pythagoras's (√2)
Digit 16,319 = 3
ln 2 — Natural log of 2
Digit 16,319 = 4
γ — Euler-Mascheroni (γ)
Digit 16,319 = 1

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 16,301 (gap of 18)
  • Next prime: 16,333 (gap of 14)
Unicode codepoint
㾿
CJK Unified Ideograph-3Fbf
U+3FBF
Other letter (Lo)

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

Hex color
#003FBF
RGB(0, 63, 191)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.63.191.

Address
0.0.63.191
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.63.191

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

Musical pitch

Heard as a frequency, 16,319 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C10 (16744 Hz, -45¢ — about midway to B9)
  • Scientific pitch (C4 = 256 Hz): C10 (16384 Hz, -7¢)
  • Baroque pitch (A4 = 415 Hz): C♯10 (16731.8 Hz, -43¢)
Position in π

The digit sequence 16319 first appears in π at position 129,664 of the decimal expansion (the 129,664ordinal-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.