Number

13,829

13,829 is a prime, odd.

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

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

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)

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

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.

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 ↗