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Number

16,339

16,339 is a prime, odd.

16,339 (sixteen thousand three hundred thirty-nine) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x3FD3.

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

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
22
Digit product
486
Digital root
4
Palindrome
No
Bit width
14 bits
Reversed
93,361
Recamán's sequence
a(18,034) = 16,339
Square (n²)
266,962,921
Cube (n³)
4,361,907,166,219
Divisor count
2
σ(n) — sum of divisors
16,340
φ(n) — Euler's totient
16,338

Primality

16,339 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 16339
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 16,339)
1 × 16339
First multiples
16,339 · 32,678 (double) · 49,017 · 65,356 · 81,695 · 98,034 · 114,373 · 130,712 · 147,051 · 163,390

Sums & aliquot sequence

As consecutive integers: 8,169 + 8,170

Continued fraction of √n

√16,339 = [127; (1, 4, 1, 2, 5, 1, 2, 1, 3, 7, 2, 11, 1, 2, 2, 2, 127, 2, 2, 2, 1, 11, 2, 7, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
sixteen thousand three hundred thirty-nine
Ordinal
16339th
Binary
11111111010011
Octal
37723
Hexadecimal
0x3FD3
Base64
P9M=
One's complement
49,196 (16-bit)
Scientific notation
1.6339 × 10⁴
As a duration
16,339 s = 4 hours, 32 minutes, 19 seconds
In other bases
ternary (3) 211102011
quaternary (4) 3333103
quinary (5) 1010324
senary (6) 203351
septenary (7) 65431
nonary (9) 24364
undecimal (11) 11304
duodecimal (12) 9557
tridecimal (13) 758b
tetradecimal (14) 5d51
pentadecimal (15) 4c94

As an angle

16,339° = 45 × 360° + 139°
139° ≈ 2.426 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιϛτλθʹ
Mayan (base 20)
𝋢·𝋠·𝋰·𝋳
Chinese
一萬六千三百三十九
Chinese (financial)
壹萬陸仟參佰參拾玖
In other modern scripts
Eastern Arabic ١٦٣٣٩ Devanagari १६३३९ Bengali ১৬৩৩৯ Tamil ௧௬௩௩௯ Thai ๑๖๓๓๙ Tibetan ༡༦༣༣༩ Khmer ១៦៣៣៩ Lao ໑໖໓໓໙ Burmese ၁၆၃၃၉

Digit at this position in famous constants

π — Pi (π)
Digit 16,339 = 0
e — Euler's number (e)
Digit 16,339 = 4
φ — Golden ratio (φ)
Digit 16,339 = 5
√2 — Pythagoras's (√2)
Digit 16,339 = 3
ln 2 — Natural log of 2
Digit 16,339 = 3
γ — Euler-Mascheroni (γ)
Digit 16,339 = 4

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 16,333 (gap of 6)
  • Next prime: 16,349 (gap of 10)

Pair status: sexy with 16333.

Unicode codepoint
CJK Unified Ideograph-3Fd3
U+3FD3
Other letter (Lo)

UTF-8 encoding: E3 BF 93 (3 bytes).

Hex color
#003FD3
RGB(0, 63, 211)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.63.211.

Address
0.0.63.211
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.63.211

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

Musical pitch

Heard as a frequency, 16,339 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C10 (16744 Hz, -42¢)
  • Scientific pitch (C4 = 256 Hz): C10 (16384 Hz, -5¢)
  • Baroque pitch (A4 = 415 Hz): C♯10 (16731.8 Hz, -41¢)
Position in π

The digit sequence 16339 first appears in π at position 29,408 of the decimal expansion (the 29,408ordinal-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.