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Number

16,189

16,189 is a prime, odd.

16,189 (sixteen thousand one hundred eighty-nine) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x3F3D.

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

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
25
Digit product
432
Digital root
7
Palindrome
No
Bit width
14 bits
Reversed
98,161
Flips to (rotate 180°)
68,191
Recamán's sequence
a(5,954) = 16,189
Square (n²)
262,083,721
Cube (n³)
4,242,873,359,269
Divisor count
2
σ(n) — sum of divisors
16,190
φ(n) — Euler's totient
16,188

Primality

16,189 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 16189
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 16,189)
1 × 16189
First multiples
16,189 · 32,378 (double) · 48,567 · 64,756 · 80,945 · 97,134 · 113,323 · 129,512 · 145,701 · 161,890

Sums & aliquot sequence

As a sum of two squares: 50² + 117²
As consecutive integers: 8,094 + 8,095

Continued fraction of √n

√16,189 = [127; (4, 4, 4, 1, 1, 1, 12, 1, 2, 1, 84, 12, 1, 2, 2, 7, 1, 3, 1, 1, 2, 1, 1, 27, …)]

Representations

In words
sixteen thousand one hundred eighty-nine
Ordinal
16189th
Binary
11111100111101
Octal
37475
Hexadecimal
0x3F3D
Base64
Pz0=
One's complement
49,346 (16-bit)
Scientific notation
1.6189 × 10⁴
As a duration
16,189 s = 4 hours, 29 minutes, 49 seconds
In other bases
ternary (3) 211012121
quaternary (4) 3330331
quinary (5) 1004224
senary (6) 202541
septenary (7) 65125
nonary (9) 24177
undecimal (11) 11188
duodecimal (12) 9451
tridecimal (13) 74a4
tetradecimal (14) 5c85
pentadecimal (15) 4be4

As an angle

16,189° = 44 × 360° + 349°
349° ≈ 6.091 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιϛρπθʹ
Mayan (base 20)
𝋢·𝋠·𝋩·𝋩
Chinese
一萬六千一百八十九
Chinese (financial)
壹萬陸仟壹佰捌拾玖
In other modern scripts
Eastern Arabic ١٦١٨٩ Devanagari १६१८९ Bengali ১৬১৮৯ Tamil ௧௬௧௮௯ Thai ๑๖๑๘๙ Tibetan ༡༦༡༨༩ Khmer ១៦១៨៩ Lao ໑໖໑໘໙ Burmese ၁၆၁၈၉

Digit at this position in famous constants

π — Pi (π)
Digit 16,189 = 0
e — Euler's number (e)
Digit 16,189 = 9
φ — Golden ratio (φ)
Digit 16,189 = 9
√2 — Pythagoras's (√2)
Digit 16,189 = 7
ln 2 — Natural log of 2
Digit 16,189 = 0
γ — Euler-Mascheroni (γ)
Digit 16,189 = 0

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 16,187 (gap of 2)
  • Next prime: 16,193 (gap of 4)

Pair status: twin with 16187, cousin with 16193.

Unicode codepoint
CJK Unified Ideograph-3F3D
U+3F3D
Other letter (Lo)

UTF-8 encoding: E3 BC BD (3 bytes).

Hex color
#003F3D
RGB(0, 63, 61)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.63.61.

Address
0.0.63.61
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.63.61

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

Musical pitch

Heard as a frequency, 16,189 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): B9 (15804.3 Hz, +42¢)
  • Scientific pitch (C4 = 256 Hz): C10 (16384 Hz, -21¢)
  • Baroque pitch (A4 = 415 Hz): C10 (15792.7 Hz, +43¢)
Position in π

The digit sequence 16189 first appears in π at position 69,189 of the decimal expansion (the 69,189ordinal-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.