Number

13,829

13,829 is a prime, odd.

13,829 (thirteen 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, 0x3605.

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

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

13,817 13,818 13,819 13,820 13,821 13,822 13,823 13,824 13,825 13,826 13,827 13,828 13,829 13,830 13,831 13,832 13,833 13,834 13,835 13,836 13,837 13,838 13,839 13,840 13,841

less more

Properties

Parity: Odd
Digit count: 5
Digit sum: 23
Digit product: 432
Digital root: 5
Palindrome: No
Bit width: 14 bits
Reversed: 92,831
Recamán's sequence: a(21,058) = 13,829
Square (n²): 191,241,241
Cube (n³): 2,644,675,121,789
Divisor count: 2
σ(n) — sum of divisors: 13,830
φ(n) — Euler's totient: 13,828

Primality

13,829 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 13829

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 13,829)

1 × 13829

First multiples

13,829 · 27,658 (double) · 41,487 · 55,316 · 69,145 · 82,974 · 96,803 · 110,632 · 124,461 · 138,290

Sums & aliquot sequence

As a sum of two squares: 65² + 98²

As consecutive integers: 6,914 + 6,915

Continued fraction of √n

√13,829 = [117; (1, 1, 2, 11, 1, 46, 8, 2, 1, 1, 1, 3, 1, 8, 1, 1, 1, 1, 1, 13, 4, 1, 2, 1, …)]

Representations

In words: thirteen thousand eight hundred twenty-nine
Ordinal: 13829th
Binary: 11011000000101
Octal: 33005
Hexadecimal: 0x3605
Base64: NgU=
One's complement: 51,706 (16-bit)
Scientific notation: 1.3829 × 10⁴
As a duration: 13,829 s = 3 hours, 50 minutes, 29 seconds

In other bases

ternary (3) 200222012

quaternary (4) 3120011

quinary (5) 420304

senary (6) 144005

septenary (7) 55214

nonary (9) 20865

undecimal (11) a432

duodecimal (12) 8005

tridecimal (13) 63aa

tetradecimal (14) 507b

pentadecimal (15) 416e

As an angle

13,829° = 38 × 360° + 149°

149° ≈ 2.601 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιγωκθʹ
Mayan (base 20): 𝋡·𝋮·𝋫·𝋩
Chinese: 一萬三千八百二十九
Chinese (financial): 壹萬參仟捌佰貳拾玖

In other modern scripts

Eastern Arabic ١٣٨٢٩ Devanagari १३८२९ Bengali ১৩৮২৯ Tamil ௧௩௮௨௯ Thai ๑๓๘๒๙ Tibetan ༡༣༨༢༩ Khmer ១៣៨២៩ Lao ໑໓໘໒໙ Burmese ၁၃၈၂၉

Digit at this position in famous constants

π — Pi (π): Digit 13,829 = 9
e — Euler's number (e): Digit 13,829 = 1
φ — Golden ratio (φ): Digit 13,829 = 0
√2 — Pythagoras's (√2): Digit 13,829 = 8
ln 2 — Natural log of 2: Digit 13,829 = 0
γ — Euler-Mascheroni (γ): Digit 13,829 = 8

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 13,807 (gap of 22)
Next prime: 13,831 (gap of 2)

Pair status: twin with 13831.

Unicode codepoint

㘅

CJK Unified Ideograph-3605

U+3605

Other letter (Lo)

UTF-8 encoding: E3 98 85 (3 bytes).

Lookup U+3605 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#003605

RGB(0, 54, 5)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.5.

Address: 0.0.54.5
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.54.5

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

Musical pitch

Heard as a frequency, 13,829 Hz is closest to:

Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -31¢)
Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, +6¢)
Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -30¢)

Position in π

The digit sequence 13829 first appears in π at position 10,763 of the decimal expansion (the 10,763ordinal-suffix:rd 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.

Look up 13829 on Pi Search ↗