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Number

16,831

16,831 is a prime, odd.

16,831 (sixteen thousand eight hundred thirty-one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x41BF.

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

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
19
Digit product
144
Digital root
1
Palindrome
No
Bit width
15 bits
Reversed
13,861
Recamán's sequence
a(17,574) = 16,831
Square (n²)
283,282,561
Cube (n³)
4,767,928,784,191
Divisor count
2
σ(n) — sum of divisors
16,832
φ(n) — Euler's totient
16,830

Primality

16,831 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 16831
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 16,831)
1 × 16831
First multiples
16,831 · 33,662 (double) · 50,493 · 67,324 · 84,155 · 100,986 · 117,817 · 134,648 · 151,479 · 168,310

Sums & aliquot sequence

As consecutive integers: 8,415 + 8,416

Continued fraction of √n

√16,831 = [129; (1, 2, 1, 3, 4, 7, 1, 1, 1, 2, 4, 2, 1, 14, 1, 1, 2, 1, 16, 1, 1, 2, 1, 1, …)]

Representations

In words
sixteen thousand eight hundred thirty-one
Ordinal
16831st
Binary
100000110111111
Octal
40677
Hexadecimal
0x41BF
Base64
Qb8=
One's complement
48,704 (16-bit)
Scientific notation
1.6831 × 10⁴
As a duration
16,831 s = 4 hours, 40 minutes, 31 seconds
In other bases
ternary (3) 212002101
quaternary (4) 10012333
quinary (5) 1014311
senary (6) 205531
septenary (7) 100033
nonary (9) 25071
undecimal (11) 11711
duodecimal (12) 98a7
tridecimal (13) 7879
tetradecimal (14) 61c3
pentadecimal (15) 4ec1
Palindromic in base 11

As an angle

16,831° = 46 × 360° + 271°
271° ≈ 4.73 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ιϛωλαʹ
Mayan (base 20)
𝋢·𝋢·𝋡·𝋫
Chinese
一萬六千八百三十一
Chinese (financial)
壹萬陸仟捌佰參拾壹
In other modern scripts
Eastern Arabic ١٦٨٣١ Devanagari १६८३१ Bengali ১৬৮৩১ Tamil ௧௬௮௩௧ Thai ๑๖๘๓๑ Tibetan ༡༦༨༣༡ Khmer ១៦៨៣១ Lao ໑໖໘໓໑ Burmese ၁၆၈၃၁

Digit at this position in famous constants

π — Pi (π)
Digit 16,831 = 4
e — Euler's number (e)
Digit 16,831 = 6
φ — Golden ratio (φ)
Digit 16,831 = 4
√2 — Pythagoras's (√2)
Digit 16,831 = 7
ln 2 — Natural log of 2
Digit 16,831 = 4
γ — Euler-Mascheroni (γ)
Digit 16,831 = 7

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 16,829 (gap of 2)
  • Next prime: 16,843 (gap of 12)

Pair status: twin with 16829.

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

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

Hex color
#0041BF
RGB(0, 65, 191)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.65.191.

Address
0.0.65.191
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.65.191

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

Musical pitch

Heard as a frequency, 16,831 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C10 (16744 Hz, +9¢)
  • Scientific pitch (C4 = 256 Hz): C10 (16384 Hz, +47¢ — about midway to C♯10)
  • Baroque pitch (A4 = 415 Hz): C♯10 (16731.8 Hz, +10¢)
Position in π

The digit sequence 16831 first appears in π at position 121,992 of the decimal expansion (the 121,992ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.