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Number

16,829

16,829 is a prime, odd.

16,829 (sixteen thousand eight hundred twenty-nine) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x41BD.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
26
Digit product
864
Digital root
8
Palindrome
No
Bit width
15 bits
Reversed
92,861
Recamán's sequence
a(17,578) = 16,829
Square (n²)
283,215,241
Cube (n³)
4,766,229,290,789
Divisor count
2
σ(n) — sum of divisors
16,830
φ(n) — Euler's totient
16,828

Primality

16,829 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 16829
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 16,829)
1 × 16829
First multiples
16,829 · 33,658 (double) · 50,487 · 67,316 · 84,145 · 100,974 · 117,803 · 134,632 · 151,461 · 168,290

Sums & aliquot sequence

As a sum of two squares: 85² + 98²
As consecutive integers: 8,414 + 8,415

Continued fraction of √n

√16,829 = [129; (1, 2, 1, 1, 1, 12, 2, 1, 36, 2, 1, 1, 3, 4, 1, 1, 1, 1, 1, 1, 2, 4, 1, 10, …)]

Representations

In words
sixteen thousand eight hundred twenty-nine
Ordinal
16829th
Binary
100000110111101
Octal
40675
Hexadecimal
0x41BD
Base64
Qb0=
One's complement
48,706 (16-bit)
Scientific notation
1.6829 × 10⁴
As a duration
16,829 s = 4 hours, 40 minutes, 29 seconds
In other bases
ternary (3) 212002022
quaternary (4) 10012331
quinary (5) 1014304
senary (6) 205525
septenary (7) 100031
nonary (9) 25068
undecimal (11) 1170a
duodecimal (12) 98a5
tridecimal (13) 7877
tetradecimal (14) 61c1
pentadecimal (15) 4ebe

As an angle

16,829° = 46 × 360° + 269°
269° ≈ 4.695 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιϛωκθʹ
Mayan (base 20)
𝋢·𝋢·𝋡·𝋩
Chinese
一萬六千八百二十九
Chinese (financial)
壹萬陸仟捌佰貳拾玖
In other modern scripts
Eastern Arabic ١٦٨٢٩ Devanagari १६८२९ Bengali ১৬৮২৯ Tamil ௧௬௮௨௯ Thai ๑๖๘๒๙ Tibetan ༡༦༨༢༩ Khmer ១៦៨២៩ Lao ໑໖໘໒໙ Burmese ၁၆၈၂၉

Digit at this position in famous constants

π — Pi (π)
Digit 16,829 = 4
e — Euler's number (e)
Digit 16,829 = 7
φ — Golden ratio (φ)
Digit 16,829 = 8
√2 — Pythagoras's (√2)
Digit 16,829 = 0
ln 2 — Natural log of 2
Digit 16,829 = 2
γ — Euler-Mascheroni (γ)
Digit 16,829 = 4

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 16,823 (gap of 6)
  • Next prime: 16,831 (gap of 2)

Pair status: twin with 16831, sexy with 16823.

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

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

Hex color
#0041BD
RGB(0, 65, 189)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.65.189.

Address
0.0.65.189
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.65.189

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

Musical pitch

Heard as a frequency, 16,829 Hz is closest to:

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

The digit sequence 16829 first appears in π at position 2,640 of the decimal expansion (the 2,640ordinal-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.