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Number

16,823

16,823 is a prime, odd.

16,823 (sixteen thousand eight hundred twenty-three) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x41B7.

Arithmetic Number Cube-Free Deficient Number Evil Number Left-Truncatable Prime Prime Recamán's Sequence Sexy Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
20
Digit product
288
Digital root
2
Palindrome
No
Bit width
15 bits
Reversed
32,861
Recamán's sequence
a(17,590) = 16,823
Square (n²)
283,013,329
Cube (n³)
4,761,133,233,767
Divisor count
2
σ(n) — sum of divisors
16,824
φ(n) — Euler's totient
16,822

Primality

16,823 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 16823
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 16,823)
1 × 16823
First multiples
16,823 · 33,646 (double) · 50,469 · 67,292 · 84,115 · 100,938 · 117,761 · 134,584 · 151,407 · 168,230

Sums & aliquot sequence

As consecutive integers: 8,411 + 8,412

Continued fraction of √n

√16,823 = [129; (1, 2, 2, 1, 2, 6, 1, 1, 1, 3, 1, 1, 1, 1, 22, 1, 36, 9, 1, 19, 18, 2, 11, 3, …)]

Representations

In words
sixteen thousand eight hundred twenty-three
Ordinal
16823rd
Binary
100000110110111
Octal
40667
Hexadecimal
0x41B7
Base64
Qbc=
One's complement
48,712 (16-bit)
Scientific notation
1.6823 × 10⁴
As a duration
16,823 s = 4 hours, 40 minutes, 23 seconds
In other bases
ternary (3) 212002002
quaternary (4) 10012313
quinary (5) 1014243
senary (6) 205515
septenary (7) 100022
nonary (9) 25062
undecimal (11) 11704
duodecimal (12) 989b
tridecimal (13) 7871
tetradecimal (14) 61b9
pentadecimal (15) 4eb8

As an angle

16,823° = 46 × 360° + 263°
263° ≈ 4.59 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ιϛωκγʹ
Mayan (base 20)
𝋢·𝋢·𝋡·𝋣
Chinese
一萬六千八百二十三
Chinese (financial)
壹萬陸仟捌佰貳拾參
In other modern scripts
Eastern Arabic ١٦٨٢٣ Devanagari १६८२३ Bengali ১৬৮২৩ Tamil ௧௬௮௨௩ Thai ๑๖๘๒๓ Tibetan ༡༦༨༢༣ Khmer ១៦៨២៣ Lao ໑໖໘໒໓ Burmese ၁၆၈၂၃

Digit at this position in famous constants

π — Pi (π)
Digit 16,823 = 1
e — Euler's number (e)
Digit 16,823 = 0
φ — Golden ratio (φ)
Digit 16,823 = 0
√2 — Pythagoras's (√2)
Digit 16,823 = 6
ln 2 — Natural log of 2
Digit 16,823 = 8
γ — Euler-Mascheroni (γ)
Digit 16,823 = 7

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 16,811 (gap of 12)
  • Next prime: 16,829 (gap of 6)

Pair status: sexy with 16829.

Unicode codepoint
CJK Unified Ideograph-41B7
U+41B7
Other letter (Lo)

UTF-8 encoding: E4 86 B7 (3 bytes).

Hex color
#0041B7
RGB(0, 65, 183)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.65.183.

Address
0.0.65.183
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.65.183

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

Musical pitch

Heard as a frequency, 16,823 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C10 (16744 Hz, +8¢)
  • Scientific pitch (C4 = 256 Hz): C10 (16384 Hz, +46¢ — about midway to C♯10)
  • Baroque pitch (A4 = 415 Hz): C♯10 (16731.8 Hz, +9¢)
Position in π

The digit sequence 16823 first appears in π at position 53,632 of the decimal expansion (the 53,632ordinal-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.